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Broken-symmetry-induced order parameters account for many phenomena in condensed matter physics. For spin glasses, such a framework dictates its theoretical construction, whereas experiments have only established dynamical behaviors such as…

Disordered Systems and Neural Networks · Physics 2026-05-25 Margarita G. Dronova , Feng Ye , Zachary J. Morgan , Yishu Wang , Yejun Feng

The ordering of the three-dimensional Heisenberg spin glass with the weak random anisotropy in magnetic fields is studied by extensive equilibrium Monte Carlo simulations. Both the spin and the chirality are monitored. We find strong…

Disordered Systems and Neural Networks · Physics 2009-11-10 Daisuke Imagawa , Hikaru Kawamura

Finite-dimensional signatures of spinodal criticality are notoriously difficult to come by. The dynamical transition of glass-forming liquids, first described by mode-coupling theory, is a spinodal instability preempted by thermally…

Statistical Mechanics · Physics 2020-09-09 Ludovic Berthier , Patrick Charbonneau , Joyjit Kundu

Spin and chirality orderings of a three-dimensional XY spin glass are studied by extensive Monte Carlo simulations. By calculating an appropriately defined spin-overlap distribution function, we show that the finite-temperature chiral-glass…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hikaru Kawamura , Mai Suan Li

A simple, non-disordered spin model has been studied in an effort to understand the origin of the precipitous slowing down of dynamics observed in supercooled liquids approaching the glass transition. A combination of Monte Carlo…

Statistical Mechanics · Physics 2009-11-07 Hui Yin , Bulbul Chakraborty

We characterize the phase diagram of anisotropic Heisenberg spin glasses, finding both the spin and the chiral glass transition. We remark the presence of strong finite-size effects on the chiral sector. We find a unique phase transition…

Disordered Systems and Neural Networks · Physics 2014-01-22 M. Baity-Jesi , L. A. Fernandez , V. Martin-Mayor , J. M. Sanz

We propose a change of style for numerical estimations of physical quantities from measurements to inferences. We estimate the most probable quantities for all the parameter region simultaneously by using the raw data cooperatively.…

Disordered Systems and Neural Networks · Physics 2016-01-13 Tota Nakamura

We study fully occupied lattice systems of classical magnetic dipoles which point along random axes. Only dipolar interactions are considered. From tempered Monte Carlo simulations, we obtain numerical evidence that supports the following…

Materials Science · Physics 2009-03-05 J. F. Fernández

We study the fragility of spin glasses to small temperature perturbations numerically using population annealing Monte Carlo. We apply thermal boundary conditions to a three-dimensional Edwards-Anderson Ising spin glass. In thermal boundary…

Disordered Systems and Neural Networks · Physics 2015-09-10 Wenlong Wang , Jon Machta , Helmut G. Katzgraber

Spin glasses are frustrated magnetic systems due to a random distribution of ferro- and antiferromagnetic interactions. An experimental three dimensional (3d) spin glass exhibits a second order phase transition to a low temperature spin…

Disordered Systems and Neural Networks · Physics 2009-11-10 Per Nordblad

Campos et al. [Phys. Rev. Lett. 97 (2006) 217204] claim that in the 3d Heisenberg Spin Glass, chiral and spin sector ordering temperatures are identical. We point out that in their analysis of their numerical data key assumptions are made…

Disordered Systems and Neural Networks · Physics 2009-11-13 I. A. Campbell , H. Kawamura

We present results of a Monte Carlo simulation of an Heisenberg Spin Glass model on a hipercubic cell of size 2 in {\it D} dimensions. Each spin interacts with {\it D} nearest neighbors and the lattice is expected to recover the completely…

Condensed Matter · Physics 2007-05-23 Daniel A. Stariolo

We discuss a phase transition in spin glass models which have been rarely considered in the past, namely the phase transition that may take place when two real replicas are forced to be at a larger distance (i.e. at a smaller overlap) than…

Disordered Systems and Neural Networks · Physics 2020-02-27 Maddalena Dilucca , Luca Leuzzi , Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

Pressure-induced phase transitions of spin-crossover materials were simulated by a Monte Carlo simulation in the constant pressure ensemble for the first time. Here, as the origin of the cooperative interaction, we adopt elastic interaction…

Materials Science · Physics 2008-04-09 Yusuke Konishi , Hiroko Tokoro , Masamichi Nishino , Seiji Miyashita

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

A spin glass is a diluted magnetic material in which the magnetic moments are randomly interacting, with a huge number of metastable states which prevent reaching equilibrium. Spin-glass models are conceptually simple, but require very…

Disordered Systems and Neural Networks · Physics 2023-03-03 Eric Vincent

The spin and the chirality orderings of the three-dimensional Heisenberg spin glass with the weak random anisotropy are studied under applied magnetic fields by equilibrium Monte Carlo simulations. A replica symmetry breaking transition…

Disordered Systems and Neural Networks · Physics 2009-11-10 Daisuke Imagawa , Hikaru Kawamura

We study the 4d Heisenberg spin glass model with Gaussian nearest-neighbor interactions. We use finite size scaling to analyze the data. We find a behavior consistent with a finite temperature spin glass transition. Our estimates for the…

Condensed Matter · Physics 2009-10-22 B. Coluzzi

We study energy landscape and dynamics of the three-dimensional Heisenberg Spin Glass model in the paramagnetic phase, i.e. for temperature $T$ larger than the critical temperature $T_\mathrm{c}$. The landscape is non-trivially related to…

Disordered Systems and Neural Networks · Physics 2019-09-24 Marco Baity-Jesi , Victor Martin-Mayor

We discuss a general formalism that allows study of transitions over barriers in spin glasses with long-range interactions that contain large but finite number, $N$, of spins. We apply this formalism to the Sherrington-Kirkpatrick model…

Disordered Systems and Neural Networks · Physics 2009-10-30 L. B. Ioffe , D. Sherrington