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Temperature-dependent criticality in random 2D Ising models: We consider 2D random Ising ferromagnetic models, where quenched disorder is represented either by random local magnetic fields (Random Field Ising Model) or by a random distribution of interaction couplings (Random Bond Ising Model). In both cases we first p...
cond-mat_dis-nn
Dynamics of weakly coupled random antiferromagnetic quantum spin chains: We study the low-energy collective excitations and dynamical response functions of weakly coupled random antiferromagnetic spin-1/2 chains. The interchain coupling leads to Neel order at low temperatures. We use the real-space renormalization grou...
cond-mat_dis-nn
The Exponential Capacity of Dense Associative Memories: Recent generalizations of the Hopfield model of associative memories are able to store a number $P$ of random patterns that grows exponentially with the number $N$ of neurons, $P=\exp(\alpha N)$. Besides the huge storage capacity, another interesting feature of th...
cond-mat_dis-nn
Renormalization of Oscillator Lattices with Disorder: A real-space renormalization transformation is constructed for lattices of non-identical oscillators with dynamics of the general form $d\phi_{k}/dt=\omega_{k}+g\sum_{l}f_{lk}(\phi_{l},\phi_{k})$. The transformation acts on ensembles of such lattices. Critical prope...
cond-mat_dis-nn
Numerical verification of universality for the Anderson transition: We analyze the scaling behavior of the higher Lyapunov exponents at the Anderson transition. We estimate the critical exponent and verify its universality and that of the critical conductance distribution for box, Gaussian and Lorentzian distributions ...
cond-mat_dis-nn
Spectral description of the dynamics of ultracold interacting bosons in disordered lattices: We study the dynamics of a nonlinear one-dimensional disordered system from a spectral point of view. The spectral entropy and the Lyapunov exponent are extracted from the short time dynamics, and shown to give a pertinent ch...
cond-mat_dis-nn
Creep motion of an elastic string in a random potential: We study the creep motion of an elastic string in a two dimensional pinning landscape by Langevin dynamics simulations. We find that the Velocity-Force characteristics are well described by the creep formula predicted from phenomenological scaling arguments. We a...
cond-mat_dis-nn
Analysis of Many-body Localization Landscapes and Fock Space Morphology via Persistent Homology: We analyze functionals that characterize the distribution of eigenstates in Fock space through a tool derived from algebraic topology: persistent homology. Drawing on recent generalizations of the localization landscape a...
cond-mat_dis-nn
Structure and Relaxation Dynamics of a Colloidal Gel: Using molecular dynamics computer simulations we investigate the structural and dynamical properties of a simple model for a colloidal gel at low volume fraction. We find that at low T the system is forming an open percolating cluster, without any sign of a phase se...
cond-mat_dis-nn
Probing tails of energy distributions using importance-sampling in the disorder with a guiding function: We propose a simple and general procedure based on a recently introduced approach that uses an importance-sampling Monte Carlo algorithm in the disorder to probe to high precision the tails of ground-state energy ...
cond-mat_dis-nn
Statistical Properties of the one dimensional Anderson model relevant for the Nonlinear Schrödinger Equation in a random potential: The statistical properties of overlap sums of groups of four eigenfunctions of the Anderson model for localization as well as combinations of four eigenenergies are computed. Some of the...
cond-mat_dis-nn
Tower of quantum scars in a partially many-body localized system: Isolated quantum many-body systems are often well-described by the eigenstate thermalization hypothesis. There are, however, mechanisms that cause different behavior: many-body localization and quantum many-body scars. Here, we show how one can find diso...
cond-mat_dis-nn
Delocalization of topological surface states by diagonal disorder in nodal loop semimetals: The effect of Anderson diagonal disorder on the topological surface (``drumhead'') states of a Weyl nodal loop semimetal is addressed. Since diagonal disorder breaks chiral symmetry, a winding number cannot be defined. Seen as...
cond-mat_dis-nn
Probing the dynamics of Anderson localization through spatial mapping: We study (1+1)D transverse localization of electromagnetic radiation at microwave frequencies directly by two-dimensional spatial scans. Since the longitudinal direction can be mapped onto time, our experiments provide unique snapshots of the build-...
cond-mat_dis-nn
Supermetallic and Trapped States in Periodically Kicked Lattices: A periodically driven lattice with two commensurate spatial periodicities is found to exhibit super metallic states characterized by enhancements in wave packet spreading and entropy. These resonances occur at critical values of parameters where multi-ba...
cond-mat_dis-nn
Multifractality of ab initio wave functions in doped semiconductors: In Refs. [1,2] we have shown how a combination of modern linear-scaling DFT, together with a subsequent use of large, effective tight-binding Hamiltonians, allows to compute multifractal wave functions yielding the critical properties of the Anderson ...
cond-mat_dis-nn
Coexistence of localization and transport in many-body two-dimensional Aubry-André models: Whether disordered and quasiperiodic many-body quantum systems host a long-lived localized phase in the thermodynamic limit has been the subject of intense recent debate. While in one dimension substantial evidence for the exis...
cond-mat_dis-nn
Failure Probabilities and Tough-Brittle Crossover of Heterogeneous Materials with Continuous Disorder: The failure probabilities or the strength distributions of heterogeneous 1D systems with continuous local strength distribution and local load sharing have been studied using a simple, exact, recursive method. The f...
cond-mat_dis-nn
Crossovers in ScaleFree Networks on Geographical Space: Complex networks are characterized by several topological properties: degree distribution, clustering coefficient, average shortest path length, etc. Using a simple model to generate scale-free networks embedded on geographical space, we analyze the relationship b...
cond-mat_dis-nn
"Single Ring Theorem" and the Disk-Annulus Phase Transition: Recently, an analytic method was developed to study in the large $N$ limit non-hermitean random matrices that are drawn from a large class of circularly symmetric non-Gaussian probability distributions, thus extending the existing Gaussian non-hermitean liter...
cond-mat_dis-nn
Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials: The mobility edge (ME) is a critical energy delineates the boundary between extended and localized states within the energy spectrum, and it plays a crucial role in understanding the meta...
cond-mat_dis-nn
Adaptive cluster expansion for the inverse Ising problem: convergence, algorithm and tests: We present a procedure to solve the inverse Ising problem, that is to find the interactions between a set of binary variables from the measure of their equilibrium correlations. The method consists in constructing and selectin...
cond-mat_dis-nn
Topology invariance in Percolation Thresholds: An universal invariant for site and bond percolation thresholds (p_{cs} and p_{cb} respectively) is proposed. The invariant writes {p_{cs}}^{1/a_s}{p_{cb}}^{-1/a_b}=\delta/d where a_s, a_b and \delta are positive constants,and d the space dimension. It is independent of th...
cond-mat_dis-nn
Exact Ground State Properties of Disordered Ising-Systems: Exact ground states are calculated with an integer optimization algorithm for two and three dimensional site-diluted Ising antiferromagnets in a field (DAFF) and random field Ising ferromagnets (RFIM). We investigate the structure and the size-distribution of t...
cond-mat_dis-nn
Towards quantization Conway Game of Life: Classical stochastic Conway Game of Life is expressed by the dissipative Schr\"odinger equation and dissipative tight-binding model. This is conducted at the prize of usage of time dependent anomalous non-Hermitian Hamiltonians as with occurrence of complex value potential that...
cond-mat_dis-nn
Effect of Strong Disorder on 3-Dimensional Chiral Topological Insulators: Phase Diagrams, Maps of the Bulk Invariant and Existence of Topological Extended Bulk States: The effect of strong disorder on chiral-symmetric 3-dimensional lattice models is investigated via analytical and numerical methods. The phase diagr...
cond-mat_dis-nn
Interdependent networks with correlated degrees of mutually dependent nodes: We study a problem of failure of two interdependent networks in the case of correlated degrees of mutually dependent nodes. We assume that both networks (A and B) have the same number of nodes $N$ connected by the bidirectional dependency li...
cond-mat_dis-nn
Memory effects in transport through a hopping insulator: Understanding two-dip experiments: We discuss memory effects in the conductance of hopping insulators due to slow rearrangements of many-electron clusters leading to formation of polarons close to the electron hopping sites. An abrupt change in the gate voltage...
cond-mat_dis-nn
Long-range correlations of density in a Bose-Einstein condensate expanding in a random potential: We study correlations of atomic density in a weakly interacting Bose-Einstein condensate, expanding diffusively in a random potential. We show that these correlations are long-range and that they are strongly enhanced at...
cond-mat_dis-nn
Many-body localization, thermalization, and entanglement: Thermalizing quantum systems are conventionally described by statistical mechanics at equilibrium. However, not all systems fall into this category, with many body localization providing a generic mechanism for thermalization to fail in strongly disordered syste...
cond-mat_dis-nn
Anderson localization of a Bose-Einstein condensate in a 3D random potential: We study the effect of Anderson localization on the expansion of a Bose-Einstein condensate, released from a harmonic trap, in a 3D random potential. We use scaling arguments and the self-consistent theory of localization to show that the l...
cond-mat_dis-nn
Dimensional Dependence of Critical Exponent of the Anderson Transition in the Orthogonal Universality Class: We report improved numerical estimates of the critical exponent of the Anderson transition in Anderson's model of localization in $d=4$ and $d=5$ dimensions. We also report a new Borel-Pad\'e analysis of exist...
cond-mat_dis-nn
Phase Transition in the Random Anisotropy Model: The influence of a local anisotropy of random orientation on a ferromagnetic phase transition is studied for two cases of anisotropy axis distribution. To this end a model of a random anisotropy magnet is analyzed by means of the field theoretical renormalization group a...
cond-mat_dis-nn
Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses: We study the four-dimensional Ising spin glass with Gaussian and bond-diluted bimodal distributed interactions via large-scale Monte Carlo simulations and show via an extensive finite-size scaling analysis that four-dimen...
cond-mat_dis-nn
From power law to Anderson localization in nonlinear Schrödinger equation with nonlinear randomness: We study the propagation of coherent waves in a nonlinearly-induced random potential, and find regimes of self-organized criticality and other regimes where the nonlinear equivalent of Anderson localization prevails. ...
cond-mat_dis-nn
The Leontovich boundary conditions and calculation of effective impedance of inhomogeneous metal: We bring forward rather simple algorithm allowing us to calculate the effective impedance of inhomogeneous metals in the frequency region where the local Leontovich (the impedance) boundary conditions are justified. The ...
cond-mat_dis-nn
Comment on "Erratum: Collective modes and gapped momentum states in liquid Ga:Experiment, theory, and simulation": We show, that the theoretical expression for the dispersion of collective excitations reported in [Phys. Rev. B {\bf 103}, 099901 (2021)], at variance with what was claimed in the paper, does not account...
cond-mat_dis-nn
Quantum transport of atomic matterwaves in anisotropic 2D and 3D disorder: The macroscopic transport properties in a disordered potential, namely diffusion and weak/strong localization, closely depend on the microscopic and statistical properties of the disorder itself. This dependence is rich of counter-intuitive co...
cond-mat_dis-nn
Elementary plastic events in amorphous silica: Plastic instabilities in amorphous materials are often studied using idealized models of binary mixtures that do not capture accurately molecular interactions and bonding present in real glasses. Here we study atomic scale plastic instabilities in a three dimensional molec...
cond-mat_dis-nn
Correlated Domains in Spin Glasses: We study the 3D Edwards-Anderson spin glasses, by analyzing spin-spin correlation functions in thermalized spin configurations at low T on large lattices. We consider individual disorder samples and analyze connected clusters of very correlated sites: we analyze how the volume and th...
cond-mat_dis-nn
Probing many-body localization in a disordered quantum magnet: Quantum states cohere and interfere. Quantum systems composed of many atoms arranged imperfectly rarely display these properties. Here we demonstrate an exception in a disordered quantum magnet that divides itself into nearly isolated subsystems. We probe t...
cond-mat_dis-nn
Novel scaling behavior of the Ising model on curved surfaces: We demonstrate the nontrivial scaling behavior of Ising models defined on (i) a donut-shaped surface and (ii) a curved surface with a constant negative curvature. By performing Monte Carlo simulations, we find that the former model has two distinct critical ...
cond-mat_dis-nn
Reply to Comment on "Quantum Phase Transition of Randomly-Diluted Heisenberg Antiferromagnet on a Square Lattice": This is a reply to the comment by A. W. Sandvik (cond-mat/0010433) on our paper Phys. Rev. Lett. 84, 4204 (2000). We show that his data do not conflict with our data nor with our conclusions.
cond-mat_dis-nn
Realization-dependent model of hopping transport in disordered media: At low injection or low temperatures, electron transport in disordered semiconductors is dominated by phonon-assisted hopping between localized states. A very popular approach to this hopping transport is the Miller-Abrahams model that requires a set...
cond-mat_dis-nn
A theory of π/2 superconducting Josephson junctions: We consider theoretically a Josephson junction with a superconducting critical current density which has a random sign along the junction's surface. We show that the ground state of the junction corresponds to the phase difference equal to \pi/2. Such a situation can...
cond-mat_dis-nn
Extended states in disordered systems: role of off-diagonal correlations: We study one-dimensional systems with random diagonal disorder but off-diagonal short-range correlations imposed by structural constraints. We find that these correlations generate effective conduction channels for finite systems. At a certain go...
cond-mat_dis-nn
Real space Renormalization Group analysis of a non-mean field spin-glass: A real space Renormalization Group approach is presented for a non-mean field spin-glass. This approach has been conceived in the effort to develop an alternative method to the Renormalization Group approaches based on the replica method. Indeed,...
cond-mat_dis-nn
Signature of ballistic effects in disordered conductors: Statistical properties of energy levels, wave functions and quantum-mechanical matrix elements in disordered conductors are usually calculated assuming diffusive electron dynamics. Mirlin has pointed out [Phys. Rep. 326, 259 (2000)] that ballistic effects may, un...
cond-mat_dis-nn
Democratic particle motion for meta-basin transitions in simple glass-formers: We use molecular dynamics computer simulations to investigate the local motion of the particles in a supercooled simple liquid. Using the concept of the distance matrix we find that the alpha-relaxation corresponds to a small number of cro...
cond-mat_dis-nn
Resistance distance distribution in large sparse random graphs: We consider an Erdos-Renyi random graph consisting of N vertices connected by randomly and independently drawing an edge between every pair of them with probability c/N so that at N->infinity one obtains a graph of finite mean degree c. In this regime, we ...
cond-mat_dis-nn
Sensitivity, Itinerancy and Chaos in Partly-Synchronized Weighted Networks: We present exact results, as well as some illustrative Monte Carlo simulations, concerning a stochastic network with weighted connections in which the fraction of nodes that are dynamically synchronized is a parameter. This allows one to desc...
cond-mat_dis-nn
Modelling Quasicrystal Growth: Understanding the growth of quasicrystals poses a challenging problem, not the least because the quasiperiodic order present in idealized mathematical models of quasicrystals prohibit simple local growth algorithms. This can only be circumvented by allowing for some degree of disorder, wh...
cond-mat_dis-nn
Electric field induced memory and aging effects in pure solid N_2: We report combined high sensitivity dielectric constant and heat capacity measurements of pure solid N_2 in the presence of a small external ac electric field in the audio frequency range. We have observed strong field induced aging and memory effects w...
cond-mat_dis-nn
Criterion for the occurrence of many body localization in the presence of a single particle mobility edge: Non-interacting fermions in one dimension can undergo a localization-delocalization transition in the presence of a quasi-periodic potential as a function of that potential. In the presence of interactions, this...
cond-mat_dis-nn
Numerical evidences of a universal critical behavior of 2D and 3D random quantum clock and Potts models: The random quantum $q$-state clock and Potts models are studied in 2 and 3 dimensions. The existence of Griffiths phases is tested in the 2D case with $q=6$ by sampling the integrated probability distribution of l...
cond-mat_dis-nn
Absence of disordered Thouless pumps at finite frequency: A Thouless pump is a slowly driven one-dimensional band insulator which pumps charge at a quantised rate. Previous work showed that pumping persists in weakly disordered chains, and separately in clean chains at finite drive frequency. We study the interplay of ...
cond-mat_dis-nn
Frequency propagation: Multi-mechanism learning in nonlinear physical networks: We introduce frequency propagation, a learning algorithm for nonlinear physical networks. In a resistive electrical circuit with variable resistors, an activation current is applied at a set of input nodes at one frequency, and an error c...
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
Floquet Time Crystals: We define what it means for time translation symmetry to be spontaneously broken in a quantum system, and show with analytical arguments and numerical simulations that this occurs in a large class of many-body-localized driven systems with discrete time-translation symmetry.
cond-mat_dis-nn
Zero-temperature Glauber dynamics on small-world networks: The zero-temperature Glauber dynamics of the ferromagnetic Ising model on small-world networks, rewired from a two-dimensional square lattice, has been studied by numerical simulations. For increasing disorder in finite networks, the nonequilibrium dynamics bec...
cond-mat_dis-nn
Scaling the alpha-relaxation time of supercooled fragile organic liquids: It was shown recently that the structural alpha-relaxation time tau of supercooled o-terphenyl depends on a single control parameter Gamma, which is the product of a function of density E(ro), by the inverse temperature T -1. We extend this findi...
cond-mat_dis-nn
Rare region effects and dynamics near the many-body localization transition: The low-frequency response of systems near the many-body localization phase transition, on either side of the transition, is dominated by contributions from rare regions that are locally "in the other phase", i.e., rare localized regions in ...
cond-mat_dis-nn
Human Genome data analyzed by an evolutionary method suggests a decrease in cerebral protein-synthesis rate as cause of schizophrenia and an increase as antipsychotic mechanism: The Human Genome Project (HGP) provides researchers with the data of nearly all human genes and the challenge to use this information for ...
cond-mat_dis-nn
Critical-to-Insulator Transitions and Fractality Edges in Perturbed Flatbands: We study the effect of quasiperiodic perturbations on one-dimensional all-bands-flat lattice models. Such networks can be diagonalized by a finite sequence of local unitary transformations parameterized by angles $\theta_i$. Without loss o...
cond-mat_dis-nn
Dynamic entropies, long-range correlations, and fluctuations in complex linear structures: We investigate symbolic sequences and in particular information carriers as e.g. books and DNA-strings. First the higher order Shannon entropies are calculated, a characteristic root law is detected. Then the algorithmic entrop...
cond-mat_dis-nn
Flat bands in fractal-like geometry: We report the presence of multiple flat bands in a class of two-dimensional (2D) lattices formed by Sierpinski gasket (SPG) fractal geometries as the basic unit cells. Solving the tight-binding Hamiltonian for such lattices with different generations of a SPG network, we find multip...
cond-mat_dis-nn
Localization in Correlated Bi-Layer Structures: From Photonic Cristals to Metamaterials and Electron Superlattices: In a unified approach, we study the transport properties of periodic-on-average bi-layered photonic crystals, metamaterials and electron superlattices. Our consideration is based on the analytical expre...
cond-mat_dis-nn
Random Defect Lines in Conformal Minimal Models: We analyze the effect of adding quenched disorder along a defect line in the 2D conformal minimal models using replicas. The disorder is realized by a random applied magnetic field in the Ising model, by fluctuations in the ferromagnetic bond coupling in the Tricritical ...
cond-mat_dis-nn
Simulating Spin Waves in Entropy Stabilized Oxides: The entropy stabilized oxide Mg$_{0.2}$Co$_{0.2}$Ni$_{0.2}$Cu$_{0.2}$Zn$_{0.2}$O exhibits antiferromagnetic order and magnetic excitations, as revealed by recent neutron scattering experiments. This observation raises the question of the nature of spin wave excitation...
cond-mat_dis-nn
Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random field Heisenberg spin chain: Despite tremendous theoretical efforts to understand subtleties of the many-body localization (MBL) transition, many questions remain open, in particular concerning its critical propertie...
cond-mat_dis-nn
Many-body localization transition in a frustrated XY chain: We demonstrate many-body localization (MBL) transition in a one-dimensional isotropic XY chain with a weak next-nearest-neighbor frustration in a random magnetic field. We perform finite-size exact diagonalization calculations of level-spacing statistics and f...
cond-mat_dis-nn
Potts spin glasses with 3, 4 and 5 states near $T=T_c$: expanding around the replica symmetric solution: Expansion for the free energy functionals of the Potts spin glass models with 3, 4 and 5 states up to the fourth order in $\delta q_{\alpha \beta }$ around the replica symmetric solution (RS) is investigated using...
cond-mat_dis-nn
Clustering of solutions in the symmetric binary perceptron: The geometrical features of the (non-convex) loss landscape of neural network models are crucial in ensuring successful optimization and, most importantly, the capability to generalize well. While minimizers' flatness consistently correlates with good generali...
cond-mat_dis-nn
Mechanical Failure in Amorphous Solids: Scale Free Spinodal Criticality: The mechanical failure of amorphous media is a ubiquitous phenomenon from material engineering to geology. It has been noticed for a long time that the phenomenon is "scale-free", indicating some type of criticality. In spite of attempts to invoke...
cond-mat_dis-nn
Short-time critical dynamics of the three-dimensional systems with long-range correlated disorder: Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Ising and XY models with long-range correlated disorder at criticality, in the case corresponding to linear defects. The stat...
cond-mat_dis-nn
Odor recognition and segmentation by a model olfactory bulb and cortex: We present a model of an olfactory system that performs odor segmentation. Based on the anatomy and physiology of natural olfactory systems, it consists of a pair of coupled modules, bulb and cortex. The bulb encodes the odor inputs as oscillating ...
cond-mat_dis-nn
Neutron Scattering Study of Fluctuating and Static Spin Correlations in the Anisotropic Spin Glass Fe$_2$TiO$_5$: The anisotropic spin glass transition, in which spin freezing is observed only along the c-axis in pseudobrookite Fe$_2$TiO$_5$, has long been perplexing because the Fe$^{3+}$ moments (d$^5$) are expected...
cond-mat_dis-nn
Transverse confinement of ultrasound through the Anderson transition in 3D mesoglasses: We report an in-depth investigation of the Anderson localization transition for classical waves in three dimensions (3D). Experimentally, we observe clear signatures of Anderson localization by measuring the transverse confinement...
cond-mat_dis-nn
Delays, connection topology, and synchronization of coupled chaotic maps: We consider networks of coupled maps where the connections between units involve time delays. We show that, similar to the undelayed case, the synchronization of the network depends on the connection topology, characterized by the spectrum of the...
cond-mat_dis-nn
Effect of weak disorder in the Fully Frustrated XY model: The critical behaviour of the Fully Frustrated XY model in presence of weak positional disorder is studied in a square lattice by Monte Carlo methods. The critical exponent associated to the divergence of the chiral correlation length is found to be equal to 1.7...
cond-mat_dis-nn
Zero-Temperature Dynamics of Plus/Minus J Spin Glasses and Related Models: We study zero-temperature, stochastic Ising models sigma(t) on a d-dimensional cubic lattice with (disordered) nearest-neighbor couplings independently chosen from a distribution mu on R and an initial spin configuration chosen uniformly at ra...
cond-mat_dis-nn
Extensive eigenvalues in spin-spin correlations: a tool for counting pure states in Ising spin glasses: We study the nature of the broken ergodicity in the low temperature phase of Ising spin glass systems, using as a diagnostic tool the spectrum of eigenvalues of the spin-spin correlation function. We show that mult...
cond-mat_dis-nn
Entanglement and localization in long-range quadratic Lindbladians: Existence of Anderson localization is considered a manifestation of coherence of classical and quantum waves in disordered systems. Signatures of localization have been observed in condensed matter and cold atomic systems where the coupling to the envi...
cond-mat_dis-nn
Spontaneous ordering against an external field in nonequilibrium systems: We study the collective behavior of nonequilibrium systems subject to an external field with a dynamics characterized by the existence of non-interacting states. Aiming at exploring the generality of the results, we consider two types of models a...
cond-mat_dis-nn
Unsupervised learning of phase transitions via modified anomaly detection with autoencoders: In this paper, a modified method of anomaly detection using convolutional autoencoders is employed to predict phase transitions in several statistical mechanical models on a square lattice. We show that, when the autoencoder ...
cond-mat_dis-nn
Effect of connecting wires on the decoherence due to electron-electron interaction in a metallic ring: We consider the weak localization in a ring connected to reservoirs through leads of finite length and submitted to a magnetic field. The effect of decoherence due to electron-electron interaction on the harmonics o...
cond-mat_dis-nn
Spin Domains Generate Hierarchical Ground State Structure in J=+/-1 Spin Glasses: Unbiased samples of ground states were generated for the short-range Ising spin glass with Jij=+/-1, in three dimensions. Clustering the ground states revealed their hierarchical structure, which is explained by correlated spin domains,...
cond-mat_dis-nn
Filling a silo with a mixture of grains: Friction-induced segregation: We study the filling process of a two-dimensional silo with inelastic particles by simulation of a granular media lattice gas (GMLG) model. We calculate the surface shape and flow profiles for a monodisperse system and we introduce a novel generaliz...
cond-mat_dis-nn
Zero-modes in the random hopping model: If the number of lattice sites is odd, a quantum particle hopping on a bipartite lattice with random hopping between the two sublattices only is guaranteed to have an eigenstate at zero energy. We show that the localization length of this eigenstate depends strongly on the bounda...
cond-mat_dis-nn
Thermodynamic picture of the glassy state gained from exactly solvable models: A picture for thermodynamics of the glassy state was introduced recently by us (Phys. Rev. Lett. {\bf 79} (1997) 1317; {\bf 80} (1998) 5580). It starts by assuming that one extra parameter, the effective temperature, is needed to describe ...
cond-mat_dis-nn
Information Bounds on phase transitions in disordered systems: Information theory, rooted in computer science, and many-body physics, have traditionally been studied as (almost) independent fields. Only recently has this paradigm started to shift, with many-body physics being studied and characterized using tools devel...
cond-mat_dis-nn
Impact of boundaries on fully connected random geometric networks: Many complex networks exhibit a percolation transition involving a macroscopic connected component, with universal features largely independent of the microscopic model and the macroscopic domain geometry. In contrast, we show that the transition to ful...
cond-mat_dis-nn
Metallic spin-glasses beyond mean-field: An approach to the impurity-concentration dependence of the freezing temperature: A relation between the freezing temperature ($T^{}_{\rm g}$) and the exchange couplings ($J^{}_{ij}$) in metallic spin-glasses is derived, taking the spin-correlations ($G^{}_{ij}$) into account....
cond-mat_dis-nn
Finite Temperature Ordering in the Three-Dimensional Gauge Glass: We present results of Monte Carlo simulations of the gauge glass model in three dimensions using exchange Monte Carlo. We show for the first time clear evidence of the vortex glass ordered phase at finite temperature. Using finite size scaling we obtain ...
cond-mat_dis-nn
Saddles and dynamics in a solvable mean-field model: We use the saddle-approach, recently introduced in the numerical investigation of simple model liquids, in the analysis of a mean-field solvable system. The investigated system is the k-trigonometric model, a k-body interaction mean field system, that generalizes the...
cond-mat_dis-nn
Random Ising chain in transverse and longitudinal fields: Strong disorder RG study: Motivated by the compound ${\rm LiHo}_x{\rm Y}_{1-x}{\rm F}_4$, we consider the Ising chain with random couplings and in the presence of simultaneous random transverse and longitudinal fields, and study its low-energy properties at ze...
cond-mat_dis-nn
Computing the number of metastable states in infinite-range models: In these notes I will review the results that have been obtained in these last years on the computation of the number of metastable states in infinite-range models of disordered systems. This is a particular case of the problem of computing the exponen...
cond-mat_dis-nn
Dependence of critical parameters of 2D Ising model on lattice size: For the 2D Ising model, we analyzed dependences of thermodynamic characteristics on number of spins by means of computer simulations. We compared experimental data obtained using the Fisher-Kasteleyn algorithm on a square lattice with $N=l{\times}l$ s...
cond-mat_dis-nn
Experimental Observation of Phase Transitions in Spatial Photonic Ising Machine: Statistical spin dynamics plays a key role to understand the working principle for novel optical Ising machines. Here we propose the gauge transformations for spatial photonic Ising machine, where a single spatial phase modulator simulta...
cond-mat_dis-nn
Ward type identities for the 2d Anderson model at weak disorder: Using the particular momentum conservation laws in dimension d=2, we can rewrite the Anderson model in terms of low momentum long range fields, at the price of introducing electron loops. The corresponding loops satisfy a Ward type identity, hence are muc...
cond-mat_dis-nn