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Related papers: Correlated Domains in Spin Glasses

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We investigate spin-spin correlation functions in the low temperature phase of spin-glasses. Using the replica field theory formalism, we examine in detail their infrared (long distance) behavior. In particular we identify a longitudinal…

Disordered Systems and Neural Networks · Physics 2009-11-10 Cirano De Dominicis , Irene Giardina , Enzo Marinari , Olivier C. Martin , Francesco Zuliani

We study numerically the local low-energy excitations in the 3-d Edwards-Anderson model for spin glasses. Given the ground state, we determine the lowest-lying connected cluster of flipped spins with a fixed volume containing one given…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. Lamarcq , J. -P. Bouchaud , O. C. Martin , M. Mezard

We present a detailed study of the scaling behavior of correlations functions and AC susceptibility relaxations in the aging regime in three dimensional spin glasses. The agreement between simulations and experiments is excellent confirming…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. Picco , F. Ricci-Tersenghi , F. Ritort

In recent times, the theoretical study of the three-dimensional Edwards-Anderson model has produced several rigorous results on the nature of the spin-glass phase. In particular, it has been shown that, as soon as the overlap distribution…

Disordered Systems and Neural Networks · Physics 2013-12-11 A. Maiorano , G. Parisi , D. Yllanes

We numerically extract large-scale excitations above the ground state in the 3-dimensional Edwards-Anderson spin glass with Gaussian couplings. We find that associated energies are O(1), in agreement with the mean field picture. Of further…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Houdayer , F. Krzakala , O. C. Martin

The fractal dimension of excitations in glassy systems gives information on the critical dimension at which the droplet picture of spin glasses changes to a description based on replica symmetry breaking where the interfaces are space…

Disordered Systems and Neural Networks · Physics 2017-09-11 Wenlong Wang , M. A. Moore , Helmut G. Katzgraber

We uncover a new kind of entropic long range order in finite dimensional spin glasses. We study the link-diluted version of the Edwards-Anderson spin glass model with bimodal couplings (J=+/-1) on a 3D lattice. By using exact reduction…

Disordered Systems and Neural Networks · Physics 2011-02-24 Maria Chiara Angelini , Federico Ricci-Tersenghi

We present a collection of simulations of the Edwards-Anderson lattice spin glass at $T=0$ to elucidate the nature of low-energy excitations over a range of dimensions that reach from physically realizable systems to the mean-field limit.…

Disordered Systems and Neural Networks · Physics 2024-09-23 Stefan Boettcher

We show results of simulations of a weakly driven four dimensional Edwards- Anderson spin glass, which presents clear signatures of dynamical ultrametricity at low temperatures. The presence of a hierarchical organization of time scales is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Daniel A. Stariolo

Spin glasses have competing interactions that lead to a rough energy landscape which is highly susceptible to small perturbations. These chaotic effects strongly affect numerical simulations and, as such, gaining a deeper understanding of…

Disordered Systems and Neural Networks · Physics 2016-06-14 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

We characterize numerically the properties of the phase transition of the three dimensional Ising spin glass with Gaussian couplings and of the low temperature phase. We compute critical exponents on large lattices. We study in detail the…

Statistical Mechanics · Physics 2009-10-31 E. Marinari , G. Parisi , J. J. Ruiz-Lorenzo

The question of the number of thermodynamic states present in the low-temperature phase of the three-dimensional Edwards-Anderson Ising spin glass is addressed by studying spin and link overlap distributions using population annealing Monte…

Disordered Systems and Neural Networks · Physics 2017-11-22 Wenlong Wang , Jonathan Machta , Humberto Munoz-Bauza , Helmut G. Katzgraber

We investigate the 3-dimensional Edwards-Anderson spin glass model at low temperature on simple cubic lattices of sizes up to L=12. Our findings show a strong continuity among T>0 physical features and those found previously at T=0, leading…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. Marinari , O. C. Martin , F. Zuliani

We investigate numerically disorder chaos in spin glasses, i.e. the sensitivity of the ground state to small changes of the random couplings. Our study focuses on the Edwards-Anderson model in d=1,2,3 and in mean-field. We find that in all…

Disordered Systems and Neural Networks · Physics 2007-05-23 Florent Krzakala , Jean-Philippe Bouchaud

We perform collective spin measurements to study the buildup of two-body correlations between $\approx10^4$ spin $s=3$ chromium atoms pinned in a 3D optical lattice. The spins interact via long range and anisotropic dipolar interactions.…

We study a two-dimensional compressible Ising spin glass at constant volume. The spin interactions are coupled to the distance between neighboring particles in the Edwards-Anderson model with +/- J interactions. We find that the energy of a…

Disordered Systems and Neural Networks · Physics 2009-11-11 Adam H. Marshall , Bulbul Chakraborty , Sidney R. Nagel

We unveil the multifractal behavior of Ising spin glasses in their low-temperature phase. Using the Janus II custom-built supercomputer, the spin-glass correlation function is studied locally. Dramatic fluctuations are found when pairs of…

We investigate the low temperature phase of three-dimensional Edwards-Anderson model with Bernoulli random couplings. We show that at a fixed value $Q$ of the overlap the model fulfills the clustering property: the connected correlation…

Disordered Systems and Neural Networks · Physics 2013-05-29 Pierluigi Contucci , Cristian Giardina , Claudio Giberti , Giorgio Parisi , Cecilia Vernia

Numerical results for the local field distributions of a family of Ising spin-glass models are presented. In particular, the Edwards-Anderson model in dimensions two, three, and four is considered, as well as spin glasses with long-range…

Disordered Systems and Neural Networks · Physics 2009-11-13 Stefan Boettcher , Helmut G. Katzgraber , David Sherrington

We generate equilibrium configurations for the three and four dimensional Ising spin glass with Gaussian distributed couplings at temperatures well below the transition temperature T_c. These states are analyzed by a recently proposed…

Disordered Systems and Neural Networks · Physics 2009-11-07 Eytan Domany , Guy Hed , Matteo Palassini , A. P. Young
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