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Complex topological features of reservoirs shape learning performances in bio-inspired recurrent neural networks: Recurrent networks are a special class of artificial neural systems that use their internal states to perform computing tasks for machine learning. One of its state-of-the-art developments, i.e. reservoir...
cond-mat_dis-nn
Universal Transport Dynamics of Complex Fluids: Thermal motion in complex fluids is a complicated stochastic process but ubiquitously exhibits initial ballistic, intermediate sub-diffusive, and long-time non-Gaussian diffusive motion, unless interrupted. Despite its relevance to numerous dynamical processes of interest...
cond-mat_dis-nn
Unlearning regularization for Boltzmann Machines: Boltzmann Machines (BMs) are graphical models with interconnected binary units, employed for the unsupervised modeling of data distributions. When trained on real data, BMs show the tendency to behave like critical systems, displaying a high susceptibility of the model ...
cond-mat_dis-nn
Simplified dynamics for glass model: In spin glass models one can remove minimization of free energy by some order parameter. One can consider hierarchy of order parameters. It is possible to divide energy among these parts. We can consider relaxation process in glass system phenomonologically, as exchange of energy be...
cond-mat_dis-nn
Anchored advected interfaces, Oslo model, and roughness at depinning: There is a plethora of 1-dimensional advected systems with an absorbing boundary: the Toom model of anchored interfaces, the directed exclusion process where in addition to diffusion particles and holes can jump over their right neighbor, simple diff...
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Effect of Nuclear Quadrupole Interaction on the Relaxation in Amorphous Solids: Recently it has been experimentally demonstrated that certain glasses display an unexpected magnetic field dependence of the dielectric constant. In particular, the echo technique experiments have shown that the echo amplitude depends on ...
cond-mat_dis-nn
Understanding spin glass transition as a dynamic phenomenon: Existing theories explain spin glass transition in terms of a phase transition and order parameters, and assume the existence of a distinct spin glass phase. In addition to problems related to clarifying the nature of this phase, the common challenge is to ex...
cond-mat_dis-nn
Effective transport properties of conformal Voronoi-bounded columns via recurrent boundary element expansions: Effective transport properties of heterogeneous structures are predicted by geometric microstructural parameters, but these can be difficult to calculate. Here, a boundary element code with a recurrent serie...
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Electrodynamics of a Coulomb Glass in n-type Silicon: Optical measurements of the real and imaginary frequency dependent conductivity of uncompensated n-type silicon are reported. The experiments are done in the quantum limit, $ \hbar\omega > k_{B}T$, across a broad doping range on the insulating side of the Metal-Insu...
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Electromagnetic Waves Through Disordered Systems: Comparison Of Intensity, Transmission And Conductance: We obtain the statistics of the intensity, transmission and conductance for scalar electromagnetic waves propagating through a disordered collection of scatterers. Our results show that the probability distributio...
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Correlated Persistent Tunneling Currents in Glasses: Low temperature properties of glasses are derived within a generalized tunneling model, considering the motion of charged particles on a closed path in a double-well potential. The presence of a magnetic induction field B violates the time reversal invariance due to ...
cond-mat_dis-nn
Continuum Percolation on Disoriented Surfaces: the Problem of Permeable Disks on a Klein Bottle: The percolation threshold and wrapping probability $R_{\infty}$ for the two-dimensional problem of continuum percolation on the surface of a Klein bottle have been calculated by the Monte Carlo method with the Newman--Zif...
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Phase boundary near a magnetic percolation transition: Motivated by recent experimental observations [Phys. Rev. 96, 020407 (2017)] on hexagonal ferrites, we revisit the phase diagrams of diluted magnets close to the lattice percolation threshold. We perform large-scale Monte Carlo simulations of XY and Heisenberg mode...
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Design of one-dimensional Lambertian diffusers of light: We describe a method for designing a one-dimensional random surface that acts as a Lambertian diffuser. The method is tested by means of rigorous computer simulations and is shown to yield the desired scattering pattern.
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Evidence for growth of collective excitations in glasses at low temperatures: We present new data on the nonequilibrium acoustic response of glasses to an applied dc electric field below 1K. When compared with the analogous dielectric response of the same material, the acoustic data show, within experimental precisio...
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Quantum fluctuations in the transverse Ising spin glass model: A field theory of random quantum spin systems: We develop a mean-field theory for random quantum spin systems using the spin coherent state path integral representation. After the model is reduced to the mean field one-body Hamiltonian, the integral is an...
cond-mat_dis-nn
On the origin of the $λ$-transition in liquid Sulphur: Developing a novel experimental technique, we applied photon correlation spectroscopy using infrared radiation in liquid Sulphur around $T_\lambda$, i.e. in the temperature range where an abrupt increase in viscosity by four orders of magnitude is observed upon hea...
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Magnetoresistance in semiconductor structures with hopping conductivity: effects of random potential and generalization for the case of acceptor states: We reconsider the theory of magnetoresistance in hopping semiconductors. First, we have shown that the random potential of the background impurities affects signif...
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Quantitative field theory of the glass transition: We develop a full microscopic replica field theory of the dynamical transition in glasses. By studying the soft modes that appear at the dynamical temperature we obtain an effective theory for the critical fluctuations. This analysis leads to several results: we give e...
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A numerical study of the overlap probability distribution and its sample-to-sample fluctuations in a mean-field model: In this paper we study the fluctuations of the probability distributions of the overlap in mean field spin glasses in the presence of a magnetic field on the De Almeida-Thouless line. We find that th...
cond-mat_dis-nn
Spatial correlation functions and dynamical exponents in very large samples of 4D spin glasses: The study of the low temperature phase of spin glass models by means of Monte Carlo simulations is a challenging task, because of the very slow dynamics and the severe finite size effects they show. By exploiting at the be...
cond-mat_dis-nn
Continuum Percolation on Disoriented Surfaces: the Problem of Permeable Disks on a Klein Bottle: The percolation threshold and wrapping probability $R_{\infty}$ for the two-dimensional problem of continuum percolation on the surface of a Klein bottle have been calculated by the Monte Carlo method with the Newman--Zif...
cond-mat_dis-nn
Localization crossover and subdiffusive transport in a classical facilitated network model of a disordered, interacting quantum spin chain: We consider the random-field Heisenberg model, a paradigmatic model for many-body localization (MBL), and add a Markovian dephasing bath coupled to the Anderson orbitals of the m...
cond-mat_dis-nn
Annealed inhomogeneities in random ferromagnets: We consider spin models on complex networks frequently used to model social and technological systems. We study the annealed ferromagnetic Ising model for random networks with either independent edges (Erd\H{o}s-R\'enyi), or with prescribed degree distributions (configur...
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Metal-Insulator-Transition in a Weakly interacting Disordered Electron System: The interplay of interactions and disorder is studied using the Anderson-Hubbard model within the typical medium dynamical cluster approximation. Treating the interacting, non-local cluster self-energy ($\Sigma_c[{\cal \tilde{G}}](i,j\neq ...
cond-mat_dis-nn
Enhancement of the Magnetocaloric Effect in Geometrically Frustrated Cluster Spin Glass Systems: In this work, we theoretically demonstrate that a strong enhancement of the Magnetocaloric Effect is achieved in geometrically frustrated cluster spin-glass systems just above the freezing temperature. We consider a netwo...
cond-mat_dis-nn
Calculation of ground states of four-dimensional +or- J Ising spin glasses: Ground states of four-dimensional (d=4) EA Ising spin glasses are calculated for sizes up to 7x7x7x7 using a combination of a genetic algorithm and cluster-exact approximation. The ground-state energy of the infinite system is extrapolated as...
cond-mat_dis-nn
Adaptive Density-Matrix Renormalization-Group study of the disordered antiferromagnetic spin-1/2 Heisenberg chain: Using the recently introduced adaptive density-matrix renormalization-group method, we study the many spin-spin correlations of the spin-$1/2$ antiferromagnetic Heisenberg chain with random coupling cons...
cond-mat_dis-nn
Effect of selection on ancestry: an exactly soluble case and its phenomenological generalization: We consider a family of models describing the evolution under selection of a population whose dynamics can be related to the propagation of noisy traveling waves. For one particular model, that we shall call the exponent...
cond-mat_dis-nn
Efficient Representation of Quantum Many-body States with Deep Neural Networks: The challenge of quantum many-body problems comes from the difficulty to represent large-scale quantum states, which in general requires an exponentially large number of parameters. Recently, a connection has been made between quantum man...
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Topological phases and Anderson localization in off-diagonal mosaic lattices: We introduce a one-dimensional lattice model whose hopping amplitudes are modulated for equally spaced sites. Such mosaic lattice exhibits many interesting topological and localization phenomena that do not exist in the regular off-diagonal...
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Enhancement of chaotic subdiffusion in disordered ladders with synthetic gauge fields: We study spreading wave packets in a disordered nonlinear ladder with broken time-reversal symmetry induced by synthetic gauge fields. The model describes the dynamics of interacting bosons in a disordered and driven optical ladder...
cond-mat_dis-nn
Avalanches and many-body resonances in many-body localized systems: We numerically study both the avalanche instability and many-body resonances in strongly-disordered spin chains exhibiting many-body localization (MBL). We distinguish between a finite-size/time MBL regime, and the asymptotic MBL phase, and identify so...
cond-mat_dis-nn
A pragmatical access to the viscous flow: The paper derives a relation for the viscosity of undercooled liquids on the basis of the pragmatical model concept of Eshelby relaxations with a finite lifetime. From accurate shear relaxation data in the literature, one finds that slightly less than half of the internal stres...
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Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions: We present results from Monte Carlo simulations of the one-dimensional Ising spin glass with power-law interactions at low temperature, using the parallel tempering Monte Carlo method. For a set of parameters where the long-range...
cond-mat_dis-nn
Fixed points and their stability in the functional renormalization group of random field models: We consider the zero-temperature fixed points controlling the critical behavior of the $d$-dimensional random-field Ising, and more generally $O(N)$, models. We clarify the nature of these fixed points and their stability...
cond-mat_dis-nn
Equilibrium valleys in spin glasses at low temperature: We investigate the 3-dimensional Edwards-Anderson spin glass model at low temperature on simple cubic lattices of sizes up to L=12. Our findings show a strong continuity among T>0 physical features and those found previously at T=0, leading to a scenario with emer...
cond-mat_dis-nn
Density of States near the Anderson Transition in a Four-dimensional Space. Renormalizable Models: Asymptotically exact results are obtained for the average Green function and density of states of a disordered system for a renormalizable class of models (as opposed to the lattice models examined previously [Zh. Eksp....
cond-mat_dis-nn
Zero-Temperature Critical Phenomena in Two-Dimensional Spin Glasses: Recent developments in study of two-dimensional spin glass models are reviewed in light of fractal nature of droplets at zero-temperature. Also presented are some new results including a new estimate of the stiffness exponent using a boundary conditio...
cond-mat_dis-nn
Quasi-long range order in the random anisotropy Heisenberg model: The large distance behaviors of the random field and random anisotropy Heisenberg models are studied with the functional renormalization group in $4-\epsilon$ dimensions. The random anisotropy model is found to have a phase with the infinite correlation ...
cond-mat_dis-nn
Comment on "Evidence of Non-Mean-Field-Like Low-Temperature Behavior in the Edwards-Anderson Spin-Glass Model": A recent interesting paper [Yucesoy et al. Phys. Rev. Lett. 109, 177204 (2012), arXiv:1206:0783] compares the low-temperature phase of the 3D Edwards-Anderson (EA) model to its mean-field counterpart, the S...
cond-mat_dis-nn
Solvable model of a polymer in random media with long ranged disorder correlations: We present an exactly solvable model of a Gaussian (flexible) polymer chain in a quenched random medium. This is the case when the random medium obeys very long range quadratic correlations. The model is solved in $d$ spatial dimensio...
cond-mat_dis-nn
Metal-insulator transition in hydrogenated graphene as manifestation of quasiparticle spectrum rearrangement of anomalous type: We demonstrate that the spectrum rearrangement can be considered as a precursor of the metal-insulator transition observed in graphene dosed with hydrogen atoms. The Anderson-type transition...
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
On the Dynamics of Glassy Systems: Glassy systems are disordered systems characterized by extremely slow dynamics. Examples are supercooled liquids, whose dynamics slow down under cooling. The specific pattern of slowing-down depends on the material considered. This dependence is poorly understood, in particular, it re...
cond-mat_dis-nn
Critical properties of the Anderson localization transition and the high dimensional limit: In this paper we present a thorough study of transport, spectral and wave-function properties at the Anderson localization critical point in spatial dimensions $d = 3$, $4$, $5$, $6$. Our aim is to analyze the dimensional depe...
cond-mat_dis-nn
Linear theory of random textures of 3He-A in aerogel: Spacial variation of the orbital part of the order parameter of $^3$He-A in aerogel is represented as a random walk of the unit vector $\mathbf{l}$ in a field of random anisotropy produced by the strands of aerogel. For a range of distances, where variation of $\mat...
cond-mat_dis-nn
KPZ equation in one dimension and line ensembles: For suitably discretized versions of the Kardar-Parisi-Zhang equation in one space dimension exact scaling functions are available, amongst them the stationary two-point function. We explain one central piece from the technology through which such results are obtained, ...
cond-mat_dis-nn
Structure and Time-Evolution of an Internet Dating Community: We present statistics for the structure and time-evolution of a network constructed from user activity in an Internet community. The vastness and precise time resolution of an Internet community offers unique possibilities to monitor social network formation...
cond-mat_dis-nn
Epidemic spread in weighted networks: We study the detailed epidemic spreading process in scale-free networks with weight that denote familiarity between two people or computers. The result shows that spreading velocity reaches a peak quickly then decays representing power-law time behavior, and comparing to non-weight...
cond-mat_dis-nn
Structural Probe of a Glass Forming Liquid: Generalized Compressibility: We introduce a new quantity to probe the glass transition. This quantity is a linear generalized compressibility which depends solely on the positions of the particles. We have performed a molecular dynamics simulation on a glass forming liquid co...
cond-mat_dis-nn
Validity of the zero-thermodynamic law in off-equilibrium coupled harmonic oscillators: In order to describe the thermodynamics of the glassy systems it has been recently introduced an extra parameter also called effective temperature which generalizes the fluctuation-dissipation theorem (FDT) to systems off-equilibr...
cond-mat_dis-nn
Crystal-like Order Stabilizing Glasses: Structural Origin of Ultra-stable Metallic Glasses: Glasses are featured with a disordered amorphous structure, being opposite to crystals that are constituted by periodic lattices. In this study we report that the exceptional thermodynamic and kinetic stability of an ultra-sta...
cond-mat_dis-nn
Origin of the Growing Length Scale in M-p-Spin Glass Models: Two versions of the M-p-spin glass model have been studied with the Migdal-Kadanoff renormalization group approximation. The model with p=3 and M=3 has at mean-field level the ideal glass transition at the Kauzmann temperature and at lower temperatures still ...
cond-mat_dis-nn
Universality and Deviations in Disordered Systems: We compute the probability of positive large deviations of the free energy per spin in mean-field Spin-Glass models. The probability vanishes in the thermodynamic limit as $P(\Delta f) \propto \exp[-N^2 L_2(\Delta f)]$. For the Sherrington-Kirkpatrick model we find $L_...
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On the Paramagnetic Impurity Concentration of Silicate Glasses from Low-Temperature Physics: The concentration of paramagnetic trace impurities in glasses can be determined via precise SQUID measurements of the sample's magnetization in a magnetic field. However the existence of quasi-ordered structural inhomogeneiti...
cond-mat_dis-nn
Large-scale dynamical simulations of the three-dimensional XY spin glass: Large-scale simulations have been performed in the current-driven three-dimensional XY spin glass with resistively-shunted junction dynamics for sample sizes up to $64^3$. It is observed that the linear resistivity at low temperatures tends to ze...
cond-mat_dis-nn
$1/f^α$ noise and generalized diffusion in random Heisenberg spin systems: We study the `flux noise' spectrum of random-bond quantum Heisenberg spin systems using a real-space renormalization group (RSRG) procedure that accounts for both the renormalization of the system Hamiltonian and of a generic probe that measur...
cond-mat_dis-nn
Percolation of optical excitation mediated by near-field interactions: Optical excitation transfer in nanostructured matter has been intensively studied in various material systems for versatile applications. Herein, we discuss the percolation of optical excitations in randomly organized nanostructures caused by optica...
cond-mat_dis-nn
From particles to spins: Eulerian formulation of supercooled liquids and glasses: The dynamics of supercooled liquid and glassy systems are usually studied within the Lagrangian representation, in which the positions and velocities of distinguishable interacting particles are followed. Within this representation, how...
cond-mat_dis-nn
Electronic properties of the 1D Frenkel-Kontorova model: The energy spectra and quantum diffusion of an electron in a 1D incommensurate Frenkel-Kontorova (FK) model are studied numerically. We found that the spectral and dynamical properties of electron display quite different behaviors in invariance circle regime and ...
cond-mat_dis-nn
Dense Hebbian neural networks: a replica symmetric picture of unsupervised learning: We consider dense, associative neural-networks trained with no supervision and we investigate their computational capabilities analytically, via a statistical-mechanics approach, and numerically, via Monte Carlo simulations. In parti...
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Modal makeup of transmission eigenchannels: Transmission eigenchannels and quasi-normal modes are powerful bases for describing wave transport and controlling transmission and energy storage in disordered media. Here we elucidate the connection between these approaches by expressing the transmission matrix (TM) at a pa...
cond-mat_dis-nn
A Wavelet Analysis of Transient Spike Trains of Hodgkin-Huxley Neurons: Transient spike trains consisting of $M$ (= 1 - 5) pulses generated by single Hodgkin-Huxley (HH) neurons, have been analyzed by using both the continuous and discrete wavelet transformations (WT). We have studied effects of variations in the inter...
cond-mat_dis-nn
Study of longitudinal fluctuations of the Sherrington-Kirkpatrick model: We study finite-size corrections to the free energy of the Sherrington-Kirkpatrick spin glass in the low temperature phase. We investigate the role of longitudinal fluctuations in these corrections, neglecting the transverse contribution. In parti...
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Thermodynamics of the Lévy spin glass: We investigate the L\'evy glass, a mean-field spin glass model with power-law distributed couplings characterized by a divergent second moment. By combining extensively many small couplings with a spare random backbone of strong bonds the model is intermediate between the Sherring...
cond-mat_dis-nn
Bosons in Disordered Optical Potentials: In this work we systematically investigate the condensate properties, superfluid properties and quantum phase transitions in interacting Bose gases trapped in disordered optical potentials. We numerically solve the Bose-Hubbard Hamiltonian exactly for different: (a) types of dis...
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Diffusion of a particle in the Gaussian random energy landscape: Einstein relation and analytical properties of average velocity and diffusivity as functions of driving force: We demonstrate that the Einstein relation for the diffusion of a particle in the random energy landscape with the Gaussian density of states...
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Interaction-Driven Instabilities in the Random-Field XXZ Chain: Despite enormous efforts devoted to the study of the many-body localization (MBL) phenomenon, the nature of the high-energy behavior of the Heisenberg spin chain in a strong random magnetic field is lacking consensus. Here, we take a step back by exploring...
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Statistical properties of localisation--delocalisation transition in one dimension: We study a one-dimensional model of disordered electrons (also relevant for random spin chains), which exhibits a delocalisation transition at half-filling. Exact probability distribution functions for the Wigner time and transmission...
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Finite-size scaling with respect to interaction and disorder strength at the many-body localization transition: We present a finite-size scaling for both interaction and disorder strengths in the critical regime of the many-body localization (MBL) transition for a spin-1/2 XXZ spin chain with a random field by studyi...
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Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors: Disorder in Weyl semimetals and superconductors is surprisingly subtle, attracting attention and competing theories in recent years. In this brief review, we discuss the current theoretical understanding of the effects of ...
cond-mat_dis-nn
One step RSB scheme for the rate distortion function: We apply statistical mechanics to an inverse problem of linear mapping to investigate the physics of the irreversible compression. We use the replica symmetry breaking (RSB) technique with a toy model to demonstrate the Shannon's result. The rate distortion function...
cond-mat_dis-nn
On reducing Terrorism Power: A Hint from Physics: The September 11 attack on the US has revealed an unprecedented terrorism worldwide range of destruction. Recently, it has been related to the percolation of worldwide spread passive supporters. This scheme puts the suppression of the percolation effect as the major str...
cond-mat_dis-nn
Finite-size relaxational dynamics of a spike random matrix spherical model: We present a thorough numerical analysis of the relaxational dynamics of the Sherrington-Kirkpatrick spherical model with an additive non-disordered perturbation for large but finite sizes $N$. In the thermodynamic limit and at low temperatur...
cond-mat_dis-nn
Slow oscillating dynamics of a two-level system subject to a fast telegraph noise: beyond the NIBA approximation: We study the dynamics of a two-site model in which the tunneling amplitude between the sites is not constant but rather a high-frequency noise. Obviously, the population imbalance in this model decays exp...
cond-mat_dis-nn
Correlation-induced localization: A new paradigm of Anderson localization caused by correlations in the long-range hopping along with uncorrelated on-site disorder is considered which requires a more precise formulation of the basic localization-delocalization principles. A new class of random Hamiltonians with transla...
cond-mat_dis-nn
Theory of Non-linear Susceptibility and Correlation Length in Glasses and Liquids: Within the framework of the effective potential theory of the structural glass transition, we calculate for the p-spin model a static nonlinear susceptibility related to a four-point density correlation function, and show that it grows...
cond-mat_dis-nn
Magetoresistance of RuO_2-based resistance thermometers below 0.3 K: We have determined the magnetoresistance of RuO_2-based resistors (Scientific Instruments RO-600) between 0.05 K and 0.3 K in magnetic fields up to 8 T. The magnetoresistance is negative around 0.5 T and then becomes positive at larger fields. The mag...
cond-mat_dis-nn
Dipolar Interactions and Origin of Spin Ice in Ising Pyrochlore Magnets: Recent experiments suggest that the Ising pyrochlore magnets ${\rm Ho_{2}Ti_{2}O_{7}}$ and ${\rm Dy_{2}Ti_{2}O_{7}}$ display qualitative properties of the spin ice model proposed by Harris {\it et al.} \prl {\bf 79}, 2554 (1997). We discuss the di...
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Dynamics at the Many-Body Localization Transition: The isolated one-dimensional Heisenberg model with static random magnetic fields has become paradigmatic for the analysis of many-body localization. Here, we study the dynamics of this system initially prepared in a highly-excited nonstationary state. Our focus is on t...
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How genealogies are affected by the speed of evolution: In a series of recent works it has been shown that a class of simple models of evolving populations under selection leads to genealogical trees whose statistics are given by the Bolthausen-Sznitman coalescent rather than by the well known Kingman coalescent in the...
cond-mat_dis-nn
Conserved Dynamics and Interface Roughening in Spontaneous Imbibition : A Phase Field Model: The propagation and roughening of a fluid-gas interface through a disordered medium in the case of capillary driven spontaneous imbibition is considered. The system is described by a conserved (model B) phase-field model, wit...
cond-mat_dis-nn
More than two equally probable variants of signal in Kauffman networks as an important overlooked case, negative feedbacks allow life in chaos: There are three main aims of this paper. 1- I explain reasons why I await life to lie significantly deeper in chaos than Kauffman approach does, however still in boundary are...
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Bias driven coherent carrier dynamics in a two-dimensional aperiodic potential: We study the dynamics of an electron wave-packet in a two-dimensional square lattice with an aperiodic site potential in the presence of an external uniform electric field. The aperiodicity is described by $\epsilon_{\bf m} = V\cos{(\pi\a...
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Unraveling the nature of carrier mediated ferromagnetism in diluted magnetic semiconductors: After more than a decade of intensive research in the field of diluted magnetic semiconductors (DMS), the nature and origin of ferromagnetism, especially in III-V compounds is still controversial. Many questions and open issu...
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Absorption spectrum of a one-dimensional chain with Frenkel's exciton under diagonal disorder represented by hyperbolic defects: A method is proposed for calculating the absorption spectrum of a long one-dimensional closed-into-a-ring chain with Frenkel's exciton under diagonal disorder. This disorder is represented ...
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Disorder Induced Anomalous Hall Effect in Type-I Weyl Metals: Connection between the Kubo-Streda Formula in the Spin and Chiral basis: We study the anomalous Hall effect (AHE) in tilted Weyl metals with weak Gaussian disorder under the Kubo-Streda formalism in this work. To separate the three different contributions,...
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Energy-Efficient and Robust Associative Computing with Electrically Coupled Dual Pillar Spin-Torque Oscillators: Dynamics of coupled spin-torque oscillators can be exploited for non-Boolean information processing. However, the feasibility of coupling large number of STOs with energy-efficiency and sufficient robustne...
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The integrated density of states of the random graph Laplacian: We analyse the density of states of the random graph Laplacian in the percolating regime. A symmetry argument and knowledge of the density of states in the nonpercolating regime allows us to isolate the density of states of the percolating cluster (DSPC) a...
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Localized Modes in Open One-Dimensional Dissipative Random Systems: We consider, both theoretically and experimentally, the excitation and detection of the localized quasi-modes (resonances) in an open dissipative 1D random system. We show that even though the amplitude of transmission drops dramatically so that it can...
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Level spacing distribution of localized phases induced by quasiperiodic potentials: Level statistics is a crucial tool in the exploration of localization physics. The level spacing distribution of the disordered localized phase follows Poisson statistics, and many studies naturally apply it to the quasiperiodic local...
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Geometry, Topology and Simplicial Synchronization: Simplicial synchronization reveals the role that topology and geometry have in determining the dynamical properties of simplicial complexes. Simplicial network geometry and topology are naturally encoded in the spectral properties of the graph Laplacian and of the high...
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Many-Body Localization: Transitions in Spin Models: We study the transitions between ergodic and many-body localized phases in spin systems, subject to quenched disorder, including the Heisenberg chain and the central spin model. In both cases systems with common spin lengths $1/2$ and $1$ are investigated via exact nu...
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Full solution for the storage of correlated memories in an autoassociative memory: We complement our previous work [arxiv: 0707.0565] with the full (non diluted) solution describing the stable states of an attractor network that stores correlated patterns of activity. The new solution provides a good fit of simulatio...
cond-mat_dis-nn
Generic Modeling of Chemotactic Based Self-Wiring of Neural Networks: The proper functioning of the nervous system depends critically on the intricate network of synaptic connections that are generated during the system development. During the network formation, the growth cones migrate through the embryonic environmen...
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Surface properties at the Kosterlitz-Thouless transition: Monte Carlo simulations of the two-dimensional XY model are performed in a square geometry with free and mixed fixed-free boundary conditions. Using a Schwarz-Christoffel conformal mapping, we deduce the exponent eta of the order parameter correlation function a...
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Application of Polynomial Algorithms to a Random Elastic Medium: A randomly pinned elastic medium in two dimensions is modeled by a disordered fully-packed loop model. The energetics of disorder-induced dislocations is studied using exact and polynomial algorithms from combinatorial optimization. Dislocations are found...
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Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model: By using a simple interpolation argument, in previous work we have proven the existence of the thermodynamic limit, for mean field disordered models, including the Sherrington-Kirkpatrick model, and the Derrida p-spin model. Here we extend this argument...
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Quantized Repetitions of the Cuprate Pseudogap Line: The cuprate superconductors display several characteristic temperatures which decrease as the material composition is doped, tracing lines across the temperature-doping phase diagram. Foremost among these is the pseudogap transition. At a higher temperature a peak is...
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