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cond-mat/9409057
Long-time traces of the initial condition in relaxation phenomena near criticality
The time evolution of systems relaxing towards thermal equilibrium is examined near the critical temperature $T_c$, with special attention paid to the role of the initial value $m_i$ of the order parameter $\phi$. To this end, the $n$-component model A for a cube of length $L$ is investigated. The common belief that al...
1994-09-14
2009-10-22
[ "cond-mat" ]
U. Ritschel and H. W. Diehl
cond-mat/9409058
Monte Carlo Simulation of Universal Short-Time Behavior in Critical Relaxation
The time evolution of the three-dimensional critical Ising model relaxing from a nonequilibrium initial state is studied by means of Monte Carlo simulation. We observe the characteristic initial increase of the (spatially) averaged magnetization predicted by Janssen et al. The exponent theta' that governs the initial b...
1994-09-14
2009-10-22
[ "cond-mat" ]
Z.-B. Li, U. Ritschel, and B. Zheng
cond-mat/9409053
Improved Mean-Field Scheme for the Hubbard Model
Ground state energies and on-site density-density correlations are calculated for the 1-D Hubbard model using a linear combination of the Hubbard projection operators. The mean-field coefficients in the resulting linearized Equations of Motion (EOM) depend on both one-particle static expectation values as well as stati...
1994-09-13
2009-10-22
[ "cond-mat" ]
J. C. Hicks and J. Tinka Gammel
cond-mat/9409049
Chiral and Spin Order in the 2D \pm J Xy Spin Glass : Domain Wall Scaling Analysis
This is an analytic study of the two-dimensional XY spin glass with $\pm J$ disorder. The Hamiltonian has a continuous spin symmetry and a discrete chiral symmetry, and therefore possesses, potentially, two different order parameters and correlation lengths. The cost of breaking the symmetries is probed by comparing th...
1994-09-13
2009-10-22
[ "cond-mat" ]
M. Ney-Nifle and H.J. Hilhorst
cond-mat/9409051
Mesoscopic quantum transport: Resonant tunneling in the presence of strong Coulomb interaction
Coulomb blockade phenomena and quantum fluctuations are studied in mesoscopic metallic tunnel junctions with high charging energies. If the resistance of the barriers is large compared to the quantum resistance, transport can be described by sequential tunneling. Here we study the influence of quantum fluctuations. The...
1994-09-13
2009-10-22
[ "cond-mat" ]
Herbert Schoeller and Gerd Schoen
cond-mat/9409050
Block diagonalizing ultrametric matrices
The problem of diagonalizing a class of complicated matrices, to be called ultrametric matrices, is investigated. These matrices appear at various stages in the description of disordered systems with many equilibrium phases by the technique of replica symmetry breaking. The residual symmetry, remaining after the breaki...
1994-09-13
2009-10-22
[ "cond-mat" ]
T. Temesvari, C De Dominicis and I. Kondor
cond-mat/9409052
Excitation Spectrum and Collective Modes of Composite Fermions
According to the composite fermion theory, the interacting electron system at filling factor $\nu$ is equivalent to the non-interacting composite fermion system at $\nu^*=\nu/(1-2m\nu)$, which in turn is related to the non-interacting electron system at $\nu^*$. We show that several eigenstates of non-interacting elect...
1994-09-13
2016-08-31
[ "cond-mat" ]
X.G. Wu and J.K. Jain
cond-mat/9409044
Quasi-Particles in Two-Dimensional Hubbard Model: Splitting of Spectral Weight
It is shown that the energy $(\varepsilon)$ and momentum $(k)$ dependences of the electron self-energy function $ \Sigma (k, \varepsilon + i0) \equiv \Sigma^{R}(k, \varepsilon) $ are, $ {\rm Im} \Sigma^{R} (k, \varepsilon) = -a\varepsilon^{2}|\varepsilon - \xi_{k}|^{- \gamma (k)} $ where $a$ is some constant, $\xi_{k} ...
1994-09-12
2009-10-22
[ "cond-mat" ]
Hidetoshi Fukuyama and Masao Ogata
cond-mat/9409046
Vortices and sound waves in superfluids
We consider the dynamics of vortex strings and sound waves in superfluids in the phenomenological Landau-Ginzburg equation. We first derive the vortex equation where the velocity of a vortex is determined by the average fluid velocity and the density gradient near the vortex. We then derive the effective action for vor...
1994-09-12
2007-05-23
[ "cond-mat" ]
Kimyeong Lee
cond-mat/9409043
Algebraic Scaling of the Kondo Temperature in a Luttinger Liquid
I show here how the algebraic scaling of the Kondo temperature in a Luttinger liquid can be understood simply from the condition for the existence of the singlet (or triplet) bound state.
1994-09-12
2007-05-23
[ "cond-mat" ]
Philip Phillips
cond-mat/9409048
Solution of the two-impurity Kondo model: critical point, Fermi-liquid phase, and crossover
An asymptotically exact solution is presented for the two-impurity Kondo model for a finite region of the parameter space surrounding the critical point. This region is located in the most interesting intermediate regime where RKKY interaction is comparable to the Kondo temperature. After several exact simplification...
1994-09-12
2009-10-22
[ "cond-mat" ]
Junwu Gan
cond-mat/9409045
Proportion of Unaffected Sites in a Reaction-Diffusion Process
We consider the probability $P(t)$ that a given site remains unvisited by any of a set of random walkers in $d$ dimensions undergoing the reaction $A+A\to0$ when they meet. We find that asymptotically $P(t)\sim t^{-\theta}$ with a universal exponent $\theta=\ffrac12-O(\epsilon)$ for $d=2-\epsilon$, while, for $d>2$, $\...
1994-09-12
2009-10-22
[ "cond-mat" ]
John Cardy
cond-mat/9409047
Quantum Properties of an Andreev Phase Gradiometer
A new class of nano-structure devices is suggested, based on interference from the order parameter phase gradient of a single superconductor (S) in contact with a single normal metallic lead (N). By solving the Bogoliubov - de Gennes equation in two dimensions, it is demonstrated that the electrical conductance of a no...
1994-09-12
2019-08-15
[ "cond-mat" ]
P Cook, V C Hui and C J Lambert
cond-mat/9409042
The Nature and Validity of the RKKY limit of exchange coupling in magnetic trilayers
The effects on the exchange coupling in magnetic trilayers due to the presence of a spin-independent potential well are investigated. It is shown that within the RKKY theory no bias nor extra periods of oscillation associated with the depth of the well are found, contrary to what has been claimed in recent works. The r...
1994-09-10
2009-10-22
[ "cond-mat" ]
M. S. Ferreira, R. B. Muniz, J. d'Albuquerque e Castro and D. M. Edwards
cond-mat/9409040
On the Nature of the Gaussian Approximations in Phase Ordering Kinetics s
The structure of the gaussian auxiliary field approximation in the theory of phase ordering kinetics is analysed with the aim of placing the method within the context of a systematic theory. While we are unable to do this for systems with a scalar order parameter, where the approximation remains uncontrolled, a systema...
1994-09-09
2016-08-31
[ "cond-mat" ]
De Siena and M. Zannetti
cond-mat/9409037
Scaling Regimes, Crossovers, and Lattice Corrections in 2D Heisenberg Antiferromagnets
We study scaling behavior in 2D, S=1/2 and S=1 Heisenberg antiferromagnets using the data on full q-dependences of the equal time structure factor and the static susceptibility, calculated through high temperature expansions. We also carry out comparisons with a model of two coupled S=1/2 planes with the interlayer cou...
1994-09-09
2009-10-22
[ "cond-mat" ]
N. Elstner, R. L. Glenister, R. R. P. Singh and A. Sokol
cond-mat/9409038
Enhancement of Persistent Currents by the Coulomb Interaction
The persistent current in three-dimensional mesoscopic rings is investigated numerically. The model is tight-binding one with random site-energies and interaction between electrons. The Hartree-Fock approximation is adopted for the interaction between electrons, and models with up to $3\times 4\times 40$ sites are inve...
1994-09-09
2007-05-23
[ "cond-mat" ]
D. Yoshioka and H. Kato
cond-mat/9409039
An Exactly Solvable Model of Fermions with Disorder
Non-perturbative results are obtained for multipoint correlation functions of the model of (2 + 1)-dimensional relativistic fermions in a random static non-Abelian gauge potential. The results indicate that the replica symmetry remains unbroken. We calculate the diffuson propagator and show that DC-conductivity for thi...
1994-09-09
2009-10-22
[ "cond-mat" ]
A. M. Tsvelik
cond-mat/9409041
The Inhibition of Mixing in Chaotic Quantum Dynamics
We study the quantum chaotic dynamics of an initially well-localized wave packet in a cosine potential perturbed by an external time-dependent force. For our choice of initial condition and with $\hbar$ small but finite, we find that the wave packet behaves classically (meaning that the quantum behavior is indistinguis...
1994-09-09
2009-10-22
[ "cond-mat", "chao-dyn", "nlin.CD" ]
B. S. Helmkamp and D. A. Browne
cond-mat/9409031
Exact Solution of the Sutherland Model with arbitrary symmetry
An elementary theory is presented for solving the Sutherland model with arbitrary internal symmetry such as SU($\nu$) or a supersymmetry SU($\nu, \mu$). The ground state wave function and all the energy levels are derived. One starts with solving a variant of the model with distinguishable particles, and then (anti)sym...
1994-09-08
2009-10-22
[ "cond-mat" ]
Yusuke Kato and Yoshio Kuramoto
cond-mat/9409034
Theory of Second Order Optical Processes from A Luttinger Liquid
We develop a theory for the total optical secondary emission from a 1D interacting electron system modelled as a Tomonaga-Luttinger liquid. We separate the emission into two parts which may originate in {\em hot luminescence} (HL) and {\em Raman Scattering} (RS) respectively when we neglect the {\em interference} effec...
1994-09-08
2009-10-22
[ "cond-mat" ]
Jun Zang, Joseph L Birman and Zhao-Bin Su
cond-mat/9409032
Numerical Studies of the Two Dimensional XY Model with Symmetry Breaking Fields
We present results of numerical studies of the two dimensional XY model with four and eight fold symmetry breaking fields. This model has recently been shown to describe hydrogen induced reconstruction on the W(100) surface. Based on mean-field and renormalization group arguments,we first show how the interplay between...
1994-09-08
2009-10-22
[ "cond-mat", "hep-lat" ]
T. Ala-Nissila, E. Granato, K. Kankaala, J. M. Kosterlitz, and S.-C. Ying
cond-mat/9409036
Developments in the Theory of the Quantum Hall Effect, Proceedings of the 1994 Vancouver Semiconductor Conference
The past few years have produced major advances in our understanding of the quantum Hall effects---quantized and unquantized. Theories based on a mathematical transformation, where the electrons are replaced by a set of fermions interacting with a Chern-Simons gauge field, have been useful for explaining and predicting...
1994-09-08
2007-05-23
[ "cond-mat" ]
Bertrand I. Halperin
cond-mat/9409033
Electron Localization in a 2D System with Random Magnetic Flux
Using a finite-size scaling method, we calculate the localization properties of a disordered two-dimensional electron system in the presence of a random magnetic field. Below a critical energy $E_c$ all states are localized and the localization length $\xi$ diverges when the Fermi energy approaches the critical energy,...
1994-09-08
2009-10-22
[ "cond-mat" ]
D.Z. Liu, X.C. Xie, S. Das Sarma and S.C. Zhang
cond-mat/9409035
Composite Fermions in Quantum Dots
We demonstrate the formation of composite fermions in two-dimensional quantum dots under high magnetic fields. The composite fermion interpretation provides a simple way to understand several qualitative and quantitative features of the numerical results obtained earlier in exact diagonalization studies. In particular,...
1994-09-08
2009-10-22
[ "cond-mat" ]
J.K. Jain and T. Kawamura
cond-mat/9409025
Generalized Laughlin Wave Functions Including the Effect of Coulomb Interaction
We present improved wave functions for the ground state, Laughlin quasihole and quasiparticle excitations of the fractional quantum Hall effect. These depend explicitly on the effective strength of Coulomb interaction and reproduce Laughlin's original result in the limit of no Coulomb interaction.
1994-09-07
2009-10-22
[ "cond-mat" ]
O.J. Kwon(KongJu Ed.U), B.-H. Lee, and S.-J. Sin (Hanyang U.)
cond-mat/9409026
Diamagnetic Response due to Localization in Chains of Connected Mesoscopic Rings
A dynamic response to a magnetic field of a chain of connected mesoscopic rings is considered. We show that the low frequency behavior corresponds to localization of the elctrons along the chain and to diamagnetic dynamic currents inside rings. The magnetization density due to these currents does not vanish even in the...
1994-09-07
2009-10-22
[ "cond-mat" ]
S. Kettemann and K. B. Efetov
cond-mat/9409028
Impurity scattering and transport of fractional Quantum Hall edge state
We study the effects of impurity scattering on the low energy edge state dynamic s for a broad class of quantum Hall fluids at filling factor $\nu =n/(np+1)$, for integer $n$ and even integer $p$. When $p$ is positive all $n$ of the edge modes are expected to move in the same direction, whereas for negative $p$ one mod...
1994-09-07
2009-10-22
[ "cond-mat" ]
C.L. Kane and M.P.A. Fisher
cond-mat/9409024
Supersymmetry in quantum chaos and mesoscopic physics
A brief review of the supersymmetry method and its application to mesoscopic physics and quantum chaos is given. Alghough a non-linear supermatrix $% \sigma $-model in this approach was derived from models with random potential, it is emphasized that the zero-dimensional version of the $\sigma $-model is equivalent to ...
1994-09-07
2015-06-25
[ "cond-mat" ]
Konstantin Efetov
cond-mat/9409027
Capacitance and Transport through an Isolated Impurity Center in 1D Luttinger Liquid
We establish the equivalence between the problem of a solitary potential scatterer in a Luttinger liquid of spinless repulsive fermions and an anisotropic Kondo model where the value of the impurity spin id determined by the scaling dimension of the scattering potential. The Bethe ansatz is used to derive non-perturbat...
1994-09-07
2008-02-03
[ "cond-mat" ]
A. M. Tsvelik
cond-mat/9409030
Gauge invariance and wave packet simulations in the presence of dipole fields
A method for performing wave packet simulations in dipole fields is presented. Starting from a Hamiltonian with non commuting terms, a gauge transformation leads to a new Hamiltonian which allows to calculate explicitly the evolution operator. In this new gauge, the dipole field is fully included in the {\it vector} po...
1994-09-07
2009-10-22
[ "cond-mat" ]
Thierry Martin
cond-mat/9409029
Switching Nano-Device based on Rabi Oscillations
We consider a potential landscape composed of a well region separated from a "free" region by a barrier, such that one bound state and one quasi level exist in the well. A particle initially in the ground state can be activated to the quasi level by application of a micro wave field, and subsequently tunnel in the free...
1994-09-07
2009-10-22
[ "cond-mat" ]
Thierry Martin and Gennady Berman
cond-mat/9409023
Burgers Turbulence and Interface Growth III. Similarity Functional Solution of Hopf Equation. the Case of Random Gaussian Forcing
For the problem of Burgers turbulence with random gaussian forcing a similarity functional solution of Hopf equation is presented and compared with scaling arguments and replica Bethe-anzatz treatments. The corresponding field theory is almost non-anomalous. In one dimension the local fluctuations develop self-similar ...
1994-09-06
2007-05-23
[ "cond-mat" ]
Sergei E. Esipov
cond-mat/9409019
Rezayi and Read Reply
Reply to comment by Jain, Cond-mat 9409012 published in the Physical Review Letters, Number 73, 1052 (1994).
1994-09-06
2009-10-22
[ "cond-mat" ]
E. Rezayi and N. Read
cond-mat/9409022
Recurrences in Driven Quantum Systems
We consider an initially bound quantum particle subject to an external time-dependent field. When the external field is large, the particle shows a tendency to repeatedly return to its initial state, irrespective of whether the frequency of the field is sufficient for escape from the well. These recurrences, which are ...
1994-09-06
2009-10-22
[ "cond-mat" ]
V. Poduri, D. A. Browne and U. Patil
cond-mat/9409021
Dynamics of Particle Deposition on a Disordered Substrate: I. Near- Equilibrium Behavior
A growth model which describes the deposition of particles (or the growth of a rigid crystal) on a disordered substrate is investigated. The dynamic renormalization group is applied to the stochastic growth equation using the Martin, Sigga, and Rose formalism. The periodic potential and the quenched disorder, upon aver...
1994-09-06
2009-10-22
[ "cond-mat" ]
Yan-Chr Tsai and Yonathan Shapir
cond-mat/9409020
Fractional quantum Hall effect in higher Landau levels
We investigate, using finite size numerical calculations, the spin-polarized fractional quantum Hall effect (FQHE) in the first excited Landau level (LL). We find evidence for the existence of an incompressible state at $\nu = \frac{7}{3} = 2+\frac{1}{3}$, but not at $\nu = 2+\frac{2}{5}$. Surprisingly, the 7/3 state i...
1994-09-06
2009-10-22
[ "cond-mat" ]
Lotfi Belkhir and J. K. Jain
cond-mat/9409014
A simple approach to the correlation of rotovibrational states in four-atomic molecules
The problem of correlation between quantum states of four-atomic molecules in different geometrical configurations is reviewed in detail. A general, still simple rule is obtained which allows one to correlate states of a linear four-atomic molecule with those of any kind of non-linear four-atomic molecule.
1994-09-06
2009-10-22
[ "cond-mat" ]
N.Manini and S.Oss
cond-mat/9409016
Bosonization on the lattice: the emergence of the higher harmonics
A general and transparent procedure to bosonize fermions placed on a lattice is presented. Harmonics higher than $k_F$ are shown to appear in the one-paticle Green function, due to the compact character of real electron bands. Quantitative estimations of the role of these higher harmonics are made possible by the boson...
1994-09-06
2016-08-16
[ "cond-mat", "hep-th" ]
Jaime Ferrer, J. Gonz\'alez and M.-A. Mart\'in-Delgado
cond-mat/9409013
Novel Phases and Finite-Size Scaling in Two-Species Asymmetric Diffusive Processes
We study a stochastic lattice gas of particles undergoing asymmetric diffusion in two dimensions. Transitions between a low-density uniform phase and high-density non-uniform phases characterized by localized or extended structure are found. We develop a mean-field theory which relates coarse-grained parameters to micr...
1994-09-06
2009-10-22
[ "cond-mat", "adap-org", "nlin.AO" ]
Kwan-tai Leung
cond-mat/9409018
Ginzburg-Landau Expansion and Physical Properties of Odd-Gap Superconductors
Ginzburg-Landau expansion is derived for superconductors with the gap-function odd over $k-k_{F}$. It is shown that in this odd-gap case Ginzburg-Landau coefficients possess an additional dependence on the pairing coupling constant which leads to the appropriate dependence of the physical properties. Non-magnetic impur...
1994-09-06
2007-05-23
[ "cond-mat" ]
E.Z.Kuchinskii, A.I.Posazhennikova, M.V.Sadovskii
cond-mat/9409015
Geographic speciation in the Derrida-Higgs model of species formation
We consider the Derrida-Higgs (DH) statistical model of species formation in the case where the population is geographically distributed in discrete locations, and mating only takes place within one location. Keeping the rate of migration between neighbouring locations at a fixed value, we change the mutation rate, cha...
1994-09-06
2009-10-22
[ "cond-mat", "q-bio.PE" ]
F Manzo and L Peliti
cond-mat/9409017
Gap Formation Probability of the $\alpha-$ Ensemble
In this paper we employ the continuum approximation of Dyson to determine the asymptotic gap formation probability in the spectrum of $N\times N$ Hermitean random matrices. The associated orthogonal polynomials has weight function, $w(x)=e^{-u(x)},$ where $u(x)=x^{\alpha},\;\alpha>0,\;0<x<\infty.$ It is shown that the ...
1994-09-06
2015-06-25
[ "cond-mat" ]
Yang Chen and Kasper Juel Eriksen
cond-mat/9409010
Exactly solvable Kondo lattice model
In this work, we exactly solve a Kondo lattice model in the thermodynamic limit. The system consists of an electronic conduction band described by unconstrained hopping matrix elements between the lattice sites. The conducting electrons interact with a localized impurity spin at each lattice cell. We have found the exa...
1994-09-05
2009-10-22
[ "cond-mat", "hep-th" ]
D. F. Wang and C. Gruber
cond-mat/9409012
Compressible $\nu=\frac{1}{2}$ state in a finite size study?
This is a comment published in Phys. Rev. Lett. vol. 73, page 1051 (1994).
1994-09-05
2009-10-22
[ "cond-mat" ]
J.K. Jain
cond-mat/9409009
Domain Patterns in Incommensurate Systems with the Uniaxial Real Order Parameter
The basic Landau model for the incommensurate-commensurate transition to the uniform or dimerized uniaxial ordering is critically reexamined. The previous analyses identified only sinusoidal and homogeneous solutions as thermodynamically stable and proposed a simple phase diagram with the first order phase transition b...
1994-09-05
2009-10-22
[ "cond-mat" ]
V. Dananic and A. Bjelis, Zagreb, Croatia
cond-mat/9409011
Polymer Collapse on Fluctuating Random Surfaces
The conformations of interacting linear polymers on a dynamical planar random lattice are studied using a random two-matrix model. An exact expression for the partition function of self-avoiding chains subject to attractive contact interactions of relative strength $1/c$, $0<c<1$, is found as a function of chain length...
1994-09-05
2008-02-03
[ "cond-mat", "hep-th" ]
Simon Dalley
cond-mat/9409005
Magnetic screening properties of an incompressible chiral fluid
We study the possible penetration of a static magnetic field in an idealized sample of many layers supporting a two dimensional charged chiral quantum fluid, to see whether there is a kind of Meissner effect. This is a non standard problem since the quantum fluid is incompressible having a gap in its spectrum. We find ...
1994-09-02
2009-10-22
[ "cond-mat", "hep-th" ]
Pietro Donatis, Roberto Iengo (Sissa Trieste)
cond-mat/9409008
Stability and effective masses of composite-fermions in the first and second Landau Level
We propose a measure of the stability of composite fermions (CF's) at even-denominator Landau-level filling fractions. Assuming Landau-level mixing effects are not strong, we show that the CF liquid at $\nu=2+1/2$ in the $n=1$ Landau level cannot exist and relate this to the absence of a hierarchy of incompressible sta...
1994-09-02
2009-10-22
[ "cond-mat" ]
R. Morf and N. d'Ambrumenil
cond-mat/9409007
Vortex Lattice Melting in 2D Superconducting Networks and Films
We carry out MC studies of 2D superconducting networks, in an applied magnetic field, for square and honeycomb geometries. We consider both dilute systems (f=1/q) and systems near full frustration (f=1/2-1/q). For the dilute case (which models a film as q->infinity), we find two transitions: at T_c(f)~1/q there is a de...
1994-09-02
2009-10-22
[ "cond-mat" ]
M. Franz and S. Teitel
cond-mat/9409006
Two particle correlations and orthogonality catastrophe in interacting Fermi systems
The wave function of two fermions, repulsively interacting in the presence of a Fermi sea, is evaluated in detail. We consider large but finite systems in order to obtain an unabiguous picture of the two-particle correlations. As recently pointed out by Anderson, in two or lower dimensions the particles may be correlat...
1994-09-02
2015-06-25
[ "cond-mat" ]
W. Metzner and C. Castellani
cond-mat/9409001
Topological Defects, Orientational Order, and Depinning of the Electron Solid in a Random Potential
We report on the results of molecular dynamics simulation (MD) studies of the classical two-dimensional electron crystal in the presence disorder. Our study is motivated by recent experiments on this system in modulation doped semiconductor systems in very strong magnetic fields, where the magnetic length is much small...
1994-09-01
2009-10-22
[ "cond-mat" ]
Min-Chul Cha and H.A. Fertig
cond-mat/9409004
Currents in the Compressible and Incompressible Regions of the 2DEG
We derive a general expression for the low-temperature current distribution in a two-dimensional electron gas, subjected to a perpendicular magnetic field and in a confining potential that varies slowly on the scale of the magnetic length l. The analysis is based on a self-consistent one-electron description, such as t...
1994-09-01
2009-10-22
[ "cond-mat" ]
Michael R. Geller and Giovanni Vignale
cond-mat/9409002
Driven Depinning in Anisotropic Media
We show that the critical behavior of a driven interface, depinned from quenched random impurities, depends on the isotropy of the medium. In anisotropic media the interface is pinned by a bounding (conducting) surface characteristic of a model of mixed diodes and resistors. Different universality classes describe depi...
1994-09-01
2009-10-22
[ "cond-mat" ]
L.-H. Tang, M. Kardar, and D. Dhar
cond-mat/9409003
Instabilities of Charged Polyampholytes
We consider polymers formed from a (quenched) random sequence of charged monomers of opposite signs. Such polymers, known as polyampholytes (PAs), are compact when completely neutral and expanded when highly charged. We examine the transition between the two regimes by Monte Carlo simulations, and by analogies to charg...
1994-09-01
2009-10-22
[ "cond-mat" ]
Yacov Kantor and Mehran Kardar
cond-mat/9408100
Liberating Exotic Slaves
The introduction of confined, ``slave'' fields is frequently useful as a formal device in models of condensed matter physics; it becomes a conceptual necessity for describing possible phases of matter where the slaves are liberated. Here I discuss some aspects of the fractional quantum Hall effect from this point of vi...
1994-08-31
2007-05-23
[ "cond-mat", "hep-th" ]
Frank Wilczek
cond-mat/9408097
Lattice Green Function (at 0) for the 4d Hypercubic Lattice
The generating function for recurrent Polya walks on the four dimensional hypercubic lattice is expressed as a Kampe-de-Feriet function. Various properties of the associated walks are enumerated.
1994-08-31
2009-10-22
[ "cond-mat" ]
M.L. Glasser and A.J. Guttmann
cond-mat/9408096
Observable Zero Sound in Strongly Correlated Metals
The slow zero-sound mode expected near the Mott transition in strongly interacting two-dimensional Fermi systems that are neutral is shown to persist as the physical sound mode in the case that the fermion carries electronic charge and is embedded in a positive ionic background. The latter sound velocity softens comple...
1994-08-31
2009-10-22
[ "cond-mat" ]
J.P. Rodriguez
cond-mat/9408098
Magnetic von-Neumann lattice for two-dimensional electrons in the magnetic field
One-particle eigenstates and eigenvalues of two-dimensional electrons in the strong magnetic field with short range impurity and impurities, cosine potential, boundary potential, and periodic array of short range potentials are obtained by magnetic von-Neumann lattice in which Landau level wave functions have minimum s...
1994-08-31
2009-10-22
[ "cond-mat" ]
K.Ishikawa, N.Maeda and K.Tadaki
cond-mat/9408101
Integrble Models in Condensed Matter Physics
This is an expanded version of the lectures given at the Trieste Summer School 1992 on Low-dimensional Quantum Field Theories for Condensed Matter Physicists.
1994-08-31
2016-11-03
[ "cond-mat" ]
Natan Andrei
cond-mat/9408102
Rigorous upper bound for the persistent current in systems with toroidal geometry
It is shown that the absolute value of the persistent current in a system with toroidal geometry is rigorously less than or equal to $e \hbar N /4 \pi m r_0^2$, where $N$ is the number of electrons, and $r_0^{-2} = \langle r_i^{-2}\rangle$ is the equilibrium average of the inverse of the square of the distance of an el...
1994-08-31
2009-10-22
[ "cond-mat" ]
Giovanni Vignale
cond-mat/9408099
Hyperuniversality of Fully Anisotropic Three-Dimensional Ising Model
For the fully anisotropic simple-cubic Ising lattice, the critical finite-size scaling amplitudes of both the spin-spin and energy-energy inverse correlation lengths and the singular part of the reduced free-energy density are calculated by the transfer-matrix method and a finite-size scaling for cyclic L x L x oo clus...
1994-08-31
2009-10-22
[ "cond-mat" ]
M. A. Yurishchev
cond-mat/9408093
The effects of the carrier interaction and electric fields on subband structures of selectively--doped semiconductor quantum wells
We investigate the ground--state electronic properties of the symmetrically-- doped semiconductor quantum well in the presence of a homogeneous electric field. In this paper we examined the effect of the electric field and carrier interaction on the subband structure as a function of the field strength and carrier conc...
1994-08-30
2008-02-03
[ "cond-mat" ]
Sung--Kyun Park and Kyung--Soo Yi
cond-mat/9408095
Theory of electron-hole asymmetry in doped {\em CuO$_2$} planes
The magnetic phase diagrams, and other physical characteristics, of the hole- doped {\em La$_{2-x}$Sr$_x$CuO$_4$} and electron-doped {\em Nd$_{2-x}$Ce$_x$ CuO$_4$} high-temperature superconductors are profoundly different. Starting with the $t-t^{\prime}-J$ model, the spin distortions and the spatial distri- bution of ...
1994-08-30
2009-10-22
[ "cond-mat" ]
R.J. R.J. Gooding, K.J.E. Vos, and P.W. Leung
cond-mat/9408094
Transport properties of a quantum wire in the presence of impurities and long-range Coulomb forces
One-dimensional electron systems interacting with long-range Coulomb forces (quantum wires) show a Wigner crystal structure. We investigate in this paper the transport properties of such a Wigner crystal in the presence of impurities. Contrary to what happens when only short-range interactions are included, the system ...
1994-08-30
2009-10-22
[ "cond-mat" ]
H. Maurey and T. Giamarchi
cond-mat/9408092
Exactly Solvable Models of Strongly Correlated Electrons
This is a reprint volume devoted to exact solutions of models of strongly correlated electrons in one spatial dimension by means of the Bethe Ansatz.
1994-08-29
2007-05-23
[ "cond-mat" ]
V.E. Korepin and F.H.L. Essler
cond-mat/9408091
Extremal Segments in Random Sequences
We investigate the probability for the largest segment in with total displacement $Q$ in an $N$-step random walk to have length $L$. Using analytical, exact enumeration, and Monte Carlo methods, we reveal the complex structure of the probability distribution in the large $N$ limit. In particular, the size of the longes...
1994-08-29
2009-10-22
[ "cond-mat" ]
Yacov Kantor and Deniz Ertas
cond-mat/9408090
Exact ground state correlations in the supersymmetric $1/r^2$ exchange $t-J$ model
Some ground state static correlation functions for the $1/r^2$ exchange $t-J$ model of Kuramoto and Yokoyama are calculated exactly. The correlations calcualted are the pair distribution functions between two down spins, a down spin and a hole, and two holes, and the one body density matrix (equal time retarded Green's...
1994-08-28
2009-10-22
[ "cond-mat" ]
P.J. Forrester
cond-mat/9408089
Laughlin State on Stretched and Squeezed Cylinders and Edge Excitations in Quantum Hall Effect
We study the Laughlin wave function on the cylinder. We find it only describes an incompressible fluid when the two lengths of the cylinder are comparable. As the radius is made smaller at fixed area, we observe a continuous transition to the charge density wave Tao-Thouless state. We also present some exact properties...
1994-08-27
2009-10-22
[ "cond-mat" ]
E.H. Rezayi, and F.D.M. Haldane
cond-mat/9408087
Phase Diagram for a Luttinger Liquid coupled to Phonons in one dimension
The Green function and the ordering correlation functions of a system of electrons coupled to acoustic phonons are calculated explicitly. The sensitivity of the correlation function exponents to the Wentzel-Bardeen singularity is discussed. A phase diagram is established for the Hubbard model coupled to phonons, using ...
1994-08-26
2015-06-25
[ "cond-mat" ]
Thierry Martin and Daniel Loss
cond-mat/9408086
Wentzel-Bardeen singularity and phase diagram for interacting electrons coupled to acoustic phonons in one dimension
Using a Luttinger liquid description, the correlation function exponents of various response functions are calculated. Their striking sensitivity to the non perturbative Wentzel-Bardeen singularity is discussed. For the Hubbard model coupled to phonons, the equivalent of a phase diagram is established. By increasing th...
1994-08-26
2009-10-22
[ "cond-mat" ]
Daniel Loss and Thierry Martin
cond-mat/9408088
Wentzel-Bardeen singularity in coupled Luttinger liquids: transport properties
The recent progress on 1 D interacting electrons systems and their applications to study the transport properties of quasi one dimensional wires is reviewed. We focus on strongly correlated electrons coupled to low energy acoustic phonons in one dimension. The Wentzel--Bardeen singularity suppresses antiferromagnetic f...
1994-08-26
2015-06-25
[ "cond-mat" ]
Thierry Martin
cond-mat/9408083
Exact Results for Hamiltonian Walks from the Solution of the Fully Packed Loop Model on the Honeycomb Lattice
We derive the nested Bethe Ansatz solution of the fully packed O($n$) loop model on the honeycomb lattice. From this solution we derive the bulk free energy per site along with the central charge and geometric scaling dimensions describing the critical behaviour. In the $n=0$ limit we obtain the exact compact exponents...
1994-08-25
2009-10-22
[ "cond-mat", "hep-th" ]
M.T. Batchelor, J. Suzuki and C.M. Yung
cond-mat/9408085
Time-Dependent Current Partition in Mesoscopic Conductors
The currents at the terminals of a mesoscopic conductor are evaluated in the presence of slowly oscillating potentials applied to the contacts of the sample. The need to find a charge and current conserving solution to this dynamic current partition problem is emphasized. We present results for the electro-chemical adm...
1994-08-25
2009-10-22
[ "cond-mat" ]
M. Buttiker (IBM T. J. Watson Res. Ctr., Yorktown Heights, N.Y.)
cond-mat/9408084
The Chiral Potts Model and Its Associated Link Invariant
A new link invariant is derived using the exactly solvable chiral Potts model and a generalized Gaussian summation identity. Starting from a general formulation of link invariants using edge-interaction spin models, we establish the uniqueness of the invariant for self-dual models. We next apply the formulation to the ...
1994-08-25
2009-10-22
[ "cond-mat" ]
F. Y. Wu, P. Pant (Department of Physics, Northeastern University) and C.King (Department of Mathematics, Northeastern University)
cond-mat/9408080
Density waves and $1/f$ density fluctuations in granular flow
We simulate the granular flow in a narrow pipe with a lattice-gas automaton model. We find that the density in the system is characterized by two features. One is that spontaneous density waves propagate through the system with well-defined shapes and velocities. The other is that density waves are so distributed to ma...
1994-08-24
2009-10-22
[ "cond-mat", "comp-gas", "nlin.CG" ]
Gongwen Peng and Hans J. Herrmann
cond-mat/9408075
Mesoscopic Fluctuations of Eigenfunctions and "Level Velocity" Distribution in Disordered Metals
We calculate the distribution of eigenfunction amplitudes and the variance of the ``inverse participation ratio'' (IPR) in disordered metallic samples. A relation is established between the distribution function of IPR and that of ``level velocities'' -- parametric derivatives of energy levels with respect to a random ...
1994-08-24
2009-10-22
[ "cond-mat" ]
Yan V.Fyodorov and Alexander D.Mirlin
cond-mat/9408082
Charge transfer fluctuation, $d-$wave superconductivity, and the $B_{1g}$ Raman phonon in the Cuprates: A detailed analysis
The Raman spectrum of the $B_{1g}$ phonon in the superconducting cuprate materials is investigated theoretically in detail in both the normal and superconducting phases, and is contrasted with that of the $A_{1g}$ phonon. A mechanism involving the charge transfer fluctuation between the two oxygen ions in the CuO$_2$ p...
1994-08-24
2009-10-22
[ "cond-mat" ]
T. P. Devereaux, A. Virosztek and A. Zawadowski
cond-mat/9408073
Ballistic Transport Through Chaotic Cavities: Can Parametric Correlations and the Weak Localization Peak be Described by a Brownian Motion Model?
A Brownian motion model is devised on the manifold of S-matrices, and applied to the calculation of conductance-conductance correlations and of the weak localization peak. The model predicts that (i) the correlation function in $B$ has the same shape and width as the weak localization peak; (ii) the functions behave as...
1994-08-24
2009-04-30
[ "cond-mat" ]
Jochen Rau
cond-mat/9408074
The High-Field Superconducting Transition induced by Correlated Disorder
The "glassy" superconducting transition at high magnetic fields can be induced by columnar disorder. A model is proposed in which the thermodynamics of Bose condensation of Cooper pairs into the lowest Landau-level eigenstate of the random potential can be solved exactly. The solution reflects a peculiar character of t...
1994-08-24
2009-10-22
[ "cond-mat" ]
Zlatko Tesanovic and Igor F. Herbut
cond-mat/9408081
Noise in a Quantum Point Contact due to a Fluctuating Impurity Configuration
We propose a theoretical model for the low-frequency noise observed in a quantum point contact (QPC) electrostatically defined in the 2D electron gas at a GaAs-AlGaAs interface. In such contacts electron scattering by soft impurity- or boundary potentials coherently splits an incoming wave function between different tr...
1994-08-24
2009-10-22
[ "cond-mat" ]
J. P. Hessling, Yu. Galperin, M. Jonson, R. I. Shekhter, A.M. Zagoskin
cond-mat/9408079
Glassy Transition and Aging in a Model without Disorder
We study the off-equilibrium relaxational dynamics of the Amit-Roginsky $\phi^3$ field theory, for which the mode coupling approximation is exact. We show that complex phenomena such as aging and ergodicity breaking are present at low temperature, similarly to what is found in long range spin glasses. This is a general...
1994-08-24
2009-10-22
[ "cond-mat" ]
Silvio Franz and John Hertz
cond-mat/9408078
Three-dimensional electronic instabilities in polymerized solid A1C60
The low-temperature structure of A1C60 (A=K, Rb) is an ordered array of polymerized C60 chains, with magnetic properties that suggest a non-metallic ground state. We study the paramagnetic state of this phase using first-principles electronic-structure methods, and examine the magnetic fluctuations around this state us...
1994-08-24
2009-10-22
[ "cond-mat" ]
S.C. Erwin, G.V. Krishna, and E.J. Mele
cond-mat/9408068
Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
The conductance for tunneling through a point contact between two $\nu =1/3$ quantum Hall edges is described by a universal scaling function, which has recently been measured experimentally. We compute this universal function exactly, by using the thermodynamic Bethe ansatz and a Boltzmann equation.
1994-08-23
2009-10-22
[ "cond-mat", "hep-th" ]
P. Fendley, A.W.W. Ludwig and H. Saleur
cond-mat/9408072
Level Statistics in a Metallic Sample: Corrections to the Wigner-Dyson Distribution
Deviation of the level correlation function in a mesoscopic metallic sample from the Wigner--Dyson distribution is calculated by using a combination of the renormalization group and non-perturbative treatment. For given spatial dimension the found correction is determined by the sample conductance.
1994-08-23
2007-05-23
[ "cond-mat" ]
Vladimir E. Kravtsov and Alexander D. Mirlin
cond-mat/9408071
Supersymmetric classical mechanics
We study the classical properties of a supersymmetric system which is often used as a model for supersymmetric quantum mechanics. It is found that the classical dynamics of the bosonic as well as the fermionic degrees of freedom is fully described by a so--called quasi--classical solution. We also comment on the import...
1994-08-23
2009-10-22
[ "cond-mat", "chem-ph", "hep-th" ]
Georg Junker and Stephan Matthiesen
cond-mat/9408070
Acceleration Schemes for Ab-Initio Molecular Dynamics and Electronic Structure Calculations
We study the convergence and the stability of fictitious dynamical methods for electrons. First, we show that a particular damped second-order dynamics has a much faster rate of convergence to the ground-state than first-order steepest descent algorithms while retaining their numerical cost per time step. Our damped dy...
1994-08-23
2009-10-22
[ "cond-mat" ]
Francesco Tassone, Francesco Mauri and Roberto Car
cond-mat/9408069
Superconductive Phonon Anomalies in High-$T_c$ Cuprates
We consider the effects on phonon dynamics of spin-lattice coupling within the slave-boson mean-field treatment of the extended $t$-$J$ model. With no additional assumptions the theory is found to give a semi-quantitative account of the frequency and linewidth anomalies observed by Raman and neutron scattering for the ...
1994-08-23
2009-10-22
[ "cond-mat" ]
B. Normand, H. Kohno and H. Fukuyama
cond-mat/9408066
Effective Medium Tight-Binding Theory
In this thesis a new model for calculating the total energy of atomic and solid systems is presented. The model is used to study the properties of the Si(100) surface and dislocation dynamics in the diamond structure. For the Si(100) surface the main result is the finding of an incomplete melted state at $1550^0 K$. Th...
1994-08-22
2007-05-23
[ "cond-mat" ]
Kurt Stokbro
cond-mat/9408067
Bound on the Group Velocity of an Electron in a 1D Periodic Potential
By using a recently derived upper bound on the allowed equilibrium current in a ring, it is proved that the magnitude of the group velocity of a Bloch electron in a one-dimensional periodic potential is always less than or equal to the group velocity of the same Bloch state in an empty lattice. Our inequality also impl...
1994-08-22
2009-10-22
[ "cond-mat" ]
Michael R. Geller and Giovanni Vignale
cond-mat/9408065
Anisotropic two-dimensional Heisenberg model by Schwinger-boson Gutzwiller projected method
Two-dimensional Heisenberg model with anisotropic couplings in the $x$ and $y$ directions ($J_x \neq J_y$) is considered. The model is first solved in the Schwinger-boson mean-field approximation. Then the solution is Gutzwiller projected to satisfy the local constraint that there is only one boson at each site. The en...
1994-08-22
2009-10-22
[ "cond-mat" ]
T.Miyazaki, D.Yoshioka, M.Ogata
cond-mat/9408064
Tunneling and Quantum Noise in 1-D Luttinger Liquids
We study non-equilibrium noise in the transmission current through barriers in 1-D Luttinger liquids and in the tunneling current between edges of fractional quantum Hall liquids. The distribution of tunneling events through narrow barriers can be described by a Coulomb gas lying in the time axis along a Keldysh (or no...
1994-08-21
2009-10-22
[ "cond-mat" ]
C. de C. Chamon, D. E. Freed and X. G. Wen
cond-mat/9408057
Spin dynamics of the doped t-J model
We present a new method for studying the low energy excitations in finite cluster systems and apply it to clarify the nature of the low energy spin excitations in the moderately doped t-J model. We find that the character of the low energy spin excitations changes within the Brillouin zone, with the dominant excitati...
1994-08-19
2007-05-23
[ "cond-mat" ]
R. Eder and Y. Ohta (Department of Applied Physics, Nagoya University, Nagoya 464-01, Japan)
cond-mat/9408056
Exactly solvable model of a quantum spin glass
A mean field spherical model with random couplings between pairs, quartets, and possibly higher multiplets of spins is considered. It has the same critical behavior as the Sherrington-Kirkpatrick model. It thus exhibits replica symmetry breaking. The order parameter function is solved exactly in the whole low temperatu...
1994-08-19
2009-10-22
[ "cond-mat" ]
Th. M. Nieuwenhuizen
cond-mat/9408063
Ballistic transport: A view from the quantum theory of motion
Ballistic transport of electrons through a quantum wire with a constriction is studied in terms of Bohm's interpretation of quantum mechanics, in which the concept of a particle orbit is permitted. The classical bouncing ball trajectories, which justify the name ``ballistic transport'', are established in the large wav...
1994-08-19
2015-06-25
[ "cond-mat" ]
Hua Wu and D. W. L. Sprung (Department of Physics and Astronomy, McMaster University Hamilton, Ontario, Canada)
cond-mat/9408053
Spin Softening in Models with Competing Interactions: A New High Anisotropy Expansion to All Orders
An expansion in inverse spin anisotropy, which enables us to study the behaviour of discrete spin models as the spins soften, is developed. In particular we focus on models, such as the chiral clock model and the $p$-state clock model with competing first and second neighbour interactions, where there are special multi...
1994-08-19
2009-10-22
[ "cond-mat" ]
F. Seno and J.M. Yeomans
cond-mat/9408055
Quantum description of spherical spins
The spherical model for spins describes ferromagnetic phase transitions well, but it fails at low temperatures. A quantum version of the spherical model is proposed. It does not induce qualitative changes near the phase transition. However, it produces a physical low temperature behavior. The entropy is non-negative. M...
1994-08-19
2009-10-22
[ "cond-mat" ]
Th. M. Nieuwenhuizen
cond-mat/9408054
Quasi-classical path integral approach to supersymmetric quantum mechanics
{}From Feynman's path integral, we derive quasi-classical quantization rules in supersymmetric quantum mechanics (SUSY-QM). First, we derive a SUSY counterpart of Gutzwiller's formula, from which we obtain the quantization rule of Comtet, Bandrauk and Campbell when SUSY is good. When SUSY is broken, we arrive at a new ...
1994-08-19
2009-10-22
[ "cond-mat", "chem-ph", "hep-th" ]
Akira Inomata and Georg Junker
cond-mat/9408061
Conductivity of interacting spinless fermion systems via the high dimensional approach
Spinless fermions with repulsion are treated non-perturbatively by classifying the diagrams of the generating functional $\Phi$ in powers of the inverse lattice dimension $1/d$. The equations derived from the first two orders are evaluated on the one- and on the two-particle level. The order parameter of the AB-charge ...
1994-08-19
2009-10-22
[ "cond-mat" ]
G.S. Uhrig
cond-mat/9408062
A Plane of Weakly Coupled Heisenberg Chains: Theoretical Arguments and Numerical Calculations
The $S=1/2$, nearest-neighbor, quantum Heisenberg antiferromagnet on the square lattice with spatially anisotropic couplings is reconsidered, with particular attention to the following question: at T=0, does N\'eel orderdevelop at infinitesimal interchain coupling, or is there a nonzero critical coupling? A heuristic r...
1994-08-19
2011-01-06
[ "cond-mat" ]
Ian Affleck, Martin P. Gelfand, and Rajiv R. P. Singh