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Hyperscaling breakdown and Ising Spin Glasses: the Binder cumulant: Among the Renormalization Group Theory scaling rules relating critical exponents, there are hyperscaling rules involving the dimension of the system. It is well known that in Ising models hyperscaling breaks down above the upper critical dimension. It ...
cond-mat_dis-nn
Closed-Form Density of States and Localization Length for a Non-Hermitian Disordered System: We calculate the Lyapunov exponent for the non-Hermitian Zakharov-Shabat eigenvalue problem corresponding to the attractive non-linear Schroedinger equation with a Gaussian random pulse as initial value function. Using an ext...
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Intrinsic versus super-rough anomalous scaling in spontaneous imbibition: We study spontaneous imbibition using a phase field model in a two dimensional system with a dichotomic quenched noise. By imposing a constant pressure $\mu_{a}<0$ at the origin, we study the case when the interface advances at low velocities, ob...
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Spatial Structures of Anomalously Localized States in Tail Regions at the Anderson Transition: We study spatial structures of anomalously localized states (ALS) in tail regions at the critical point of the Anderson transition in the two-dimensional symplectic class. In order to examine tail structures of ALS, we appl...
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Persistence of chirality in the Su-Schrieffer-Heeger model in the presence of on-site disorder: We consider the effects of on-site and hopping disorder on zero modes in the Su-Schrieffer-Heeger model. In the absence of disorder a domain wall gives rise to two chiral fractionalized bound states, one at the edge and on...
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Far-from-equilibrium criticality in the Random Field Ising Model with Eshelby Interactions: We study a quasi-statically driven random field Ising model (RFIM) at zero temperature with interactions mediated by the long-range anisotropic Eshelby kernel. Analogously to amorphous solids at their yielding transition, and ...
cond-mat_dis-nn
Non-Hermitian disorder in two-dimensional optical lattices: In this paper, we study the properties of two-dimensional lattices in the presence of non-Hermitian disorder. In the context of coupled mode theory, we consider random gain-loss distributions on every waveguide channel (on site disorder). Our work provides a s...
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Energy distribution of maxima and minima in a one-dimensional random system: We study the energy distribution of maxima and minima of a simple one-dimensional disordered Hamiltonian. We find that in systems with short range correlated disorder there is energy separation between maxima and minima, such that at fixed e...
cond-mat_dis-nn
Monte Carlo Simulations of Doped, Diluted Magnetic Semiconductors - a System with Two Length Scales: We describe a Monte Carlo simulation study of the magnetic phase diagram of diluted magnetic semiconductors doped with shallow impurities in the low concentration regime. We show that because of a wide distribution of...
cond-mat_dis-nn
Reply to Shvaika et al.: Presence of a boson peak in anharmonic phonon models with Akhiezer-type damping: We reply to the Comment by Svhaika, Ruocco, Schirmacher and collaborators. There were two accidental mistakes in our original paper (Phys. Rev. Lett. 112, 145501 (2019)), which have been now corrected. All the ph...
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Analytical Approach to Noise Effects on Synchronization in a System of Coupled Excitable Elements: We report relationships between the effects of noise and applied constant currents on the behavior of a system of excitable elements. The analytical approach based on the nonlinear Fokker-Planck equation of a mean-field...
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On the Nature of Localization in Ti doped Si: Intermediate band semiconductors hold the promise to significantly improve the efficiency of solar cells, but only if the intermediate impurity band is metallic. We apply a recently developed first principles method to investigate the origin of electron localization in Ti d...
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Inner Structure of Many-Body Localization Transition and Fulfillment of Harris Criterion: We treat disordered Heisenberg model in 1D as the "standard model" of many-body localization (MBL). Two independent order parameters stemming purely from the half-chain von Neumann entanglement entropy $S_{\textrm{vN}}$ are intr...
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Generalized multifractality at the spin quantum Hall transition: Percolation mapping and pure-scaling observables: This work extends the analysis of the generalized multifractality of critical eigenstates at the spin quantum Hall transition in two-dimensional disordered superconductors [J. F. Karcher et al, Annals of...
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Random Dirac Fermions and Non-Hermitian Quantum Mechanics: We study the influence of a strong imaginary vector potential on the quantum mechanics of particles confined to a two-dimensional plane and propagating in a random impurity potential. We show that the wavefunctions of the non-Hermitian operator can be obtained ...
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Effect of coupling asymmetry on mean-field solutions of direct and inverse Sherrington-Kirkpatrick model: We study how the degree of symmetry in the couplings influences the performance of three mean field methods used for solving the direct and inverse problems for generalized Sherrington-Kirkpatrick models. In this...
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Flat band states: disorder and nonlinearity: We study the critical behaviour of Anderson localized modes near intersecting flat and dispersive bands in the quasi-one-dimensional diamond ladder with weak diagonal disorder $W$. The localization length $\xi$ of the flat band states scales with disorder as $\xi \sim W^{-\g...
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Transition from localized to mean field behaviour of cascading failures in the fiber bundle model on complex networks: We study the failure process of fiber bundles on complex networks focusing on the effect of the degree of disorder of fibers' strength on the transition from localized to mean field behaviour. Starti...
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Anderson Localization on the Bethe Lattice using Cages and the Wegner Flow: Anderson localization on tree-like graphs such as the Bethe lattice, Cayley tree, or random regular graphs has attracted attention due to its apparent mathematical tractability, hypothesized connections to many-body localization, and the poss...
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Spurious self-feedback of mean-field predictions inflates infection curves: The susceptible-infected-recovered (SIR) model and its variants form the foundation of our understanding of the spread of diseases. Here, each agent can be in one of three states (susceptible, infected, or recovered), and transitions between ...
cond-mat_dis-nn
Critical synchronization dynamics of the Kuramoto model on connectome and small world graphs: The hypothesis, that cortical dynamics operates near criticality also suggests, that it exhibits universal critical exponents which marks the Kuramoto equation, a fundamental model for synchronization, as a prime candidate f...
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Critical Percolation Without Fine Tuning on the Surface of a Topological Superconductor: We present numerical evidence that most two-dimensional surface states of a bulk topological superconductor (TSC) sit at an integer quantum Hall plateau transition. We study TSC surface states in class CI with quenched disorder. ...
cond-mat_dis-nn
The number of matchings in random graphs: We study matchings on sparse random graphs by means of the cavity method. We first show how the method reproduces several known results about maximum and perfect matchings in regular and Erdos-Renyi random graphs. Our main new result is the computation of the entropy, i.e. the ...
cond-mat_dis-nn
Non-trivial fixed point structure of the two-dimensional +-J 3-state Potts ferromagnet/spin glass: The fixed point structure of the 2D 3-state random-bond Potts model with a bimodal ($\pm$J) distribution of couplings is for the first time fully determined using numerical renormalization group techniques. Apart from t...
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Retrieval and Chaos in Extremely Diluted Non-Monotonic Neural Networks: We discuss, in this paper, the dynamical properties of extremely diluted, non-monotonic neural networks. Assuming parallel updating and the Hebb prescription for the synaptic connections, a flow equation for the macroscopic overlap is derived. A ri...
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Spin glass induced by infinitesimal disorder in geometrically frustrated kagome lattice: We propose a method to study the magnetic properties of a disordered Ising kagome lattice. The model considers small spin clusters with infinite-range disordered couplings and short-range ferromagnetic (FE) or antiferromagnetic i...
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Wave Transport in disordered waveguides: closed channel contributions and the coherent and diffuse fields: We study the wave transport through a disordered system inside a waveguide. The expectation value of the complex reflection and transmission coefficients (the coherent fields) as well as the transmittance and re...
cond-mat_dis-nn
How to predict critical state: Invariance of Lyapunov exponent in dual spaces: The critical state in disordered systems, a fascinating and subtle eigenstate, has attracted a lot of research interest. However, the nature of the critical state is difficult to describe quantitatively. Most of the studies focus on numeri...
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Stability of networks of delay-coupled delay oscillators: Dynamical networks with time delays can pose a considerable challenge for mathematical analysis. Here, we extend the approach of generalized modeling to investigate the stability of large networks of delay-coupled delay oscillators. When the local dynamical stab...
cond-mat_dis-nn
Evidence for the double degeneracy of the ground-state in the 3D $\pm J$ spin glass: A bivariate version of the multicanonical Monte Carlo method and its application to the simulation of the three-dimensional $\pm J$ Ising spin glass are described. We found the autocorrelation time associated with this particular mul...
cond-mat_dis-nn
Comment on "Collective modes and gapped momentum states in liquid Ga: Experiment, theory, and simulation": We show that the presented in Phys.Rev.B, v.101, 214312 (2020) theoretical expressions for longitudinal current spectral function $C^L(k,\omega)$ and dispersion of collective excitations are not correct. Indeed,...
cond-mat_dis-nn
Finite-time Singularities in Surface-Diffusion Instabilities are Cured by Plasticity: A free material surface which supports surface diffusion becomes unstable when put under external non-hydrostatic stress. Since the chemical potential on a stressed surface is larger inside an indentation, small shape fluctuations d...
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Transport of multiple users in complex networks: We study the transport properties of model networks such as scale-free and Erd\H{o}s-R\'{e}nyi networks as well as a real network. We consider the conductance $G$ between two arbitrarily chosen nodes where each link has the same unit resistance. Our theoretical analysis ...
cond-mat_dis-nn
Stability of critical behaviour of weakly disordered systems with respect to the replica symmetry breaking: A field-theoretic description of the critical behaviour of the weakly disordered systems is given. Directly, for three- and two-dimensional systems a renormalization analysis of the effective Hamiltonian of mod...
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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
Observation of infinite-range intensity correlations above, at and below the 3D Anderson localization transition: We investigate long-range intensity correlations on both sides of the Anderson transition of classical waves in a three-dimensional (3D) disordered material. Our ultrasonic experiments are designed to una...
cond-mat_dis-nn
Challenges and opportunities in the supervised learning of quantum circuit outputs: Recently, deep neural networks have proven capable of predicting some output properties of relevant random quantum circuits, indicating a strategy to emulate quantum computers alternative to direct simulation methods such as, e.g., te...
cond-mat_dis-nn
Stability of a neural network model with small-world connections: Small-world networks are highly clustered networks with small distances among the nodes. There are many biological neural networks that present this kind of connections. There are no special weightings in the connections of most existing small-world netw...
cond-mat_dis-nn
Numerical Simulations of Random Phase Sine-Gordon Model and Renormalization Group Predictions: Numerical Simulations of the random phase sine-Gordon model suffer from strong finite size effects preventing the non-Gaussian $\log^2 r$ component of the spatial correlator from following the universal infinite volume pred...
cond-mat_dis-nn
Localization properties of the sparse Barrat-Mézard trap model: Inspired by works on the Anderson model on sparse graphs, we devise a method to analyze the localization properties of sparse systems that may be solved using cavity theory. We apply this method to study the properties of the eigenvectors of the master ope...
cond-mat_dis-nn
A dedicated algorithm for calculating ground states for the triangular random bond Ising model: In the presented article we present an algorithm for the computation of ground state spin configurations for the 2d random bond Ising model on planar triangular lattice graphs. Therefore, it is explained how the respective...
cond-mat_dis-nn
Distribution of shortest cycle lengths in random networks: We present analytical results for the distribution of shortest cycle lengths (DSCL) in random networks. The approach is based on the relation between the DSCL and the distribution of shortest path lengths (DSPL). We apply this approach to configuration model ne...
cond-mat_dis-nn
Low Temperature Behavior of the Thermopower in Disordered Systems near the Anderson Transition: We investigate the behavior of the thermoelectric power [S] in disordered systems close to the Anderson-type metal-insulator transition [MIT] at low temperatures. In the literature, we find contradictory results for S. It ...
cond-mat_dis-nn
Chemical potential in disordered organic materials: Charge carrier mobility in disordered organic materials is being actively studied, motivated by several applications such as organic light emitting diodes and organic field-effect transistors. It is known that the mobility in disordered organic materials depends on th...
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The perturbative structure of spin glass field theory: Cubic replicated field theory is used to study the glassy phase of the short-range Ising spin glass just below the transition temperature, and for systems above, at, and slightly below the upper critical dimension six. The order parameter function is computed up to...
cond-mat_dis-nn
A FDR-preserving field theory for interacting Brownian particles: one-loop theory and MCT: We develop a field theoretical treatment of a model of interacting Brownian particles. We pay particular attention to the requirement of the time reversal invariance and the fluctuation-dissipation relationship (FDR). The metho...
cond-mat_dis-nn
On calculation of effective conductivity of inhomogeneous metals: In the framework of the perturbation theory an expression suitable for calculation of the effective conductivity of 3-D inhomogeneous metals is derived. Formally, the final expression is an exact result, however, a function written as a perturbation seri...
cond-mat_dis-nn
Comment on "Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks": In their recent preprint [arXiv:2108.07893v1], S. Panahi, N. Amaya, I. Klickstein, G. Novello, and F. Sorrentino tested the simultaneous block diagonalization (SBD) technique on...
cond-mat_dis-nn
Molecular dynamics simulation of aging in amorphous silica: By means of molecular dynamics simulations we examine the aging process of a strong glass former, a silica melt modeled by the BKS potential. The system is quenched from a temperature above to one below the critical temperature, and the potential energy and th...
cond-mat_dis-nn
Critical dynamics on a large human Open Connectome network: Extended numerical simulations of threshold models have been performed on a human brain network with N=836733 connected nodes available from the Open Connectome project. While in case of simple threshold models a sharp discontinuous phase transition without an...
cond-mat_dis-nn
Classical Representation of the 1D Anderson Model: A new approach is applied to the 1D Anderson model by making use of a two-dimensional Hamiltonian map. For a weak disorder this approach allows for a simple derivation of correct expressions for the localization length both at the center and at the edge of the energy b...
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Comment on "Critical point scaling of Ising spin glasses in a magnetic field" by J. Yeo and M.A. Moore: In a section of a recent publication, [J. Yeo and M.A. Moore, Phys. Rev. B 91, 104432 (2015)], the authors discuss some of the arguments in the paper by Parisi and Temesv\'ari [Nuclear Physics B 858, 293 (2012)]. I...
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The Anderson transition: time reversal symmetry and universality: We report a finite size scaling study of the Anderson transition. Different scaling functions and different values for the critical exponent have been found, consistent with the existence of the orthogonal and unitary universality classes which occur in ...
cond-mat_dis-nn
Pure scaling operators at the integer quantum Hall plateau transition: Stationary wave functions at the transition between plateaus of the integer quantum Hall effect are known to exhibit multi-fractal statistics. Here we explore this critical behavior for the case of scattering states of the Chalker-Coddington model w...
cond-mat_dis-nn
Field theory for amorphous solids: Glasses at low temperature fluctuate around their inherent states; glassy anomalies reflect the structure of these states. Recently there have been numerous observations of long-range stress correlations in glassy materials, from supercooled liquids to colloids and granular materials,...
cond-mat_dis-nn
Metallic phase of disordered graphene superlattices with long-range correlations: Using the transfer matrix method, we study the conductance of the chiral particles through a monolayer graphene superlattice with long-range correlated disorder distributed on the potential of the barriers. Even though the transmission ...
cond-mat_dis-nn
Well-mixed Lotka-Volterra model with random strongly competitive interactions: The random Lotka-Volterra model is widely used to describe the dynamical and thermodynamic features of ecological communities. In this work, we consider random symmetric interactions between species and analyze the strongly competitive int...
cond-mat_dis-nn
Critical parameters for the disorder-induced metal-insulator transition in FCC and BCC lattices: We use a transfer-matrix method to study the disorder-induced metal-insulator transition. We take isotropic nearest- neighbor hopping and an onsite potential with uniformly distributed disorder. Following previous work do...
cond-mat_dis-nn
Optimal fluctuation approach to a directed polymer in a random medium: A modification of the optimal fluctuation approach is applied to study the tails of the free energy distribution function P(F) for an elastic string in quenched disorder both in the regions of the universal behavior of P(F) and in the regions of lar...
cond-mat_dis-nn
Critical parameters for the disorder-induced metal-insulator transition in FCC and BCC lattices: We use a transfer-matrix method to study the disorder-induced metal-insulator transition. We take isotropic nearest- neighbor hopping and an onsite potential with uniformly distributed disorder. Following previous work do...
cond-mat_dis-nn
Percolation theory applied to measures of fragmentation in social networks: We apply percolation theory to a recently proposed measure of fragmentation $F$ for social networks. The measure $F$ is defined as the ratio between the number of pairs of nodes that are not connected in the fragmented network after removing ...
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
Irreversible Opinion Spreading on Scale-Free Networks: We study the dynamical and critical behavior of a model for irreversible opinion spreading on Barab\'asi-Albert (BA) scale-free networks by performing extensive Monte Carlo simulations. The opinion spreading within an inhomogeneous society is investigated by means ...
cond-mat_dis-nn
Universal Sound Absorption in Amorphous Solids: A Theory of Elastically Coupled Generic Blocks: Glasses are known to exhibit quantitative universalities at low temperatures, the most striking of which is the ultrasonic attenuation coefficient 1/Q. In this work we develop a theory of coupled generic blocks with a cert...
cond-mat_dis-nn
Speeding protein folding beyond the Go model: How a little frustration sometimes helps: Perturbing a Go model towards a realistic protein Hamiltonian by adding non-native interactions, we find that the folding rate is in general enhanced as ruggedness is initially increased, as long as the protein is sufficiently lar...
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Imaginary replica analysis of loopy regular random graphs: We present an analytical approach for describing spectrally constrained maximum entropy ensembles of finitely connected regular loopy graphs, valid in the regime of weak loop-loop interactions. We derive an expression for the leading two orders of the expected ...
cond-mat_dis-nn
Comparison of Gabay-Toulouse and de Almeida-Thouless instabilities for the spin glass XY model in a field on sparse random graphs: Vector spin glasses are known to show two different kinds of phase transitions in presence of an external field: the so-called de Almeida-Thouless and Gabay-Toulouse lines. While the form...
cond-mat_dis-nn
Distribution of the delay time and the dwell time for wave reflection from a long random potential: We re-examine and correct an earlier derivation of the distribution of the Wigner phase delay time for wave reflection from a long one-dimensional disordered conductor treated in the continuum limit. We then numericall...
cond-mat_dis-nn
Raman Scattering Due to Disorder-Induced Polaritons: The selection rules for dipole and Raman activity can be relaxed due to local distortion of a crystalline structure. In this situation a dipole-inactive mode can become simultaneously active in Raman scattering and in dipole interaction with the electromagnetic field...
cond-mat_dis-nn
Some Exact Results on the Ultrametric Overlap Distribution in Mean Field Spin Glass Models (I): The mean field spin glass model is analyzed by a combination of mathematically rigororous methods and a powerful Ansatz. The method exploited is general, and can be applied to others disordered mean field models such as, e...
cond-mat_dis-nn
Optimization by thermal cycling: Thermal cycling is an heuristic optimization algorithm which consists of cyclically heating and quenching by Metropolis and local search procedures, respectively, where the amplitude slowly decreases. In recent years, it has been successfully applied to two combinatorial optimization ta...
cond-mat_dis-nn
Ordering Behavior of the Two-Dimensional Ising Spin Glass with Long-Range Correlated Disorder: The standard two-dimensional Ising spin glass does not exhibit an ordered phase at finite temperature. Here, we investigate whether long-range correlated bonds change this behavior. The bonds are drawn from a Gaussian distr...
cond-mat_dis-nn
Coupling and Level Repulsion in the Localized Regime: From Isolated to Quasi-Extended Modes: We study the interaction of Anderson localized states in an open 1D random system by varying the internal structure of the sample. As the frequencies of two states come close, they are transformed into multiply-peaked quasi-e...
cond-mat_dis-nn
Absence of the non-percolating phase for percolation on the non-planar Hanoi network: We investigate bond percolation on the non-planar Hanoi network (HN-NP), which was studied in [Boettcher et al. Phys. Rev. E 80 (2009) 041115]. We calculate the fractal exponent of a subgraph of the HN-NP, which gives a lower bound ...
cond-mat_dis-nn
Neural evolution structure generation: High Entropy Alloys: We propose a method of neural evolution structures (NESs) combining artificial neural networks (ANNs) and evolutionary algorithms (EAs) to generate High Entropy Alloys (HEAs) structures. Our inverse design approach is based on pair distribution functions and a...
cond-mat_dis-nn
Anomalous Hall effect from a non-Hermitian viewpoint: Non-Hermitian descriptions often model open or driven systems away from the equilibrium. Nonetheless, in equilibrium electronic systems, a non-Hermitian nature of an effective Hamiltonian manifests itself as unconventional observables such as a bulk Fermi arc and sk...
cond-mat_dis-nn
Asymptotic Level Density of the Elastic Net Self-Organizing Feature Map: Whileas the Kohonen Self Organizing Map shows an asymptotic level density following a power law with a magnification exponent 2/3, it would be desired to have an exponent 1 in order to provide optimal mapping in the sense of information theory. In...
cond-mat_dis-nn
Dynamic relaxation of a liquid cavity under amorphous boundary conditions: The growth of cooperatively rearranging regions was invoked long ago by Adam and Gibbs to explain the slowing down of glass-forming liquids. The lack of knowledge about the nature of the growing order, though, complicates the definition of an ...
cond-mat_dis-nn
Phase diagram for the O(n) model with defects of "random local field" type and verity of the Imry-Ma theorem: It is shown that the Imry-Ma theorem stating that in space dimensions d<4 the introduction of an arbitrarily small concentration of defects of the "random local field" type in a system with continuous symmetr...
cond-mat_dis-nn
Cooperativity and Heterogeneity in Plastic Crystals Studied by Nonlinear Dielectric Spectroscopy: The glassy dynamics of plastic-crystalline cyclo-octanol and ortho-carborane, where only the molecular reorientational degrees of freedom freeze without long-range order, is investigated by nonlinear dielectric spectrosc...
cond-mat_dis-nn
Many-body localization proximity effect in two-species bosonic Hubbard model: The many-body localization (MBL) proximity effect is an intriguing phenomenon where a thermal bath localizes due to the interaction with a disordered system. The interplay of thermal and non-ergodic behavior in these systems gives rise to a...
cond-mat_dis-nn
Apparent power-law behavior of conductance in disordered quasi-one-dimensional systems: Dependence of hopping conductance on temperature and voltage for an ensemble of modestly long one-dimensional wires is studied numerically using the shortest-path algorithm. In a wide range of parameters this dependence can be app...
cond-mat_dis-nn
Clique percolation in random networks: The notion of k-clique percolation in random graphs is introduced, where k is the size of the complete subgraphs whose large scale organizations are analytically and numerically investigated. For the Erdos-Renyi graph of N vertices we obtain that the percolation transition of k-cl...
cond-mat_dis-nn
An improved Belief Propagation algorithm finds many Bethe states in the random field Ising model on random graphs: We first present an empirical study of the Belief Propagation (BP) algorithm, when run on the random field Ising model defined on random regular graphs in the zero temperature limit. We introduce the not...
cond-mat_dis-nn
Experimental Observation of a Fundamental Length Scale of Waves in Random Media: Waves propagating through a weakly scattering random medium show a pronounced branching of the flow accompanied by the formation of freak waves, i.e., extremely intense waves. Theory predicts that this strong fluctuation regime is accomp...
cond-mat_dis-nn
Optimization by thermal cycling: An optimization algorithm is presented which consists of cyclically heating and quenching by Metropolis and local search procedures, respectively. It works particularly well when it is applied to an archive of samples instead of to a single one. We demonstrate for the traveling salesman...
cond-mat_dis-nn
Floquet-Anderson localization in the Thouless pump and how to avoid it: We investigate numerically how onsite disorder affects conduction in the periodically driven Rice-Mele model, a prototypical realization of the Thouless pump. Although the pump is robust against disorder in the fully adiabatic limit, much less is k...
cond-mat_dis-nn
Creep and depinning in disordered media: Elastic systems driven in a disordered medium exhibit a depinning transition at zero temperature and a creep regime at finite temperature and slow drive $f$. We derive functional renormalization group equations which allow to describe in details the properties of the slowly movi...
cond-mat_dis-nn
Energy gaps in etched graphene nanoribbons: Transport measurements on an etched graphene nanoribbon are presented. It is shown that two distinct voltage scales can be experimentally extracted that characterize the parameter region of suppressed conductance at low charge density in the ribbon. One of them is related to ...
cond-mat_dis-nn
Delocalization of boundary states in disordered topological insulators: We use the method of bulk-boundary correspondence of topological invariants to show that disordered topological insulators have at least one delocalized state at their boundary at zero energy. Those insulators which do not have chiral (sublattice) ...
cond-mat_dis-nn
Critical eigenstates and their properties in one and two dimensional quasicrystals: We present exact solutions for some eigenstates of hopping models on one and two dimensional quasiperiodic tilings and show that they are "critical" states, by explicitly computing their multifractal spectra. These eigenstates are sho...
cond-mat_dis-nn
Field-induced structural aging in glasses at ultra low temperatures: In non-equilibrium experiments on the glasses Mylar and BK7, we measured the excess dielectric response after the temporary application of a strong electric bias field at mK--temperatures. A model recently developed describes the observed long time de...
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Ising Model Scaling Behaviour on z-Preserving Small-World Networks: We have investigated the anomalous scaling behaviour of the Ising model on small-world networks based on 2- and 3-dimensional lattices using Monte Carlo simulations. Our main result is that even at low $p$, the shift in the critical temperature $\Delta...
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Fragmentation of a circular disc by projectiles: The fragmentation of a two-dimensional circular disc by lateral impact is investigated using a cell model of brittle solid. The disc is composed of numerous unbreakable randomly shaped convex polygons connected together by simple elastic beams that break when bent or str...
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Direct Measurement of Random Fields in the $LiHo_xY_{1-x}F_4$ Crystal: The random field Ising model (RFIM) is central to the study of disordered systems. Yet, for a long time it eluded realization in ferromagnetic systems because of the difficulty to produce locally random magnetic fields. Recently it was shown that in...
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The Ising Spin Glass in dimension five: link overlaps: Extensive simulations are made of the link overlap in five dimensional Ising Spin Glasses (ISGs) through and below the ordering transition. Moments of the mean link overlap distributions (the kurtosis and the skewness) show clear critical maxima at the ISG ordering...
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Quantum exploration of high-dimensional canyon landscapes: Canyon landscapes in high dimension can be described as manifolds of small, but extensive dimension, immersed in a higher dimensional ambient space and characterized by a zero potential energy on the manifold. Here we consider the problem of a quantum particle ...
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Patterns of link reciprocity in directed networks: We address the problem of link reciprocity, the non-random presence of two mutual links between pairs of vertices. We propose a new measure of reciprocity that allows the ordering of networks according to their actual degree of correlation between mutual links. We find...
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Finite-Temperature Fluid-Insulator Transition of Strongly Interacting 1D Disordered Bosons: We consider the many-body localization-delocalization transition for strongly interacting one- dimensional disordered bosons and construct the full picture of finite temperature behavior of this system. This picture shows two ...
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Excess wing in glass-forming glycerol and LiCl-glycerol mixtures detected by neutron scattering: The relaxational dynamics in glass-forming glycerol and glycerol mixed with LiCl is in-vestigated using different neutron scattering techniques. The performed neutron spin-echo experiments, which extend up to relatively l...
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