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Long Range Order at Low Temperature in Dipolar Spin Ice: Recently it has been suggested that long range magnetic dipolar interactions
are responsible for spin ice behavior in the Ising pyrochlore magnets ${\rm
Dy_{2}Ti_{2}O_{7}}$ and ${\rm Ho_{2}Ti_{2}O_{7}}$. We report here numerical
results on the low temperature pro... | cond-mat_dis-nn |
Storage properties of a quantum perceptron: Driven by growing computational power and algorithmic developments, machine
learning methods have become valuable tools for analyzing vast amounts of data.
Simultaneously, the fast technological progress of quantum information
processing suggests employing quantum hardware fo... | cond-mat_dis-nn |
Viscosity and relaxation processes of the liquid become amorphous
Al-Ni-REM alloys: The temperature and time dependencies of viscosity of the liquid alloys,
Al87Ni8Y5, Al86Ni8La6, Al86Ni8Ce6, and the binary Al-Ni and Al-Y melts with Al
concentration over 90 at.% have been studied. Non-monotonic relaxation
processes c... | cond-mat_dis-nn |
Random Networks of Spiking Neurons: Instability in the Xenopus tadpole
moto-neural pattern: A large network of integrate-and-fire neurons is studied analytically when
the synaptic weights are independently randomly distributed according to a
Gaussian distribution with arbitrary mean and variance. The relevant order
p... | cond-mat_dis-nn |
The Hidden Landscape of Localization: Wave localization occurs in all types of vibrating systems, in acoustics,
mechanics, optics, or quantum physics. It arises either in systems of irregular
geometry (weak localization) or in disordered systems (Anderson localization).
We present here a general theory that explains ho... | cond-mat_dis-nn |
Multifractality and self-averaging at the many-body localization
transition: Finite-size effects have been a major and justifiable source of concern for
studies of many-body localization, and several works have been dedicated to the
subject. In this paper, however, we discuss yet another crucial problem that
has rece... | cond-mat_dis-nn |
Asymptotically exact theory for nonlinear spectroscopy of random quantum
magnets: We study nonlinear response in quantum spin systems {near infinite-randomness
critical points}. Nonlinear dynamical probes, such as two-dimensional (2D)
coherent spectroscopy, can diagnose the nearly localized character of
excitations i... | cond-mat_dis-nn |
Of symmetries, symmetry classes, and symmetric spaces: from disorder and
quantum chaos to topological insulators: Quantum mechanical systems with some degree of complexity due to multiple
scattering behave as if their Hamiltonians were random matrices. Such behavior,
while originally surmised for the interacting many... | cond-mat_dis-nn |
Minimal contagious sets in random regular graphs: The bootstrap percolation (or threshold model) is a dynamic process modelling
the propagation of an epidemic on a graph, where inactive vertices become
active if their number of active neighbours reach some threshold. We study an
optimization problem related to it, name... | cond-mat_dis-nn |
Acoustic Cloak Design via Machine Learning: Acoustic metamaterials are engineered microstructures with special mechanical
and acoustic properties enabling exotic effects such as wave steering, focusing
and cloaking. The design of acoustic cloaks using scattering cancellation has
traditionally involved the optimization ... | cond-mat_dis-nn |
Tunneling probe of fluctuating superconductivity in disordered thin
films: Disordered thin films close to the superconducting-insulating phase
transition (SIT) hold the key to understanding quantum phase transition in
strongly correlated materials. The SIT is governed by superconducting quantum
fluctuations, which ca... | cond-mat_dis-nn |
Finite-size scaling analysis of localization transition for scalar waves
in a 3D ensemble of resonant point scatterers: We use the random Green's matrix model to study the scaling properties of the
localization transition for scalar waves in a three-dimensional (3D) ensemble
of resonant point scatterers. We show that... | cond-mat_dis-nn |
Mixed spectra and partially extended states in a two-dimensional
quasiperiodic model: We introduce a two-dimensional generalisation of the quasiperiodic
Aubry-Andr\'e model. Even though this model exhibits the same duality relation
as the one-dimensional version, its localisation properties are found to be
substantia... | cond-mat_dis-nn |
How many longest increasing subsequences are there?: We study the entropy $S$ of longest increasing subsequences (LIS), i.e., the
logarithm of the number of distinct LIS. We consider two ensembles of
sequences, namely random permutations of integers and sequences drawn i.i.d.\
from a limited number of distinct integers... | cond-mat_dis-nn |
Anisotropic spin relaxation in $n$-GaAs from strong inhomogeneous
hyperfine fields produced by the dynamical polarization of nuclei: The hyperfine field from dynamically polarized nuclei in n-GaAs is very
spatially inhomogeneous, as the nu- clear polarization process is most
efficient near the randomly-distributed do... | cond-mat_dis-nn |
Classical Quantum Optimization with Neural Network Quantum States: The classical simulation of quantum systems typically requires exponential
resources. Recently, the introduction of a machine learning-based wavefunction
ansatz has led to the ability to solve the quantum many-body problem in regimes
that had previously... | cond-mat_dis-nn |
Absence of diffusion in certain random lattices: Numerical evidence: We demonstrate, by solving numerically the time-dependent Schroedinger
equation, the physical character of electron localization in a disordered
two-dimensional lattice. We show, in agreement with the prediction of P. W.
Anderson, that the disorder pr... | cond-mat_dis-nn |
Return probability: Exponential versus Gaussian decay: We analyze, both analytically and numerically, the time-dependence of the
return probability in closed systems of interacting particles. Main attention
is paid to the interplay between two regimes, one of which is characterized by
the Gaussian decay of the return p... | cond-mat_dis-nn |
One+Infinite Dimensional Attractor Neural Networks: We solve a class of attractor neural network models with a mixture of 1D
nearest-neighbour and infinite-range interactions, which are of a Hebbian-type
form. Our solution is based on a combination of mean-field methods, transfer
matrices and 1D random-field techniques... | cond-mat_dis-nn |
Virtual Node Graph Neural Network for Full Phonon Prediction: The structure-property relationship plays a central role in materials
science. Understanding the structure-property relationship in solid-state
materials is crucial for structure design with optimized properties. The past
few years witnessed remarkable progr... | cond-mat_dis-nn |
Synchrony and variability induced by spatially correlated additive and
multiplicative noise in the coupled Langevin model: The synchrony and variability have been discussed of the coupled Langevin
model subjected to spatially correlated additive and multiplicative noise. We
have employed numerical simulations and the... | cond-mat_dis-nn |
Can the dynamics of an atomic glass-forming system be described as a
continuous time random walk?: We show that the dynamics of supercooled liquids, analyzed from computer
simulations of the binary mixture Lennard-Jones system, can be described in
terms of a continuous time random walk (CTRW). The required discretiza... | cond-mat_dis-nn |
Replacing neural networks by optimal analytical predictors for the
detection of phase transitions: Identifying phase transitions and classifying phases of matter is central to
understanding the properties and behavior of a broad range of material systems.
In recent years, machine-learning (ML) techniques have been su... | cond-mat_dis-nn |
Interaction corrections to the Hall coefficient at intermediate
temperatures: We investigate the effect of electron-electron interaction on the temperature
dependence of the Hall coefficient of 2D electron gas at arbitrary relation
between the temperature $T$ and the elastic mean-free time $\tau$. At small
temperatur... | cond-mat_dis-nn |
Energy relaxation rate of 2D hole gas in GaAs/InGaAs/GaAs quantum well
within wide range of conductivitiy: The nonohmic conductivity of 2D hole gas (2DHG) in single
$GaAsIn_{0.2}Ga_{0.8}AsGaAs$ quantum well structures within the temperature
range of 1.4 - 4.2K, the carrier's densities $p=(1.5-8)\cdot10^{15}m^{-2}$ an... | cond-mat_dis-nn |
The metal-insulator transition in amorphous Si_{1-x}Ni_x: Evidence for
Mott's minimum metallic conductivity: We study the metal-insulator transition in two sets of amorphous Si_{1-x}Ni_x
films. The sets were prepared by different, electron-beam-evaporation-based
technologies: evaporation of the alloy, and gradient de... | cond-mat_dis-nn |
A Neural Networks study of the phase transitions of Potts model: Using the techniques of Neural Networks (NN), we study the three-dimensional
(3D) 5-state ferromagnetic Potts model on the cubic lattice as well as the
two-dimensional (2D) 3-state antiferromagnetic Potts model on the square
lattice. Unlike the convention... | cond-mat_dis-nn |
Excited-Eigenstate Entanglement Properties of XX Spin Chains with Random
Long-Range Interactions: Quantum information theoretical measures are useful tools for characterizing
quantum dynamical phases. However, employing them to study excited states of
random spin systems is a challenging problem. Here, we report resu... | cond-mat_dis-nn |
Consistency capacity of reservoir computers: We study the propagation and distribution of information-carrying signals
injected in dynamical systems serving as a reservoir computers. A multivariate
correlation analysis in tailored replica tests reveals consistency spectra and
capacities of a reservoir. These measures p... | cond-mat_dis-nn |
Fano Resonances in Flat Band Networks: Linear wave equations on Hamiltonian lattices with translational invariance
are characterized by an eigenvalue band structure in reciprocal space. Flat
band lattices have at least one of the bands completely dispersionless. Such
bands are coined flat bands. Flat bands occur in fin... | cond-mat_dis-nn |
Identification of phases in scale-free networks: There is a pressing need for a description of complex systems that includes
considerations of the underlying network of interactions, for a diverse range
of biological, technological and other networks. In this work relationships
between second-order phase transitions an... | cond-mat_dis-nn |
The spike-timing-dependent learning rule to encode spatiotemporal
patterns in a network of spiking neurons: We study associative memory neural networks based on the Hodgkin-Huxley type
of spiking neurons. We introduce the spike-timing-dependent learning rule, in
which the time window with the negative part as well as... | cond-mat_dis-nn |
On quantum and relativistic mechanical analogues in mean field spin
models: Conceptual analogies among statistical mechanics and classical (or quantum)
mechanics often appeared in the literature. For classical two-body mean field
models, an analogy develops into a proper identification between the free
energy of Curi... | cond-mat_dis-nn |
Kinetic growth walks on complex networks: Kinetically grown self-avoiding walks on various types of generalized random
networks have been studied. Networks with short- and long-tailed degree
distributions $P(k)$ were considered ($k$, degree or connectivity), including
scale-free networks with $P(k) \sim k^{-\gamma}$. T... | cond-mat_dis-nn |
Fermionic many-body localization for random and quasiperiodic systems in
the presence of short- and long-range interactions: We study many-body localization (MBL) for interacting one-dimensional lattice
fermions in random (Anderson) and quasiperiodic (Aubry-Andre) models, focusing
on the role of interaction range. We... | cond-mat_dis-nn |
An associative memory of Hodgkin-Huxley neuron networks with
Willshaw-type synaptic couplings: An associative memory has been discussed of neural networks consisting of
spiking N (=100) Hodgkin-Huxley (HH) neurons with time-delayed couplings, which
memorize P patterns in their synaptic weights. In addition to excitat... | cond-mat_dis-nn |
Valley Hall effect in disordered monolayer MoS2 from first principles: Electrons in certain two-dimensional crystals possess a pseudospin degree of
freedom associated with the existence of two inequivalent valleys in the
Brillouin zone. If, as in monolayer MoS2, inversion symmetry is broken and
time-reversal symmetry i... | cond-mat_dis-nn |
Numerical Study of a Many-Body Localized System Coupled to a Bath: We use exact diagonalization to study the breakdown of many-body localization
in a strongly disordered and interacting system coupled to a thermalizing
environment. We show that the many-body level statistics cross over from
Poisson to GOE, and the loca... | cond-mat_dis-nn |
Energy barriers in spin glasses: For an Ising spin glass on a hierarchical lattice, we show that the energy
barrier to be overcome during the flip of a domain of size L scales as L to the
power d-1 for all dimensions d. We do this by investigating appropriate lower
bounds to the barrier energy, which can be evaluated u... | cond-mat_dis-nn |
Fractal fluctuations at mixed-order transitions in interdependent
networks: We study the geometrical features of the order parameter's fluctuations near
the critical point of mixed-order phase transitions in randomly interdependent
spatial networks. In contrast to continuous transitions, where the structure of
the or... | cond-mat_dis-nn |
The disordered-free-moment phase: a low-field disordered state in
spin-gap antiferromagnets with site dilution: Site dilution of spin-gapped antiferromagnets leads to localized free
moments, which can order antiferromagnetically in two and higher dimensions.
Here we show how a weak magnetic field drives this order-by... | cond-mat_dis-nn |
Application of semidefinite programming to maximize the spectral gap
produced by node removal: The smallest positive eigenvalue of the Laplacian of a network is called the
spectral gap and characterizes various dynamics on networks. We propose
mathematical programming methods to maximize the spectral gap of a given
n... | cond-mat_dis-nn |
Kinetic Theory Approach to the SK Spin Glass Model with Glauber Dynamics: I present a new method to analyze Glauber dynamics of the
Sherrington-Kirkpatrick (SK) spin glass model. The method is based on ideas
used in the classical kinetic theory of fluids. I apply it to study spin
correlations in the high temperature ph... | cond-mat_dis-nn |
Quantum simulation of long range $XY$ quantum spin glass with strong
area-law violation using trapped ions: Ground states of local Hamiltonians are known to obey the entanglement
entropy area law. While area law violation of a mild kind (logarithmic) is
commonly encountered, strong area-law violation (more than logar... | cond-mat_dis-nn |
Slow dynamics and stress relaxation in a liquid as an elastic medium: We propose a new framework to discuss the transition from exponential
relaxation in a liquid to the regime of slow dynamics. For the purposes of
stress relaxation, we show that a liquid can be treated as an elastic medium.
We discuss that, on lowerin... | cond-mat_dis-nn |
Low-temperature kinetics of exciton-exciton annihilation of weakly
localized one-dimensional Frenkel excitons: We present results of numerical simulations of the kinetics of
exciton-exciton annihilation of weakly localized one-dimensional Frenkel
excitons at low temperatures. We find that the kinetics is represented ... | cond-mat_dis-nn |
Degree Distribution of Competition-Induced Preferential Attachment
Graphs: We introduce a family of one-dimensional geometric growth models, constructed
iteratively by locally optimizing the tradeoffs between two competing metrics,
and show that this family is equivalent to a family of preferential attachment
random ... | cond-mat_dis-nn |
A generation-based particle-hole density-matrix renormalization group
study of interacting quantum dots: The particle-hole version of the density-matrix renormalization-group method
(PH-DMRG) is utilized to calculate the ground-state energy of an interacting
two-dimensional quantum dot. We show that a modification of... | cond-mat_dis-nn |
Full replica symmetry breaking in generalized mean--field spin glasses
with reflection symmetry: The analysis of the solution with full replica symmetry breaking in the
vicinity of $T_c$ of a general spin glass model with reflection symmetry is
performed. The leading term in the order parameter function expansion is
... | cond-mat_dis-nn |
Instantaneous normal modes in liquids: a heterogeneous-elastic-medium
approach: The concept of vibrational density of states in glasses has been mirrored in
liquids by the instantaneous-normal-mode spectrum. While in glasses
instantaneous configurations correspond to minima of the potential-energy
hypersurface and al... | cond-mat_dis-nn |
Condensation phenomena with distinguishable particles: We study real-space condensation phenomena in a type of classical stochastic
processes (site-particle system), such as zero-range processes and urn models.
We here study a stochastic process in the Ehrenfest class, i.e., particles in a
site are distinguishable. In ... | cond-mat_dis-nn |
Symmetry breaking between statistically equivalent, independent channels
in a few-channel chaotic scattering: We study the distribution function $P(\omega)$ of the random variable $\omega
= \tau_1/(\tau_1 + ... + \tau_N)$, where $\tau_k$'s are the partial Wigner
delay times for chaotic scattering in a disordered syst... | cond-mat_dis-nn |
Magnetic and Thermodynamic Properties of the Collective Paramagnet-Spin
Liquid Pyrochlore Tb2Ti2O7: In a recent letter [Phys. Rev. Lett. {\bf 82}, 1012 (1999)] it was found that
the Tb$^{3+}$ magnetic moments in the Tb$_2$Ti$_2$O$_7$ pyrochlore lattice of
corner-sharing tetrahedra remain in a {\it collective paramagn... | cond-mat_dis-nn |
Response to a local quench of a system near many body localization
transition: We consider a one dimensional spin $1/2$ chain with Heisenberg interaction in
a disordered parallel magnetic field. This system is known to exhibit the many
body localization (MBL) transition at critical strength of disorder. We analyze
th... | cond-mat_dis-nn |
Approximate ground states of the random-field Potts model from graph
cuts: While the ground-state problem for the random-field Ising model is
polynomial, and can be solved using a number of well-known algorithms for
maximum flow or graph cut, the analogue random-field Potts model corresponds to
a multi-terminal flow ... | cond-mat_dis-nn |
$T \to 0$ mean-field population dynamics approach for the random
3-satisfiability problem: During the past decade, phase-transition phenomena in the random
3-satisfiability (3-SAT) problem has been intensively studied by statistical
physics methods. In this work, we study the random 3-SAT problem by the
mean-field fi... | cond-mat_dis-nn |
Self-Consistent Quantum-Field Theory for the Characterization of Complex
Random Media by Short Laser Pulses: We present a quantum field theoretical method for the characterization of
disordered complex media with short laser pulses in an optical coherence
tomography setup (OCT). We solve this scheme of coherent trans... | cond-mat_dis-nn |
Effects of the network structural properties on its controllability: In a recent paper, it has been suggested that the controllability of a
diffusively coupled complex network, subject to localized feedback loops at
some of its vertices, can be assessed by means of a Master Stability Function
approach, where the networ... | cond-mat_dis-nn |
Basis Glass States: New Insights from the Potential Energy Landscape: Using the potential energy landscape formalism we show that, in the
temperature range in which the dynamics of a glass forming system is thermally
activated, there exists a unique set of "basis glass states" each of which is
confined to a single meta... | cond-mat_dis-nn |
Ground-state energy distribution of disordered many-body quantum systems: Extreme-value distributions are studied in the context of a broad range of
problems, from the equilibrium properties of low-temperature disordered systems
to the occurrence of natural disasters. Our focus here is on the ground-state
energy distri... | cond-mat_dis-nn |
Metabolism of Social System: Random Boolean Network has been used to find out regulation patterns of genes
in organism. his approach is very interesting to use in a game such as N Person
PD. Here we assume that action is influenced by input in the form of choices of
cooperate or defect he accepted from other agent or g... | cond-mat_dis-nn |
The Quantum Spherical p-Spin-Glass Model: We study a quantum extension of the spherical $p$-spin-glass model using the
imaginary-time replica formalism. We solve the model numerically and we discuss
two analytical approximation schemes that capture most of the features of the
solution. The phase diagram and the physica... | cond-mat_dis-nn |
Adaptive Thouless--Anderson--Palmer equation for higher-order Markov
random fields: The adaptive Thouless--Anderson--Palmer (TAP) mean-field approximation is one
of the advanced mean-field approaches, and it is known as a powerful accurate
method for Markov random fields (MRFs) with quadratic interactions (pairwise
M... | cond-mat_dis-nn |
Classical versus Quantum Structure of the Scattering Probability Matrix.
Chaotic wave-guides: The purely classical counterpart of the Scattering Probability Matrix (SPM)
$\mid S_{n,m}\mid^2$ of the quantum scattering matrix $S$ is defined for 2D
quantum waveguides for an arbitrary number of propagating modes $M$. We ... | cond-mat_dis-nn |
Quantum Statistical Physics of Glasses at Low Temperatures: We present a quantum statistical analysis of a microscopic mean-field model
of structural glasses at low temperatures. The model can be thought of as
arising from a random Born von Karman expansion of the full interaction
potential. The problem is reduced to a... | cond-mat_dis-nn |
Synchronization of phase oscillators on the hierarchical lattice: Synchronization of neurons forming a network with a hierarchical structure is
essential for the brain to be able to function optimally. In this paper we
study synchronization of phase oscillators on the most basic example of such a
network, namely, the h... | cond-mat_dis-nn |
An Anomalously Elastic, Intermediate Phase in Randomly Layered
Superfluids, Superconductors, and Planar Magnets: We show that layered quenched randomness in planar magnets leads to an
unusual intermediate phase between the conventional ferromagnetic
low-temperature and paramagnetic high-temperature phases. In this in... | cond-mat_dis-nn |
Jamming in Hierarchical Networks: We study the Biroli-Mezard model for lattice glasses on a number of
hierarchical networks. These networks combine certain lattice-like features
with a recursive structure that makes them suitable for exact renormalization
group studies and provide an alternative to the mean-field appro... | cond-mat_dis-nn |
How to calculate the fractal dimension of a complex network: the box
covering algorithm: Covering a network with the minimum possible number of boxes can reveal
interesting features for the network structure, especially in terms of
self-similar or fractal characteristics. Considerable attention has been
recently devo... | cond-mat_dis-nn |
Local fluctuation dissipation relation: In this letter I show that the recently proposed local version of the
fluctuation dissipation relations follows from the general principle of
stochastic stability in a way that is very similar to the usual proof of the
fluctuation dissipation theorem for intensive quantities. Sim... | cond-mat_dis-nn |
Quantum thermostatted disordered systems and sensitivity under
compression: A one-dimensional quantum system with off diagonal disorder, consisting of a
sample of conducting regions randomly interspersed within potential barriers is
considered. Results mainly concerning the large $N$ limit are presented. In
particula... | cond-mat_dis-nn |
Denser glasses relax faster: a competition between rejuvenation and
aging during in-situ high pressure compression at the atomic scale: A fascinating feature of metallic glasses is their ability to explore
different configurations under mechanical deformations. This effect is usually
observed through macroscopic obse... | cond-mat_dis-nn |
Dynamical studies of the response function in a Spin Glass: Experiments on the time dependence of the response function of a Ag(11 at%Mn)
spin glass at a temperature below the zero field spin glass temperature are
used to explore the non-equilibrium nature of the spin glass phase. It is found
that the response function... | cond-mat_dis-nn |
Suppression of the virtual Anderson transition in a narrow impurity band
of doped quantum well structures: Earlier we reported an observation at low temperatures of activation
conductivity with small activation energies in strongly doped uncompensated
layers of p-GaAs/AlGaAs quantum wells. We attributed it to Anderso... | cond-mat_dis-nn |
Duality, Quantum Skyrmions and the Stability of an SO(3) Two-Dimensional
Quantum Spin-Glass: Quantum topological excitations (skyrmions) are analyzed from the point of
view of their duality to spin excitations in the different phases of a
disordered two-dimensional, short-range interacting, SO(3) quantum magnetic
sys... | cond-mat_dis-nn |
Destruction of first-order phase transition in a random-field Ising
model: The phase transitions that occur in an infinite-range-interaction Ising
ferromagnet in the presence of a double-Gaussian random magnetic field are
analyzed. Such random fields are defined as a superposition of two Gaussian
distributions, prese... | cond-mat_dis-nn |
The birth of geometry in exponential random graphs: Inspired by the prospect of having discretized spaces emerge from random
graphs, we construct a collection of simple and explicit exponential random
graph models that enjoy, in an appropriate parameter regime, a roughly constant
vertex degree and form very large numbe... | cond-mat_dis-nn |
Percolation in Media with Columnar Disorder: We study a generalization of site percolation on a simple cubic lattice,
where not only single sites are removed randomly, but also entire parallel
columns of sites. We show that typical clusters near the percolation transition
are very anisotropic, with different scaling ex... | cond-mat_dis-nn |
Thermodynamic properties of extremely diluted symmetric Q-Ising neural
networks: Using the replica-symmetric mean-field theory approach the thermodynamic and
retrieval properties of extremely diluted {\it symmetric} $Q$-Ising neural
networks are studied. In particular, capacity-gain parameter and
capacity-temperature... | cond-mat_dis-nn |
Logarithmic Entanglement Lightcone in Many-Body Localized Systems: We theoretically study the response of a many-body localized system to a
local quench from a quantum information perspective. We find that the local
quench triggers entanglement growth throughout the whole system, giving rise to
a logarithmic lightcone.... | cond-mat_dis-nn |
Local level statistics for optical and transport properties of
disordered systems at finite temperature: It is argued that the (traditional) global level statistics which determines
localization and coherent transport properties of disordered systems at zero
temperature (e.g. the Anderson model) becomes inappropriate... | cond-mat_dis-nn |
Microscopic picture of aging in SiO2: We investigate the aging dynamics of amorphous SiO2 via molecular dynamics
simulations of a quench from a high temperature T_i to a lower temperature T_f.
We obtain a microscopic picture of aging dynamics by analyzing single particle
trajectories, identifying jump events when a par... | cond-mat_dis-nn |
$T \to 0$ mean-field population dynamics approach for the random
3-satisfiability problem: During the past decade, phase-transition phenomena in the random
3-satisfiability (3-SAT) problem has been intensively studied by statistical
physics methods. In this work, we study the random 3-SAT problem by the
mean-field fi... | cond-mat_dis-nn |
Euclidean random matrix theory: low-frequency non-analyticities and
Rayleigh scattering: By calculating all terms of the high-density expansion of the euclidean
random matrix theory (up to second-order in the inverse density) for the
vibrational spectrum of a topologically disordered system we show that the
low-frequ... | cond-mat_dis-nn |
From complex to simple : hierarchical free-energy landscape renormalized
in deep neural networks: We develop a statistical mechanical approach based on the replica method to
study the design space of deep and wide neural networks constrained to meet a
large number of training data. Specifically, we analyze the config... | cond-mat_dis-nn |
Critical and resonance phenomena in neural networks: Brain rhythms contribute to every aspect of brain function. Here, we study
critical and resonance phenomena that precede the emergence of brain rhythms.
Using an analytical approach and simulations of a cortical circuit model of
neural networks with stochastic neuron... | cond-mat_dis-nn |
Q-Ising neural network dynamics: a comparative review of various
architectures: This contribution reviews the parallel dynamics of Q-Ising neural networks
for various architectures: extremely diluted asymmetric, layered feedforward,
extremely diluted symmetric, and fully connected. Using a probabilistic
signal-to-noi... | cond-mat_dis-nn |
Spin glasses in the limit of an infinite number of spin components: We consider the spin glass model in which the number of spin components, m,
is infinite. In the formulation of the problem appropriate for numerical
calculations proposed by several authors, we show that the order parameter
defined by the long-distance... | cond-mat_dis-nn |
Scaling of level statistics at the metal-insulator transition: Using the Anderson model for disordered systems the fluctuations in electron
spectra near the metal--insulator transition were numerically calculated for
lattices of sizes up to 28 x 28 x 28 sites. The results show a finite--size
scaling of both the level s... | cond-mat_dis-nn |
Fluctuation-Induced Forces in Disordered Landau-Ginzburg Model: We discuss fluctuation-induced forces in a system described by a continuous
Landau-Ginzburg model with a quenched disorder field, defined in a
$d$-dimensional slab geometry $\mathbb R^{d-1}\times[0,L]$. A series
representation for the quenched free energy ... | cond-mat_dis-nn |
Coupling-Matrix Approach to the Chern Number Calculation in Disordered
Systems: The Chern number is often used to distinguish between different topological
phases of matter in two-dimensional electron systems. A fast and efficient
coupling-matrix method is designed to calculate the Chern number in finite
crystalline ... | cond-mat_dis-nn |
Quantum Hall transitions: An exact theory based on conformal restriction: We revisit the problem of the plateau transition in the integer quantum Hall
effect. Here we develop an analytical approach for this transition, based on
the theory of conformal restriction. This is a mathematical theory that was
recently develop... | cond-mat_dis-nn |
Thermodynamics of spin systems on small-world hypergraphs: We study the thermodynamic properties of spin systems on small-world
hypergraphs, obtained by superimposing sparse Poisson random graphs with p-spin
interactions onto a one-dimensional Ising chain with nearest-neighbor
interactions. We use replica-symmetric tra... | cond-mat_dis-nn |
Excited-Eigenstate Entanglement Properties of XX Spin Chains with Random
Long-Range Interactions: Quantum information theoretical measures are useful tools for characterizing
quantum dynamical phases. However, employing them to study excited states of
random spin systems is a challenging problem. Here, we report resu... | cond-mat_dis-nn |
Evidence for universal scaling in the spin-glass phase: We perform Monte Carlo simulations of Ising spin-glass models in three and
four dimensions, as well as of Migdal-Kadanoff spin glasses on a hierarchical
lattice. Our results show strong evidence for universal scaling in the
spin-glass phase in all three models. No... | cond-mat_dis-nn |
Universality and Quantum Criticality in Quasiperiodic Spin Chains: Quasiperiodic systems are aperiodic but deterministic, so their critical
behavior differs from that of clean systems as well as disordered ones.
Quasiperiodic criticality was previously understood only in the special limit
where the couplings follow dis... | cond-mat_dis-nn |
The two-star model: exact solution in the sparse regime and condensation
transition: The $2$-star model is the simplest exponential random graph model that
displays complex behavior, such as degeneracy and phase transition. Despite its
importance, this model has been solved only in the regime of dense
connectivity. I... | cond-mat_dis-nn |
Strong magnetoresistance of disordered graphene: We study theoretically magnetoresistance (MR) of graphene with different
types of disorder. For short-range disorder, the key parameter determining
magnetotransport properties---a product of the cyclotron frequency and
scattering time---depends in graphene not only on ma... | cond-mat_dis-nn |
Crackling Noise and Avalanches: Scaling, Critical Phenomena, and the
Renormalization Group: In the past two decades or so, we have learned how to understand crackling
noise in a wide variety of systems. We review here the basic ideas and methods
we use to understand crackling noise - critical phenomena, universality,... | cond-mat_dis-nn |
Monte Carlo studies of quantum and classical annealing on a double-well: We present results for a variety of Monte Carlo annealing approaches, both
classical and quantum, benchmarked against one another for the textbook
optimization exercise of a simple one-dimensional double-well. In classical
(thermal) annealing, the... | cond-mat_dis-nn |
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