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We study the $\pm J$ three-dimensional Ising model with a spatially uniaxially anisotropic bond randomness on the simple cubic lattice. The $\pm J$ random exchange is applied in the $xy$ planes, whereas in the z direction only a…

统计力学 · 物理学 2015-06-11 T. Papakonstantinou , A. Malakis

We study the anisotropic Heisenberg spin-glass model in a three-dimensional hierarchical lattice (designed to approximate the cubic lattice), within a real-space renormalization-group approach. Two different initial probability…

统计力学 · 物理学 2007-05-23 J. Ricardo de Sousa , Beatriz Boechat , Claudette Cordeiro , N. S. Branco

We investigate the ferromagnetic-glassy transitions which separate the low-temperature ferromagnetic and spin-glass phases in the temperature-disorder phase diagram of three-dimensional Ising spin-glass models. For this purpose, we consider…

无序系统与神经网络 · 物理学 2015-05-28 Giacomo Ceccarelli , Andrea Pelissetto , Ettore Vicari

We have studied the anisotropic three-dimensional nearest-neighbor Ising model with competitive interactions in an uniform longitudinal magnetic field $H$. The model consists of ferromagnetic interaction $J_{x}(J_{z})$ in the $x(z)$…

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 in the global…

无序系统与神经网络 · 物理学 2009-02-23 Can Güven , A. Nihat Berker , Michael Hinczewski , Hidetoshi Nishimori

The $q$-neighbor Ising model is investigated on homogeneous random graphs with a fraction of edges associated randomly with antiferromagnetic exchange integrals and the remaining edges with ferromagnetic ones. It is a nonequilibrium model…

统计力学 · 物理学 2020-12-09 A. Krawiecki

We investigate in detail the phase diagrams of the p-body +/-J Ising model with and without random fields on random graphs with fixed connectivity. One of our most interesting findings is that a thermodynamic spin glass phase is present in…

无序系统与神经网络 · 物理学 2011-04-14 Yoshiki Matsuda , Hidetoshi Nishimori , Lenka Zdeborová , Florent Krzakala

A spin model that displays inverse melting and inverse glass transition is presented and analyzed. Strong degeneracy of the interacting states of an individual spin leads to entropic preference of the "ferromagnetic" phase, while lower…

统计力学 · 物理学 2009-11-10 Nurith Schupper , Nadav M. Shnerb

We study the critical behavior of the three-dimensional $\pm J$ Ising model [with a random-exchange probability $P(J_{xy}) = p \delta(J_{xy} - J) + (1-p) \delta(J_{xy} + J)$] at the transition line between the paramagnetic and ferromagnetic…

无序系统与神经网络 · 物理学 2007-09-10 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

The four-dimensional +-J random-bond Ising model is studied using ground-state calculations. System sizes up to N=6^4 spins are considered. Here it is found that the ferromagnetic-spin glass transition occurs at a critical concentration…

无序系统与神经网络 · 物理学 2009-11-07 Alexander K. Hartmann

By using frustration-preserving hard-spin mean-field theory, we investigated the phase transition dynamics in the three-dimensional field-free $\pm J$ Ising spin glass model. As the temperature $T$ is decreased from paramagnetic phase at…

统计力学 · 物理学 2021-09-29 Ozan S. Sarıyer

We have studied the mixed spin-1/2 and 1 Ising ferrimagnetic system with a random anisotropy on a triangular lattice with three interpenetrating sublattices $A$, $B$, and $C$. The spins on the sublattices are represented by $\sigma_{A}$…

统计力学 · 物理学 2023-05-26 E. S. de Santana , A. S. de Arruda , M. Godoy

The Ising model on ``thin'' graphs (standard Feynman diagrams) displays several interesting properties. For ferromagnetic couplings there is a mean field phase transition at the corresponding Bethe lattice transition point. For…

高能物理 - 格点 · 物理学 2016-08-31 C. F. Baillie , D. A. Johnston , J-P. Kownacki

We have studied the critical properties of the three-dimensional random anisotropy Heisenberg model by means of numerical simulations using the Parallel Tempering method. We have simulated the model with two different disorder…

无序系统与神经网络 · 物理学 2022-10-12 J. J. Ruiz-Lorenzo , M. Dudka , Yu. Holovatch

The Ising-like spin ice model, with a macroscopically degenerate ground state, has been shown to be approximated by several real materials. Here we investigate a model related to spin ice, in which the Ising spins are replaced by classical…

统计力学 · 物理学 2016-08-31 J. D. M. Champion , S. T. Bramwell , P. C. W. Holdsworth , M. J. Harris

We consider the thermodynamics of an infinite-range Ising p-spin glass model with an additional r-spin ferromagnetic interaction. For r=2 there is a continuous transition to a ferromagnetic phase, while for r>2 the transition is first…

无序系统与神经网络 · 物理学 2009-11-07 Peter Gillin , Hidetoshi Nishimori , David Sherrington

By means of extensive computer simulations we analyze in detail the two dimensional $\pm J$ Ising spin glass with ferromagnetic next-nearest-neighbor interactions. We found a crossover from ferromagnetic to ``spin glass'' like order both…

统计力学 · 物理学 2009-10-31 G. Parisi , J. J. Ruiz-Lorenzo , D. Stariolo

We study a p-spin spin-glass model to understand if the finite-temperature glass transition found in the mean-field regime of p-spin models, and used to model the behavior of structural glasses, persists in the non-mean-field regime. By…

无序系统与神经网络 · 物理学 2010-02-18 Derek Larson , Helmut G. Katzgraber , M. A. Moore , A. P. Young

Long-range and anisotropic dipolar interactions profoundly modify the dynamics of particles hopping in a periodic lattice potential. We report the realization of a generalized t-J model with dipolar interactions using a system of ultracold…

In a recent paper we found strong evidence from simulations that the Isingantiferromagnet on ``thin'' random graphs - Feynman diagrams - displayed amean-field spin glass transition. The intrinsic interest of considering such random graphs…

高能物理 - 格点 · 物理学 2016-09-01 C. F. Baillie , W. Janke , D. A. Johnston , P. Plechac
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