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Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity: We explore anomalous skin effects at non-Hermitian impurities by studying their interplay with potential disorder and by exactly solving a minimal lattice model. A striking feature of the solvable single-impurity model is that the pres...
cond-mat_dis-nn
Distribution of critical temperature at Anderson localization: Based on a local mean-field theory approach at Anderson localization, we find a distribution function of critical temperature from that of disorder. An essential point of this local mean-field theory approach is that the information of the wave-function mul...
cond-mat_dis-nn
Neural network enhanced hybrid quantum many-body dynamical distributions: Computing dynamical distributions in quantum many-body systems represents one of the paradigmatic open problems in theoretical condensed matter physics. Despite the existence of different techniques both in real-time and frequency space, computat...
cond-mat_dis-nn
Microscopic theory of OMAR based on kinetic equations for quantum spin correlations: The correlation kinetic equation approach is developed that allows describing spin correlations in a material with hopping transport. The quantum nature of spin is taken into account. The approach is applied to the problem of the bip...
cond-mat_dis-nn
Functional Renormalization for Disordered Systems, Basic Recipes and Gourmet Dishes: We give a pedagogical introduction into the functional renormalization group treatment of disordered systems. After a review of its phenomenology, we show why in the context of disordered systems a functional renormalization group tr...
cond-mat_dis-nn
"Burning and sticking" model for a porous material: suppression of the topological phase transition due to the backbone reinforcement effect: We introduce and study the "burning-and-sticking" (BS) lattice model for the porous material that involves sticking of emerging finite clusters to the mainland. In contrast wit...
cond-mat_dis-nn
Random elastic networks : strong disorder renormalization approach: For arbitrary networks of random masses connected by random springs, we define a general strong disorder real-space renormalization (RG) approach that generalizes the procedures introduced previously by Hastings [Phys. Rev. Lett. 90, 148702 (2003)] and...
cond-mat_dis-nn
Dynamics of disordered elastic systems: We review in these notes some dynamical properties of interfaces in random media submitted to an external force. We focuss in particular to the response to a very small force (so called creep motion) and discuss various theoretical aspects of this problem. We consider in details ...
cond-mat_dis-nn
A Theory for Spin Glass Phenomena in Interacting Nanoparticle Systems: Dilute magnetic nanoparticle systems exhibit slow dynamics [1] due to a broad distribution of relaxation times that can be traced to a correspondingly broad distribution of particle sizes [1]. However, at higher concentrations interparticle interact...
cond-mat_dis-nn
Fluctuations of random matrix products and 1D Dirac equation with random mass: We study the fluctuations of certain random matrix products $\Pi_N=M_N\cdots M_2M_1$ of $\mathrm{SL}(2,\mathbb{R})$, describing localisation properties of the one-dimensional Dirac equation with random mass. In the continuum limit, i.e. wh...
cond-mat_dis-nn
Strong Disorder RG approach - a short review of recent developments: The Strong Disorder RG approach for random systems has been extended in many new directions since our previous review of 2005 [Phys. Rep. 412, 277]. The aim of the present colloquium paper is thus to give an overview of these various recent developmen...
cond-mat_dis-nn
Algorithms for 3D rigidity analysis and a first order percolation transition: A fast computer algorithm, the pebble game, has been used successfully to study rigidity percolation on 2D elastic networks, as well as on a special class of 3D networks, the bond-bending networks. Application of the pebble game approach to...
cond-mat_dis-nn
Constructing local integrals of motion in the many-body localized phase: Many-body localization provides a generic mechanism of ergodicity breaking in quantum systems. In contrast to conventional ergodic systems, many-body localized (MBL) systems are characterized by extensively many local integrals of motion (LIOM), w...
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
Electric field control of magnetic properties and magneto-transport in composite multiferroics: We study magnetic state and electron transport properties of composite multiferroic system consisting of a granular ferromagnetic thin film placed above the ferroelectric substrate. Ferroelectricity and magnetism in this c...
cond-mat_dis-nn
Near-field EM wave scattering from random self-affine fractal metal surfaces: spectral dependence of local field enhancements and their statistics in connection with SERS: By means of rigorous numerical simulation calculations based on the Green's theorem integral equation formulation, we study the near EM field in...
cond-mat_dis-nn
Magnitoelastic interaction and long-range magnetic ordering in two-dimesional ferromagnetics: The influence of magnitoelastic (ME) interaction on the stabilization of long-range magnetic order (LMO) in the two-dimensional easy-plane ferromagnetic is investigated in this work. The account of ME exchange results in the...
cond-mat_dis-nn
Momentum Signatures of Site Percolation in Disordered 2D Ferromagnets: In this work, we consider a two-dimensional square lattice of pinned magnetic spins with nearest-neighbour interactions and we randomly replace a fixed proportion of spins with nonmagnetic defects carrying no spin. We focus on the linear spin-wave r...
cond-mat_dis-nn
Bond-disordered spin systems: Theory and application to doped high-Tc compounds: We examine the stability of magnetic order in a classical Heisenberg model with quenched random exchange couplings. This system represents the spin degrees of freedom in high-$T_\textrm{c}$ compounds with immobile dopants. Starting from ...
cond-mat_dis-nn
Photonic structures with disorder immunity: Periodic and disordered media are known to possess different transport properties, either classically or quantum-mechanically. This has been exhibited by effects such as Anderson localization in systems with disorder and the existence of photonic bandgaps in the periodic case...
cond-mat_dis-nn
Absence of Conventional Spin-Glass Transition in the Ising Dipolar System LiHo_xY_{1-x}F_4: The magnetic properties of single crystals of LiHo_xY_{1-x}F_4 with x=16.5% and x=4.5% were recorded down to 35 mK using a micro-SQUID magnetometer. While this system is considered as the archetypal quantum spin glass, the det...
cond-mat_dis-nn
Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity: The scattering-matrix product SS+ of a weakly absorbing medium is related by a unitary transformation to the time-delay matrix without absorption. It follows from this relationship that the eigenvalues of SS+ for a weakly absorbing chaot...
cond-mat_dis-nn
Dynamics of strongly interacting systems: From Fock-space fragmentation to Many-Body Localization: We study the $t{-}V$ disordered spinless fermionic chain in the strong coupling regime, $t/V\rightarrow 0$. Strong interactions highly hinder the dynamics of the model, fragmenting its Hilbert space into exponentially m...
cond-mat_dis-nn
Hidden Quasicrystal in Hofstadter Butterfly: Topological description of hierarchical sets of spectral gaps of Hofstadter butterfly is found to be encoded in a quasicrystal where magnetic flux plays the role of a phase factor that shifts the origin of the quasiperiodic order. Revealing an intrinsic frustration at smalle...
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
Weighted evolving networks: coupling topology and weights dynamics: We propose a model for the growth of weighted networks that couples the establishment of new edges and vertices and the weights' dynamical evolution. The model is based on a simple weight-driven dynamics and generates networks exhibiting the statistica...
cond-mat_dis-nn
Thermodynamic signature of growing amorphous order in glass-forming liquids: Although several theories relate the steep slowdown of glass formers to increasing spatial correlations of some sort, standard static correlation functions show no evidence for this. We present results that reveal for the first time a qualit...
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
Spin-glass behavior in the random-anisotropy Heisenberg model: We perform Monte Carlo simulations in a random anisotropy magnet at a intermediate exchange to anisotropy ratio. We focus on the out of equilibrium relaxation after a sudden quenching in the low temperature phase, well below the freezing one. By analyzing b...
cond-mat_dis-nn
Quantum dynamics in canonical and micro-canonical ensembles. Part I. Anderson localization of electrons: The new numerical approach for consideration of quantum dynamics and calculations of the average values of quantum operators and time correlation functions in the Wigner representation of quantum statistical mecha...
cond-mat_dis-nn
On Renyi entropies characterizing the shape and the extension of the phase space representation of quantum wave functions in disordered systems: We discuss some properties of the generalized entropies, called Renyi entropies and their application to the case of continuous distributions. In particular it is shown that...
cond-mat_dis-nn
Phase ordering on small-world networks with nearest-neighbor edges: We investigate global phase coherence in a system of coupled oscillators on a small-world networks constructed from a ring with nearest-neighbor edges. The effects of both thermal noise and quenched randomness on phase ordering are examined and compare...
cond-mat_dis-nn
On the formal equivalence of the TAP and thermodynamic methods in the SK model: We revisit two classic Thouless-Anderson-Palmer (TAP) studies of the Sherrington-Kirkpatrick model [Bray A J and Moore M A 1980 J. Phys. C 13, L469; De Dominicis C and Young A P, 1983 J. Phys. A 16, 2063]. By using the Becchi-Rouet-Stora-...
cond-mat_dis-nn
Laser Excitation of Polarization Waves in a Frozen Gas: Laser experiments with optically excited frozen gases entail the excitation of polarization waves. In a continuum approximation the waves are dispersionless, but their frequency depends on the direction of the propagation vector. An outline is given of the theory ...
cond-mat_dis-nn
Spontaneous and stimulus-induced coherent states of critically balanced neuronal networks: How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales ...
cond-mat_dis-nn
Experimental Studies of Artificial Spin Ice: Artificial spin ices were originally introduced as analogs of the pyrochlore spin ices, but have since become a much richer field . The original attraction of building nanotechnological analogs of the pyrochlores were threefold: to allow room temperature studies of geometric...
cond-mat_dis-nn
Critical scaling in random-field systems: 2 or 3 independent exponents?: We show that the critical scaling behavior of random-field systems with short-range interactions and disorder correlations cannot be described in general by only two independent exponents, contrary to previous claims. This conclusion is based on a...
cond-mat_dis-nn
Mean field theory for the three-dimensional Coulomb glass: We study the low temperature phase of the 3D Coulomb glass within a mean field approach which reduces the full problem to an effective single site model with a non-trivial replica structure. We predict a finite glass transition temperature $T_c$, and a glassy l...
cond-mat_dis-nn
Direct sampling of complex landscapes at low temperatures: the three-dimensional +/-J Ising spin glass: A method is presented, which allows to sample directly low-temperature configurations of glassy systems, like spin glasses. The basic idea is to generate ground states and low lying excited configurations using a h...
cond-mat_dis-nn
Fluctuation-Induced Interactions and the Spin Glass Transition in $Fe_2TiO_5$: We investigate the spin-glass transition in the strongly frustrated well-known compound $Fe_2TiO_5$. A remarkable feature of this transition, widely discussed in the literature, is its anisotropic properties: the transition manifests itsel...
cond-mat_dis-nn
Non-Gaussian effects and multifractality in the Bragg glass: We study, beyond the Gaussian approximation, the decay of the translational order correlation function for a d-dimensional scalar periodic elastic system in a disordered environment. We develop a method based on functional determinants, equivalent to summing ...
cond-mat_dis-nn
Universal Features of Terahertz Absorption in Disordered Materials: Using an analytical theory, experimental terahertz time-domain spectroscopy data and numerical evidence, we demonstrate that the frequency dependence of the absorption coupling coefficient between far-infrared photons and atomic vibrations in disordere...
cond-mat_dis-nn
Magnetic dot arrays modeling via the system of the radial basis function networks: Two dimensional square lattice general model of the magnetic dot array is introduced. In this model the intradot self-energy is predicted via the neural network and interdot magnetostatic coupling is approximated by the collection of s...
cond-mat_dis-nn
Statistics of cycles in large networks: We present a Markov Chain Monte Carlo method for sampling cycle length in large graphs. Cycles are treated as microstates of a system with many degrees of freedom. Cycle length corresponds to energy such that the length histogram is obtained as the density of states from Metropol...
cond-mat_dis-nn
Bath-induced decay of Stark many-body localization: We investigate the relaxation dynamics of an interacting Stark-localized system coupled to a dephasing bath, and compare its behavior to the conventional disorder-induced many body localized system. Specifically, we study the dynamics of population imbalance between e...
cond-mat_dis-nn
Continuum Field Model of Street Canyon: Theoretical Description; Part I: A general proecological urban road traffic control idea for the street canyon is proposed with emphasis placed on development of advanced continuum field gasdynamical (hydrodynamical) control model of the street canyon. The continuum field model o...
cond-mat_dis-nn
Critical behaviour and ultrametricity of Ising spin-glass with long-range interactions: Ising spin-glass systems with long-range interactions ($J(r)\sim r^{-\sigma}$) are considered. A numerical study of the critical behaviour is presented in the non-mean-field region together with an analysis of the probability dist...
cond-mat_dis-nn
Localization and delocalization in one-dimensional systems with translation-invariant hopping: We present a theory of Anderson localization on a one-dimensional lattice with translation-invariant hopping. We find by analytical calculation, the localization length for arbitrary finite-range hopping in the single propa...
cond-mat_dis-nn
Probing spin glasses with heuristic optimization algorithms: A sketch of the chapter appearing under the same heading in the book ``New Optimization Algorithms in Physics'' (A.K. Hartmann and H. Rieger, Eds.) is given. After a general introduction to spin glasses, important aspects of heuristic algorithms for tackling ...
cond-mat_dis-nn
Specific Heat of Quantum Elastic Systems Pinned by Disorder: We present the detailed study of the thermodynamics of vibrational modes in disordered elastic systems such as the Bragg glass phase of lattices pinned by quenched impurities. Our study and our results are valid within the (mean field) replica Gaussian variat...
cond-mat_dis-nn
Heterogeneous dynamics of the three dimensional Coulomb glass out of equilibrium: The non-equilibrium relaxational properties of a three dimensional Coulomb glass model are investigated by kinetic Monte Carlo simulations. Our results suggest a transition from stationary to non-stationary dynamics at the equilibrium g...
cond-mat_dis-nn
Random transverse-field Ising chain with long-range interactions: We study the low-energy properties of the long-range random transverse-field Ising chain with ferromagnetic interactions decaying as a power alpha of the distance. Using variants of the strong-disorder renormalization group method, the critical behavior ...
cond-mat_dis-nn
Localization properties of the asymptotic density distribution of a one-dimensional disordered system: Anderson localization is the ubiquitous phenomenon of inhibition of transport of classical and quantum waves in a disordered medium. In dimension one, it is well known that all states are localized, implying that th...
cond-mat_dis-nn
Correlation length of the two-dimensional Ising spin glass with bimodal interactions: We study the correlation length of the two-dimensional Edwards-Anderson Ising spin glass with bimodal interactions using a combination of parallel tempering Monte Carlo and a rejection-free cluster algorithm in order to speed up equ...
cond-mat_dis-nn
Memories of initial states and density imbalance in dynamics of interacting disordered systems: We study the dynamics of one and two dimensional disordered lattice bosons/fermions initialized to a Fock state with a pattern of $1$ and $0$ particles on $A$ and ${\bar A}$ sites. For non-interacting systems we establish ...
cond-mat_dis-nn
Resonant metallic states in driven quasiperiodic lattices: We consider a quasiperiodic Aubry-Andre (AA) model and add a weak time-periodic and spatially quasiperiodic perturbation. The undriven AA model is chosen to be well in the insulating regime. The spatial quasiperiodic perturbation extends the model into two dime...
cond-mat_dis-nn
Method to solve quantum few-body problems with artificial neural networks: A machine learning technique to obtain the ground states of quantum few-body systems using artificial neural networks is developed. Bosons in continuous space are considered and a neural network is optimized in such a way that when particle po...
cond-mat_dis-nn
Evidence for existence of many pure ground states in 3d $\pm J$ Spin Glasses: Ground states of 3d EA Ising spin glasses are calculated for sizes up to $14^3$ using a combination of genetic algorithms and cluster-exact approximation . The distribution $P(|q|)$ of overlaps is calculated. For increasing size the width o...
cond-mat_dis-nn
The number of guards needed by a museum: A phase transition in vertex covering of random graphs: In this letter we study the NP-complete vertex cover problem on finite connectivity random graphs. When the allowed size of the cover set is decreased, a discontinuous transition in solvability and typical-case complexity...
cond-mat_dis-nn
Testing a Variational Approach to Random Directed Polymers: The one dimensional direct polymer in random media model is investigated using a variational approach in the replica space. We demonstrate numerically that the stable point is a maximum and the corresponding statistical properties for the delta correlated pote...
cond-mat_dis-nn
Comment on "Disorder Induced Quantum Phase Transition in Random-Exchange Spin-1/2 Chains": We reconsider the random bond antiferromagnetic spin-1/2 chain for weak disorder and demonstrate the existence of crossover length scale x_W that diverges with decreasing strength of the disorder. Recent DMRG calculations [Phys...
cond-mat_dis-nn
Atomic level structure of Ge-Sb-S glasses: chemical short range order and long Sb-S bonds: The structure of Ge$_{20}$Sb$_{10}$S$_{70}$, Ge$_{23}$Sb$_{12}$S$_{65}$ and Ge$_{26}$Sb$_{13}$S$_{61}$ glasses was investigated by neutron diffraction (ND), X-ray diffraction (XRD), extended X-ray absorption fine structure (EXA...
cond-mat_dis-nn
Polaritons in 2D-crystals and localized modes in narrow waveguides: We study 2D-polaritons in an atomically thin dipole-active layer (2D-crystal) placed inside a parallel-plate wavegude, and investigate the possibility to obtain the localized wavegude modes associated with atomic defects. Considering the wavegude width...
cond-mat_dis-nn
Mean Field Theory of the Three-Dimensional Dipole Superspin Glasses: We study the three-dimensional system of magnetic nanoparticle dipoles randomly oriented along quenched easy axes. Directions of the magnetic momenta are described by the Ising variables which allow the momenta to flip along their random orientations....
cond-mat_dis-nn
Tunneling and Non-Universality in Continuum Percolation Systems: The values obtained experimentally for the conductivity critical exponent in numerous percolation systems, in which the interparticle conduction is by tunnelling, were found to be in the range of $t_0$ and about $t_0+10$, where $t_0$ is the universal cond...
cond-mat_dis-nn
Origin of the computational hardness for learning with binary synapses: Supervised learning in a binary perceptron is able to classify an extensive number of random patterns by a proper assignment of binary synaptic weights. However, to find such assignments in practice, is quite a nontrivial task. The relation between...
cond-mat_dis-nn
Scaling hypothesis for the Euclidean bipartite matching problem II. Correlation functions: We analyze the random Euclidean bipartite matching problem on the hypertorus in $d$ dimensions with quadratic cost and we derive the two--point correlation function for the optimal matching, using a proper ansatz introduced by ...
cond-mat_dis-nn
Hidden dimers and the matrix maps: Fibonacci chains re-visited: The existence of cycles of the matrix maps in Fibonacci class of lattices is well established. We show that such cycles are intimately connected with the presence of interesting positional correlations among the constituent `atoms' in a one dimensional qua...
cond-mat_dis-nn
Numerical Solution-Space Analysis of Satisfiability Problems: The solution-space structure of the 3-Satisfiability Problem (3-SAT) is studied as a function of the control parameter alpha (ratio of number of clauses to the number of variables) using numerical simulations. For this purpose, one has to sample the solution...
cond-mat_dis-nn
Spatio-temporal correlations in Wigner molecules: The dynamical response of Coulomb-interacting particles in nano-clusters are analyzed at different temperatures characterizing their solid- and liquid-like behavior. Depending on the trap-symmetry, both the spatial and temporal correlations undergo slow, stretched expon...
cond-mat_dis-nn
Anisotropic Magnetoconductance in Quench-Condensed Ultrathin Beryllium Films: Near the superconductor-insulator (S-I) transition, quench-condensed ultrathin Be films show a large magnetoconductance which is highly anisotropic in the direction of the applied field. Film conductance can drop as much as seven orders of ...
cond-mat_dis-nn
Short-range Magnetic interactions in the Spin-Ice compound Ho$_{2}$Ti$_{2}$O$_{7}$: Magnetization and susceptibility studies on single crystals of the pyrochlore Ho$_{2}$Ti$_{2}$O$_{7}$ are reported for the first time. Magnetization isotherms are shown to be qualitatively similar to that predicted by the nearest neig...
cond-mat_dis-nn
Chaos in Glassy Systems from a TAP Perspective: We discuss level crossing of the free-energy of TAP solutions under variations of external parameters such as magnetic field or temperature in mean-field spin-glass models that exhibit one-step Replica-Symmetry-Breaking (1RSB). We study the problem through a generalized c...
cond-mat_dis-nn
Modified spin-wave study of random antiferromagnetic-ferromagnetic spin chains: We study the thermodynamics of one-dimensional quantum spin-1/2 Heisenberg ferromagnetic system with random antiferromagnetic impurity bonds. In the dilute impurity limit, we generalize the modified spin-wave theory for random spin chains...
cond-mat_dis-nn
Spin-Glass Phase in the Random Temperature Ising Ferromagnet: In this paper we study the phase diagram of the disordered Ising ferromagnet. Within the framework of the Gaussian variational approximation it is shown that in systems with a finite value of the disorder in dimensions D=4 and D < 4 the paramagnetic and ferr...
cond-mat_dis-nn
Phase transitions induced by microscopic disorder: a study based on the order parameter expansion: Based on the order parameter expansion, we present an approximate method which allows us to reduce large systems of coupled differential equations with diverse parameters to three equations: one for the global, mean fie...
cond-mat_dis-nn
Are Mean-Field Spin-Glass Models Relevant for the Structural Glass Transition?: We analyze the properties of the energy landscape of {\it finite-size} fully connected p-spin-like models whose high temperature phase is described, in the thermodynamic limit, by the schematic Mode Coupling Theory of super-cooled liquids...
cond-mat_dis-nn
Curie Temperature for Small World Ising Systems of Different Dimensions: For Small World Ising systems of different dimensions, "concentration" dependencies T_C(p) of the Curie temperature upon the fraction p of long-range links have been derived on a basis of simple physical considerations. We have found T_C(p) ~ 1/ln...
cond-mat_dis-nn
The Centred Traveling Salesman at Finite Temperature: A recently formulated statistical mechanics method is used to study the phase transition occurring in a generalisation of the Traveling Salesman Problem (TSP) known as the centred TSP. The method shows that the problem has clear signs of a crossover, but is only abl...
cond-mat_dis-nn
Fluctuations analysis in complex networks modeled by hidden variable models. Necessity of a large cut-off in hidden-variable models: It is becoming more and more clear that complex networks present remarkable large fluctuations. These fluctuations may manifest differently according to the given model. In this paper w...
cond-mat_dis-nn
Critical dynamics of the k-core pruning process: We present the theory of the k-core pruning process (progressive removal of nodes with degree less than k) in uncorrelated random networks. We derive exact equations describing this process and the evolution of the network structure, and solve them numerically and, in th...
cond-mat_dis-nn
Effects of substrate network topologies on competition dynamics: We study a competition dynamics, based on the minority game, endowed with various substrate network structures. We observe the effects of the network topologies by investigating the volatility of the system and the structure of follower networks. The topo...
cond-mat_dis-nn
The Physics of Living Neural Networks: Improvements in technique in conjunction with an evolution of the theoretical and conceptual approach to neuronal networks provide a new perspective on living neurons in culture. Organization and connectivity are being measured quantitatively along with other physical quantities s...
cond-mat_dis-nn
Statistical Mechanics of the Bayesian Image Restoration under Spatially Correlated Noise: We investigated the use of the Bayesian inference to restore noise-degraded images under conditions of spatially correlated noise. The generative statistical models used for the original image and the noise were assumed to obey ...
cond-mat_dis-nn
Interpolating between boolean and extremely high noisy patterns through Minimal Dense Associative Memories: Recently, Hopfield and Krotov introduced the concept of {\em dense associative memories} [DAM] (close to spin-glasses with $P$-wise interactions in a disordered statistical mechanical jargon): they proved a num...
cond-mat_dis-nn
Analytic Solution to Clustering Coefficients on Weighted Networks: Clustering coefficient is an important topological feature of complex networks. It is, however, an open question to give out its analytic expression on weighted networks yet. Here we applied an extended mean-field approach to investigate clustering coef...
cond-mat_dis-nn
Direct topological insulator transitions in three dimensions are destabilized by non-perturbative effects of disorder: We reconsider the phase diagram of a three-dimensional $\mathbb{Z}_2$ topological insulator in the presence of short-ranged potential disorder with the insight that non-perturbative rare states desta...
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
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
Properties of equilibria and glassy phases of the random Lotka-Volterra model with demographic noise: In this letter we study a reference model in theoretical ecology, the disordered Lotka-Volterra model for ecological communities, in the presence of finite demographic noise. Our theoretical analysis, which takes adv...
cond-mat_dis-nn
Weakly driven anomalous diffusion in non-ergodic regime: an analytical solution: We derive the probability density of a diffusion process generated by nonergodic velocity fluctuations in presence of a weak potential, using the Liouville equation approach. The velocity of the diffusing particle undergoes dichotomic fl...
cond-mat_dis-nn
Study of off-diagonal disorder using the typical medium dynamical cluster approximation: We generalize the typical medium dynamical cluster approximation (TMDCA) and the local Blackman, Esterling, and Berk (BEB) method for systems with off-diagonal disorder. Using our extended formalism we perform a systematic study ...
cond-mat_dis-nn
Coherent Umklapp Scattering of Light from Disordered Photonic Crystals: A theoretical study of the coherent light scattering from disordered photonic crystal is presented. In addition to the conventional enhancement of the reflected light intensity into the backscattering direction, the so called coherent backscatterin...
cond-mat_dis-nn
Multi-overlap simulations of spin glasses: We present results of recent high-statistics Monte Carlo simulations of the Edwards-Anderson Ising spin-glass model in three and four dimensions. The study is based on a non-Boltzmann sampling technique, the multi-overlap algorithm which is specifically tailored for sampling r...
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Eigenvalue Distribution In The Self-Dual Non-Hermitian Ensemble: We consider an ensemble of self-dual matrices with arbitrary complex entries. This ensemble is closely related to a previously defined ensemble of anti-symmetric matrices with arbitrary complex entries. We study the two-level correlation functions numeric...
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Temperature-Dependent Defect Dynamics in the Network Glass SiO2: We investigate the long time dynamics of a strong glass former, SiO2, below the glass transition temperature by averaging single particle trajectories over time windows which comprise roughly 100 particle oscillations. The structure on this coarse-grained...
cond-mat_dis-nn
Frustration and sound attenuation in structural glasses: Three classes of harmonic disorder systems (Lennard-Jones like glasses, percolators above threshold, and spring disordered lattices) have been numerically investigated in order to clarify the effect of different types of disorder on the mechanism of high frequenc...
cond-mat_dis-nn
Rotation Diffusion as an Additional Mechanism of Energy Dissipation in Polymer Melts: The research is important for a molecular theory of liquid and has a wide interest as an example solving the problem when dynamic parameters of systems can be indirectly connected with their equilibrium properties. In frameworks of ...
cond-mat_dis-nn
Disorder-Induced Vibrational Localization: The vibrational equivalent of the Anderson tight-binding Hamiltonian has been studied, with particular focus on the properties of the eigenstates at the transition from extended to localized states. The critical energy has been found approximately for several degrees of force-...
cond-mat_dis-nn
Signs of low frequency dispersions in disordered binary dielectric mixtures (50-50): Dielectric relaxation in disordered dielectric mixtures are presented by emphasizing the interfacial polarization. The obtained results coincide with and cause confusion with those of the low frequency dispersion behavior. The consid...
cond-mat_dis-nn