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Monte Carlo data of the two-dimensional Ising spin glass with bimodal interactions are presented with the aim of understanding the low-temperature physics of the model. An analysis of the specific heat, spin-glass susceptibility,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , Lik Wee Lee , I. A. Campbell

We use numerical transfer-matrix methods to investigate properties of the multicriticalpoint of binary Ising spin glasses on a square lattice, whose location we assume to be given exactly by a conjecture advanced by Nishimori and Nemoto. We…

Statistical Mechanics · Physics 2007-05-23 Jean C. Lessa , S. L. A. de Queiroz

The power of matrix product states to describe infinite-size translational-invariant critical spin chains is investigated. At criticality, the accuracy with which they describe ground state properties of a system is limited by the size…

Statistical Mechanics · Physics 2008-09-19 L. Tagliacozzo , Thiago. R. de Oliveira , S. Iblisdir , J. I. Latorre

The site-random Ising spin glass model is investigated. We find a rigorous symmetry for the SG correlation and the free energy, which provides some restrictions in the phase diagram. Using the defect energies calculated by the numerical…

Condensed Matter · Physics 2009-10-28 Yukiyasu Ozeki , Yoshihiko Nonomura

The growing correlation length observed in supercooled liquids as their temperature is lowered has been studied with the aid of a single occupancy cell model. This model becomes more accurate as the density of the system is increased. One…

Statistical Mechanics · Physics 2013-04-17 Christopher J. Fullerton , M. A. Moore

Scaling arguments and precise simulations are used to study the square lattice $\pm J$ Ising spin glass, a prototypical model for glassy systems. Droplet theory predicts, and our numerical results show, entropically-stabilized long range…

Disordered Systems and Neural Networks · Physics 2011-07-21 Creighton K. Thomas , David A. Huse , A. Alan Middleton

For the long-range one-dimensional Ising spin-glass with random couplings decaying as $J(r) \propto r^{-\sigma}$, the scaling of the effective coupling defined as the difference between the free-energies corresponding to Periodic and…

Disordered Systems and Neural Networks · Physics 2014-03-21 Cecile Monthus , Thomas Garel

We consider the critical properties of points of continuous glass transition as one can find in liquids in presence of constraints or in liquids in porous media. Through a one loop analysis we show that the critical Replica Field Theory…

Statistical Mechanics · Physics 2015-03-20 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi

In this paper we propose a short range generalization of the $p$-spin interaction spin-glass model. The model is well suited to test the idea that an entropy collapse is at the bottom-line of the dynamical singularity encountered in…

Condensed Matter · Physics 2009-10-28 Diego Alvarez , Silvio Franz , Felix Ritort

We study the violation of the fluctuation-dissipation theorem in the three and four dimensional Gaussian Ising spin glasses using on and off equilibrium simulations. We have characterized numerically the function X(C) that determine the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Enzo Marinari , Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

Using Monte Carlo simulations, we study the character of the spin-glass (SG) state of a site-diluted dipolar Ising model. We consider systems of dipoles randomly placed on a fraction x of all L^3 sites of a simple cubic lattice that point…

Statistical Mechanics · Physics 2015-03-13 Juan J. Alonso

The very existence of a phase transition for spin glasses in an external magnetic field is controversial, even in high dimensions. We carry out massive simulations of the Ising spin-glass in a field, in six dimensions (which, according to…

Disordered Systems and Neural Networks · Physics 2024-10-30 Miguel Aguilar-Janita , Victor Martin-Mayor , Javier Moreno-Gordo , Juan Jesus Ruiz-Lorenzo

From a consideration of high temperature series expansions in ferromagnets and in spin glasses, we propose an extended scaling scaling scheme involving a set of scaling formulae which express to leading order the temperature (T) and the…

Statistical Mechanics · Physics 2007-05-23 I. A. Campbell , K. Hukushima , H. Takayama

We study the fluctuation-dissipation relations for a three dimensional Ising spin glass in a magnetic field both in the high temperature phase as well as in the low temperature one. In the region of times simulated we have found that our…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. Cruz , L. A. Fernandez , S. Jimenez , J. J. Ruiz-Lorenzo , A. Tarancon

For $L \times L$ square lattices with $L \le 20$ the 2D Ising spin glass with +1 and -1 bonds is found to have a strong correlation between the energy and the entropy of its ground states. A fit to the data gives the result that each…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Fisch

Models with range-free frustrated Ising spin- and Hubbard interaction are treated exactly by means of the discrete time slicing method. Critical and tricritical points, correlations, and the fermion propagator, are derived as a function of…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. Oppermann , D. Sherrington

Extensive simulations are made on the bimodal Ising Spin Glass (ISG) in dimension four. The transition temperature is established using a combination of standard finite size scaling and of thermodynamic derivative peak data. Measurements in…

Disordered Systems and Neural Networks · Physics 2013-10-15 P. H. Lundow , I. A. Campbell

We study numerically the scaling correction to the internal energy per spin as a function of system size and temperature in a variety of Ising and vector spin glasses. From a standard scaling analysis we estimate the effective size…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , I. A. Campbell

The critical exponents for $T\to0$ of the two-dimensional Ising spin glass model with Gaussian couplings are determined with the help of exact ground states for system sizes up to $L=50$ and by a Monte Carlo study of a pseudo-ferromagnetic…

Condensed Matter · Physics 2009-10-28 H. Rieger , L. Santen , U. Blasum , M. Diehl , M. Jünger

Extensive simulations are made of link and spin overlaps in four and five dimensional Ising Spin Glasses (ISGs). Moments and moment ratios of the mean link overlap distributions (the variance, the kurtosis and the skewness) show clear…

Disordered Systems and Neural Networks · Physics 2013-05-06 P. H. Lundow , I. A. Campbell