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Optical computation of a spin glass dynamics with tunable complexity: Spin Glasses (SG) are paradigmatic models for physical, computer science, biological and social systems. The problem of studying the dynamics for SG models is NP hard, i.e., no algorithm solves it in polynomial time. Here we implement the optical sim...
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Eigenvalue spectra of large correlated random matrices: Using the diagrammatic method, we derive a set of self-consistent equations that describe eigenvalue distributions of large correlated asymmetric random matrices. The matrix elements can have different variances and be correlated with each other. The analytical re...
cond-mat_dis-nn
Absence of a structural glass phase in a monoatomic model liquid predicted to undergo an ideal glass transition: We study numerically a monodisperse model of interacting classical particles predicted to exhibit a static liquid-glass transition. Using a dynamical Monte Carlo method we show that the model does not free...
cond-mat_dis-nn
Localization of Electronic Wave Functions on Quasiperiodic Lattices: We study electronic eigenstates on quasiperiodic lattices using a tight-binding Hamiltonian in the vertex model. In particular, the two-dimensional Penrose tiling and the three-dimensional icosahedral Ammann-Kramer tiling are considered. Our main inte...
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...
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Influence of boundary conditions on level statistics and eigenstates at the metal insulator transition: We investigate the influence of the boundary conditions on the scale invariant critical level statistics at the metal insulator transition of disordered three-dimensional orthogonal and two-dimensional unitary and ...
cond-mat_dis-nn
Scaling Theory of Few-Particle Delocalization: We develop a scaling theory of interaction-induced delocalization of few-particle states in disordered quantum systems. In the absence of interactions, all single-particle states are localized in $d<3$, while in $d \geq 3$ there is a critical disorder below which states ar...
cond-mat_dis-nn
Water adsorption on amorphous silica surfaces: A Car-Parrinello simulation study: A combination of classical molecular dynamics (MD) and ab initio Car-Parrinello molecular dynamics (CPMD) simulations is used to investigate the adsorption of water on a free amorphous silica surface. From the classical MD SiO_2 configu...
cond-mat_dis-nn
A mesoscopic approach to subcritical fatigue crack growth: We investigate a model for fatigue crack growth in which damage accumulation is assumed to follow a power law of the local stress amplitude, a form which can be generically justified on the grounds of the approximately self-similar aspect of microcrack distribu...
cond-mat_dis-nn
Kinetic-growth self-avoiding walks on small-world networks: Kinetically-grown self-avoiding walks have been studied on Watts-Strogatz small-world networks, rewired from a two-dimensional square lattice. The maximum length L of this kind of walks is limited in regular lattices by an attrition effect, which gives finite ...
cond-mat_dis-nn
Critical behavior of the 2D Ising model with long-range correlated disorder: We study critical behavior of the diluted 2D Ising model in the presence of disorder correlations which decay algebraically with distance as $\sim r^{-a}$. Mapping the problem onto 2D Dirac fermions with correlated disorder we calculate the ...
cond-mat_dis-nn
Possible origin of $β$-relaxation in amorphous metal alloys from atomic-mass differences of the constituents: We employ an atomic-scale theory within the framework of nonaffine lattice dynamics to uncover the origin of the Johari-Goldstein (JG) $\beta$-relaxation in metallic glasses (MGs). Combining simulation and ex...
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Linear-scale simulations of quench dynamics: The accurate description and robust computational modeling of the nonequilibrium properties of quantum systems remain a challenge in condensed matter physics. In this work, we develop a linear-scale computational simulation technique for the non-equilibrium dynamics of quant...
cond-mat_dis-nn
Dielectric spectroscopy on aging glasses: In the present work, we provide further evidence for the applicability of a modified stretched-exponential behavior, proposed recently for the description of aging-time dependent data below the glass temperature [P. Lunkenheimer et al., Phys. Rev. Lett. 95 (2005) 055702]. We an...
cond-mat_dis-nn
Red shift of the superconductivity cavity resonance in Josephson junction qubits as a direct signature of TLS population inversion: Quantum two-level systems (TLSs) limit the performance of superconducting qubits and superconducting and optomechanical resonators breaking down the coherence and absorbing the energy of...
cond-mat_dis-nn
Comparing extremal and thermal Explorations of Energy Landscapes: Using a non-thermal local search, called Extremal Optimization (EO), in conjunction with a recently developed scheme for classifying the valley structure of complex systems, we analyze a short-range spin glass. In comparison with earlier studies using a ...
cond-mat_dis-nn
Ground State and Spin Glass Phase of the Large N Infinite Range Spin Glass Via Supersymmetry: The large N infinite range spin glass is considered, in particular the number of spin components k needed to form the ground state and the sample-to-sample fluctuations in the Lagrange multiplier field on each site. The phys...
cond-mat_dis-nn
Reentrant and Forward Phase Diagrams of the Anisotropic Three-Dimensional Ising Spin Glass: The spatially uniaxially anisotropic d=3 Ising spin glass is solved exactly on a hierarchical lattice. Five different ordered phases, namely ferromagnetic, columnar, layered, antiferromagnetic, and spin-glass phases, are found...
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The Gardner transition in finite dimensions: Recent works on hard spheres in the limit of infinite dimensions revealed that glass states, envisioned as meta-basins in configuration space, can break up in a multitude of separate basins at low enough temperature or high enough pressure, leading to the emergence of new ki...
cond-mat_dis-nn
Crossover from the chiral to the standard universality classes in the conductance of a quantum wire with random hopping only: The conductance of a quantum wire with off-diagonal disorder that preserves a sublattice symmetry (the random hopping problem with chiral symmetry) is considered. Transport at the band center ...
cond-mat_dis-nn
Universal frequency-dependent ac conductivity of conducting polymer networks: A model based on the aspect of the distribution of the length of conduction paths accessible for electric charge flow reproduces the universal power-law dispersive ac conductivity observed in polymer networks and, generally, in disordered m...
cond-mat_dis-nn
Revisiting the slow dynamics of a silica melt using Monte Carlo simulations: We implement a standard Monte Carlo algorithm to study the slow, equilibrium dynamics of a silica melt in a wide temperature regime, from 6100 K down to 2750 K. We find that the average dynamical behaviour of the system is in quantitative ag...
cond-mat_dis-nn
Nontrivial critical behavior of the free energy in the two-dimensional Ising spin glass with bimodal interactions: A detailed analysis of Monte Carlo data on the two-dimensional Ising spin glass with bimodal interactions shows that the free energy of the model has a nontrivial scaling. In particular, we show by study...
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Variant Monte Carlo algorithm for driven elastic strings in random media: We discuss the non-local Variant Monte Carlo algorithm which has been successfully employed in the study of driven elastic strings in disordered media at the depinning threshold. Here we prove two theorems, which establish that the algorithm sati...
cond-mat_dis-nn
Spike-Train Responses of a Pair of Hodgkin-Huxley Neurons with Time-Delayed Couplings: Model calculations have been performed on the spike-train response of a pair of Hodgkin-Huxley (HH) neurons coupled by recurrent excitatory-excitatory couplings with time delay. The coupled, excitable HH neurons are assumed to rece...
cond-mat_dis-nn
Mechanical Spectroscopy on Volcanic Glasses: Mechanical relaxation behaviour of various natural volcanic glasses have been investigated in the temperature range RT-1200K using special low frequency flexure (f~0.63Hz) pendulum experiments. The rheological properties complex Young's modulus M* and internal friction 1/Q h...
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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
Enhancement of the Magnetocaloric Effect in Geometrically Frustrated Cluster Spin Glass Systems: In this work, we theoretically demonstrate that a strong enhancement of the Magnetocaloric Effect is achieved in geometrically frustrated cluster spin-glass systems just above the freezing temperature. We consider a netwo...
cond-mat_dis-nn
Influence of synaptic interaction on firing synchronization and spike death in excitatory neuronal networks: We investigated the influence of efficacy of synaptic interaction on firing synchronization in excitatory neuronal networks. We found spike death phenomena, namely, the state of neurons transits from limit cyc...
cond-mat_dis-nn
Effect of dilution in asymmetric recurrent neural networks: We study with numerical simulation the possible limit behaviors of synchronous discrete-time deterministic recurrent neural networks composed of N binary neurons as a function of a network's level of dilution and asymmetry. The network dilution measures the fr...
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Heterogeneous diffusion, viscosity and the Stokes Einstein relation in binary liquids: We investigate the origin of the breakdown of the Stokes-Einstein relation (SER) between diffusivity and viscosity in undercooled melts. A binary Lennard-Jones system, as a model for a metallic melt, is studied by molecular dynamic...
cond-mat_dis-nn
Multitasking network with fast noise: We consider the multitasking associative network in the low-storage limit and we study its phase diagram with respect to the noise level $T$ and the degree $d$ of dilution in pattern entries. We find that the system is characterized by a rich variety of stable states, among which p...
cond-mat_dis-nn
Preferential attachment with information filtering - node degree probability distribution properties: A network growth mechanism based on a two-step preferential rule is investigated as a model of network growth in which no global knowledge of the network is required. In the first filtering step a subset of fixed siz...
cond-mat_dis-nn
Finite temperature phase transition for disordered weakly interacting bosons in one dimension: It is commonly accepted that there are no phase transitions in one-dimensional (1D) systems at a finite temperature, because long-range correlations are destroyed by thermal fluctuations. Here we demonstrate that the 1D gas...
cond-mat_dis-nn
Z(2) Gauge Neural Network and its Phase Structure: We study general phase structures of neural-network models that have Z(2) local gauge symmetry. The Z(2) spin variable Si = \pm1 on the i-th site describes a neuron state as in the Hopfield model, and the Z(2) gauge variable Jij = \pm1 describes a state of the synaptic...
cond-mat_dis-nn
Interacting particles at a metal-insulator transition: We study the influence of many-particle interaction in a system which, in the single particle case, exhibits a metal-insulator transition induced by a finite amount of onsite pontential fluctuations. Thereby, we consider the problem of interacting particles in the ...
cond-mat_dis-nn
Stability of the replica-symmetric solution in the off-diagonally-disordered Bose-Hubbard model: We study a disordered system of interacting bosons described by the Bose-Hubbard Hamiltonian with random tunneling amplitudes. We derive the condition for the stability of the replica-symmetric solution for this model. Fo...
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Phase transition for cutting-plane approach to vertex-cover problem: We study the vertex-cover problem which is an NP-hard optimization problem and a prototypical model exhibiting phase transitions on random graphs, e.g., Erdoes-Renyi (ER) random graphs. These phase transitions coincide with changes of the solution spa...
cond-mat_dis-nn
Intrinsic fluctuations in random lasers: We present a quantitative experimental and theoretical study of shot-to-shot intensity fluctuations in the emitted light of a random laser. A model that clarifies these intrinsic fluctuations is developed. We describe the output versus input power graphs of the random laser with...
cond-mat_dis-nn
Heat conduction and phonon localization in disordered harmonic crystals: We investigate the steady state heat current in two and three dimensional isotopically disordered harmonic lattices. Using localization theory as well as kinetic theory we estimate the system size dependence of the current. These estimates are com...
cond-mat_dis-nn
Physical realizability of small-world networks: Supplementing a lattice with long-range connections effectively models small-world networks characterized by a high local and global interconnectedness observed in systems ranging from society to the brain. If the links have a wiring cost associated to their length l, the...
cond-mat_dis-nn
The effect of asymmetric disorder on the diffusion in arbitrary networks: Considering diffusion in the presence of asymmetric disorder, an exact relationship between the strength of weak disorder and the electric resistance of the corresponding resistor network is revealed, which is valid in arbitrary networks. This im...
cond-mat_dis-nn
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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Retrieval Phase Diagrams of Non-monotonic Hopfield Networks: We investigate the retrieval phase diagrams of an asynchronous fully-connected attractor network with non-monotonic transfer function by means of a mean-field approximation. We find for the noiseless zero-temperature case that this non-monotonic Hopfield netw...
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Localization in 2D Quantum percolation: Quantum site percolation as a limiting case of binary alloy is studied numerically in 2D within the tight-binding model. We address the transport properties in all regimes - ballistic, diffusive (metallic), localized and crossover between the latter two. Special attention is give...
cond-mat_dis-nn
Response to Comment on "Super-universality in Anderson localization" arXiv:2210.10539v2: This is response to the recent comment arXiv:2210.10539v2 by I. Burmistrov.
cond-mat_dis-nn
Hysteresis and Avalanches in the Random Anisotropy Ising Model: The behaviour of the Random Anisotropy Ising model at T=0 under local relaxation dynamics is studied. The model includes a dominant ferromagnetic interaction and assumes an infinite anisotropy at each site along local anisotropy axes which are randomly ali...
cond-mat_dis-nn
Water adsorption on amorphous silica surfaces: A Car-Parrinello simulation study: A combination of classical molecular dynamics (MD) and ab initio Car-Parrinello molecular dynamics (CPMD) simulations is used to investigate the adsorption of water on a free amorphous silica surface. From the classical MD SiO_2 configu...
cond-mat_dis-nn
The random Blume-Capel model on cubic lattice: first order inverse freezing in a 3D spin-glass system: We present a numerical study of the Blume-Capel model with quenched disorder in 3D. The phase diagram is characterized by spin-glass/paramagnet phase transitions of both first and second order in the thermodynamic s...
cond-mat_dis-nn
A ferromagnet with a glass transition: We introduce a finite-connectivity ferromagnetic model with a three-spin interaction which has a crystalline (ferromagnetic) phase as well as a glass phase. The model is not frustrated, it has a ferromagnetic equilibrium phase at low temperature which is not reached dynamically in...
cond-mat_dis-nn
Transmission-eigenchannel velocity and diffusion: The diffusion model is used to calculate the time-averaged flow of particles in stochastic media and the propagation of waves averaged over ensembles of disordered static configurations. For classical waves exciting static disordered samples, such as a layer of paint or...
cond-mat_dis-nn
Improved field theoretical approach to noninteracting Brownian particles in a quenched random potential: We construct a dynamical field theory for noninteracting Brownian particles in the presence of a quenched Gaussian random potential. The main variable for the field theory is the density fluctuation which measures...
cond-mat_dis-nn
Sherrington-Kirkpatrick model near $T=T_c$: expanding around the Replica Symmetric Solution: An expansion for the free energy functional of the Sherrington-Kirkpatrick (SK) model, around the Replica Symmetric SK solution $Q^{({\rm RS})}_{ab} = \delta_{ab} + q(1-\delta_{ab})$ is investigated. In particular, when the e...
cond-mat_dis-nn
Percolation and jamming in random sequential adsorption of linear segments on square lattice: We present the results of study of random sequential adsorption of linear segments (needles) on sites of a square lattice. We show that the percolation threshold is a nonmonotonic function of the length of the adsorbed needl...
cond-mat_dis-nn
Strongly disordered spin ladders: The effect of quenched disorder on the low-energy properties of various antiferromagnetic spin ladder models is studied by a numerical strong disorder renormalization group method and by density matrix renormalization. For strong enough disorder the originally gapped phases with finite...
cond-mat_dis-nn
Hierarchical neural networks perform both serial and parallel processing: In this work we study a Hebbian neural network, where neurons are arranged according to a hierarchical architecture such that their couplings scale with their reciprocal distance. As a full statistical mechanics solution is not yet available, aft...
cond-mat_dis-nn
Quantum-Mechanically Induced Asymmetry in the Phase Diagrams of Spin-Glass Systems: The spin-1/2 quantum Heisenberg model is studied in all spatial dimensions d by renormalization-group theory. Strongly asymmetric phase diagrams in temperature and antiferromagnetic bond probability p are obtained in dimensions d \geq...
cond-mat_dis-nn
Real Space Renormalization Group Theory of Disordered Models of Glasses: We develop a real space renormalisation group analysis of disordered models of glasses, in particular of the spin models at the origin of the Random First Order Transition theory. We find three fixed points respectively associated to the liquid st...
cond-mat_dis-nn
Thermal conductance of one dimensional disordered harmonic chains: We study heat conduction mediated by longitudinal phonons in one dimensional disordered harmonic chains. Using scaling properties of the phonon density of states and localization in disordered systems, we find non-trivial scaling of the thermal conducta...
cond-mat_dis-nn
Quantitative analysis of a Schaffer collateral model: Advances in techniques for the formal analysis of neural networks have introduced the possibility of detailed quantitative analyses of brain circuitry. This paper applies a method for calculating mutual information to the analysis of the Schaffer collateral connecti...
cond-mat_dis-nn
Hexatic-Herringbone Coupling at the Hexatic Transition in Smectic Liquid Crystals: 4-$ε$ Renormalization Group Calculations Revisited: Simple symmetry considerations would suggest that the transition from the smectic-A phase to the long-range bond orientationally ordered hexatic smectic-B phase should belong to the X...
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Topological properties of hierarchical networks: Hierarchical networks are attracting a renewal interest for modelling the organization of a number of biological systems and for tackling the complexity of statistical mechanical models beyond mean-field limitations. Here we consider the Dyson hierarchical construction f...
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Statistics of anomalously localized states at the center of band E=0 in the one-dimensional Anderson localization model: We consider the distribution function $P(|\psi|^{2})$ of the eigenfunction amplitude at the center-of-band (E=0) anomaly in the one-dimensional tight-binding chain with weak uncorrelated on-site di...
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Anderson localization of one-dimensional hybrid particles: We solve the Anderson localization problem on a two-leg ladder by the Fokker-Planck equation approach. The solution is exact in the weak disorder limit at a fixed inter-chain coupling. The study is motivated by progress in investigating the hybrid particles suc...
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Routes towards Anderson-Like localization of Bose-Einstein condensates in disordered optical lattices: We investigate, both experimentally and theoretically, possible routes towards Anderson-like localization of Bose-Einstein condensates in disordered potentials. The dependence of this quantum interference effect on ...
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Slow Dynamics in a Two-Dimensional Anderson-Hubbard Model: We study the real-time dynamics of a two-dimensional Anderson--Hubbard model using nonequilibrium self-consistent perturbation theory within the second-Born approximation. When compared with exact diagonalization performed on small clusters, we demonstrate that...
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Ideal quantum glass transitions: many-body localization without quenched disorder: We explore the possibility for translationally invariant quantum many-body systems to undergo a dynamical glass transition, at which ergodicity and translational invariance break down spontaneously, driven entirely by quantum effects. ...
cond-mat_dis-nn
Origin of the Growing Length Scale in M-p-Spin Glass Models: Two versions of the M-p-spin glass model have been studied with the Migdal-Kadanoff renormalization group approximation. The model with p=3 and M=3 has at mean-field level the ideal glass transition at the Kauzmann temperature and at lower temperatures still ...
cond-mat_dis-nn
Absence of the diffusion pole in the Anderson insulator: We discuss conditions for the existence of the diffusion pole and its consequences in disordered noninteracting electron systems. Using only nonperturbative and exact arguments we find against expectations that the diffusion pole can exist only in the diffusive (...
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Scaling Law and Aging Phenomena in the Random Energy Model: We study the effect of temperature shift on aging phenomena in the Random Energy Model (REM). From calculation on the correlation function and simulation on the Zero-Field-Cooled magnetization, we find that the REM satisfies a scaling relation even if temperat...
cond-mat_dis-nn
Many-body localization of ${\mathbb Z}_3$ Fock parafermions: We study the effects of a random magnetic field on a one-dimensional (1D) spin-1 chain with {\it correlated} nearest-neighbor $XY$ interaction. We show that this spin model can be exactly mapped onto the 1D disordered tight-binding model of ${\mathbb Z}_3$ Fo...
cond-mat_dis-nn
Topological phases of amorphous matter: Topological phases of matter are often understood and predicted with the help of crystal symmetries, although they don't rely on them to exist. In this chapter we review how topological phases have been recently shown to emerge in amorphous systems. We summarize the properties of...
cond-mat_dis-nn
Conductance distribution in 1D systems: dependence on the Fermi level and the ideal leads: The correct definition of the conductance of finite systems implies a connection to the system of the massive ideal leads. Influence of the latter on the properties of the system appears to be rather essential and is studied be...
cond-mat_dis-nn
Spin glass behavior in a random Coulomb antiferromagnet: We study spin glass behavior in a random Ising Coulomb antiferromagnet in two and three dimensions using Monte Carlo simulations. In two dimensions, we find a transition at zero temperature with critical exponents consistent with those of the Edwards Anderson mod...
cond-mat_dis-nn
Laplacian Coarse Graining in Complex Networks: Complex networks can model a range of different systems, from the human brain to social connections. Some of those networks have a large number of nodes and links, making it impractical to analyze them directly. One strategy to simplify these systems is by creating miniatu...
cond-mat_dis-nn
Spatial correlations in the relaxation of the Kob-Andersen model: We describe spatio-temporal correlations and heterogeneities in a kinetically constrained glassy model, the Kob-Andersen model. The kinetic constraints of the model alone induce the existence of dynamic correlation lengths, that increase as the density $...
cond-mat_dis-nn
TASEP Exit Times: We address the question of the time needed by $N$ particles, initially located on the first sites of a finite 1D lattice of size $L$, to exit that lattice when they move according to a TASEP transport model. Using analytical calculations and numerical simulations, we show that when $N \ll L$, the mean...
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Out of equilibrium Phase Diagram of the Quantum Random Energy Model: In this paper we study the out-of-equilibrium phase diagram of the quantum version of Derrida's Random Energy Model, which is the simplest model of mean-field spin glasses. We interpret its corresponding quantum dynamics in Fock space as a one-particl...
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Hysteresis, Avalanches, and Noise: Numerical Methods: In studying the avalanches and noise in a model of hysteresis loops we have developed two relatively straightforward algorithms which have allowed us to study large systems efficiently. Our model is the random-field Ising model at zero temperature, with deterministi...
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Antagonistic interactions can stabilise fixed points in heterogeneous linear dynamical systems: We analyse the stability of large, linear dynamical systems of variables that interact through a fully connected random matrix and have inhomogeneous growth rates. We show that in the absence of correlations between the co...
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Navigating Networks with Limited Information: We study navigation with limited information in networks and demonstrate that many real-world networks have a structure which can be described as favoring communication at short distance at the cost of constraining communication at long distance. This feature, which is robu...
cond-mat_dis-nn
Systematic Series Expansions for Processes on Networks: We use series expansions to study dynamics of equilibrium and non-equilibrium systems on networks. This analytical method enables us to include detailed non-universal effects of the network structure. We show that even low order calculations produce results which ...
cond-mat_dis-nn
Interface fluctuations in disordered systems: Universality and non-Gaussian statistics: We employ a functional renormalization group to study interfaces in the presence of a pinning potential in $d=4-\epsilon$ dimensions. In contrast to a previous approach [D.S. Fisher, Phys. Rev. Lett. {\bf 56}, 1964 (1986)] we use ...
cond-mat_dis-nn
Dynamic Gardner crossover in a simple structural glass: The criticality of the jamming transition responsible for amorphous solidification has been theoretically linked to the marginal stability of a thermodynamic Gardner phase. While the critical exponents of jamming appear independent of the preparation history, the ...
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Optical response of electrons in a random potential: Using our recently developed Chebyshev expansion technique for finite-temperature dynamical correlation functions we numerically study the AC conductivity $\sigma(\omega)$ of the Anderson model on large cubic clusters of up to $100^3$ sites. Extending previous result...
cond-mat_dis-nn
Free energy landscapes, dynamics and the edge of chaos in mean-field models of spin glasses: Metastable states in Ising spin-glass models are studied by finding iterative solutions of mean-field equations for the local magnetizations. Two different equations are studied: the TAP equations which are exact for the SK m...
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Modular synchronization in complex networks with a gauge Kuramoto model: We modify the Kuramoto model for synchronization on complex networks by introducing a gauge term that depends on the edge betweenness centrality (BC). The gauge term introduces additional phase difference between two vertices from 0 to $\pi$ as th...
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Statistics of Resonances and Delay Times in Random Media: Beyond Random Matrix Theory: We review recent developments on quantum scattering from mesoscopic systems. Various spatial geometries whose closed analogs shows diffusive, localized or critical behavior are considered. These are features that cannot be describe...
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Interplay and competition between disorder and flat band in an interacting Creutz ladder: We clarify the interplay and competition between disorder and flat band in the Creutz ladder with inter-particle interactions focusing on the system's dynamics. Without disorder, the Creutz ladder exhibits flat-band many-body lo...
cond-mat_dis-nn
Instantons in the working memory: implications for schizophrenia: The influence of the synaptic channel properties on the stability of delayed activity maintained by recurrent neural network is studied. The duration of excitatory post-synaptic current (EPSC) is shown to be essential for the global stability of the dela...
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Criticality and entanglement in random quantum systems: We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum criticality of these systems...
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Gauged Neural Network: Phase Structure, Learning, and Associative Memory: A gauge model of neural network is introduced, which resembles the Z(2) Higgs lattice gauge theory of high-energy physics. It contains a neuron variable $S_x = \pm 1$ on each site $x$ of a 3D lattice and a synaptic-connection variable $J_{x\mu} =...
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Super-Rough Glassy Phase of the Random Field XY Model in Two Dimensions: We study both analytically, using the renormalization group (RG) to two loop order, and numerically, using an exact polynomial algorithm, the disorder-induced glass phase of the two-dimensional XY model with quenched random symmetry-breaking field...
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Low Temperature Properties of the Random Field Potts Chain: The random field q-States Potts model is investigated using exact groundstates and finite-temperature transfer matrix calculations. It is found that the domain structure and the Zeeman energy of the domains resembles for general q the random field Ising case (...
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Deformation of inherent structures to detect long-range correlations in supercooled liquids: We propose deformations of inherent structures as a suitable tool for detecting structural changes underlying the onset of cooperativity in supercooled liquids. The non-affine displacement (NAD) field resulting from the appli...
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Holes in a Quantum Spin Liquid: Magnetic neutron scattering provides evidence for nucleation of antiferromagnetic droplets around impurities in a doped nickel-oxide based quantum magnet. The undoped parent compound contains a spin liquid with a cooperative singlet ground state and a gap in the magnetic excitation spect...
cond-mat_dis-nn
Soft annealing: A new approach to difficult computational problems: I propose a new method to study computationally difficult problems. I consider a new system, larger than the one I want to simulate. The original system is recovered by imposing constraints on the large system. I simulate the large system with the hard...
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Dynamical Gauge Theory for the XY Gauge Glass Model: Dynamical systems of the gauge glass are investigated by the method of the gauge transformation.Both stochastic and deterministic dynamics are treated. Several exact relations are derived among dynamical quantities such as equilibrium and nonequilibrium auto-correlat...
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On the number of limit cycles in asymmetric neural networks: The comprehension of the mechanisms at the basis of the functioning of complexly interconnected networks represents one of the main goals of neuroscience. In this work, we investigate how the structure of recurrent connectivity influences the ability of a net...
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Vogel-Fulcher freezing in relaxor ferroelectrics: A physical mechanism for the freezing of polar nanoregions (PNRs) in relaxor ferroelectrics is presented. Assuming that the activation energy for the reorientation of a cluster of PNRs scales with the mean volume of the cluster, the characteristic relaxation time $\tau$...
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