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相关论文: Absence of an Almeida-Thouless line in Three-Dimen…

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We test for the existence of a spin-glass phase transition, the de Almeida-Thouless line, in an externally-applied (random) magnetic field by performing Monte Carlo simulations on a power-law diluted one-dimensional Ising spin glass for…

无序系统与神经网络 · 物理学 2009-04-30 Helmut G. Katzgraber , Derek Larson , A. P. Young

Results of Monte Carlo simulations of the one-dimensional long-range Ising spin glass with power-law interactions in the presence of a (random) field are presented. By tuning the exponent of the power-law interactions, we are able to scan…

无序系统与神经网络 · 物理学 2007-05-23 Helmut G. Katzgraber , A. P. Young

We study the existence of a line of transitions of an Ising spin glass in a magnetic field-known as the de Almeida-Thouless line-using one-dimensional power-law diluted Ising spin-glass models. We choose the power-law exponent to have…

无序系统与神经网络 · 物理学 2013-01-22 Derek Larson , Helmut G. Katzgraber , M. A. Moore , A. P. Young

We study the three-spin model and the Ising spin glass in a field using Migdal-Kadanoff approximation. The flows of the couplings and fields indicate no phase transition, but they show even for the three-spin model a slow crossover to the…

无序系统与神经网络 · 物理学 2009-10-31 Barbara Drossel , Hemant Bokil , M. A. Moore

By tempered Monte Carlo simulations, an Almeida-Thouless (AT) phase-boundary line in site-diluted Ising spin systems is searched for. Spins interact only through dipolar fields and occupy a small fraction of lattice sites. The spin-glass…

统计力学 · 物理学 2015-05-20 Julio F. Fernandez

We study the critical behavior of the Ising spin glass in five spatial dimensions through large-scale Monte Carlo simulations and finite-size scaling analysis. Numerical evidence for a phase transition is found both with and without an…

无序系统与神经网络 · 物理学 2025-12-01 M. Aguilar-Janita , V. Martin-Mayor , J. Moreno-Gordo , J. J. Ruiz-Lorenzo

We consider the infinite-range spin glass in which the spins have m > 1 components (a vector spin glass). Applying a magnetic field which is random in direction, there is an Almeida Thouless (AT) line below which the "replica symmetric"…

无序系统与神经网络 · 物理学 2013-05-29 Auditya Sharma , A. P. Young

The nature of spin-glass states in a magnetic field remains a major open problem in statistical physics. The existence of the de Almeida-Thouless (dAT) transition for three-dimensional (3D) spin glasses in a field is still debated. We…

统计力学 · 物理学 2026-01-28 L. H. Miranda-Filho , Yuliang Jin

We study in Ising spin glasses the finite-size effects near the spin-glass transition in zero field and at the de Almeida-Thouless transition in a field by Monte Carlo methods and by analytical approximations. In zero field, the finite-size…

无序系统与神经网络 · 物理学 2016-03-15 T. Aspelmeier , Helmut G. Katzgraber , Derek Larson , M. A. Moore , Matthew Wittmann , Joonhyun Yeo

We show that the Almeida-Thouless line in Ising spin glasses vanishes when their dimension d -> 6 as h_{AT}^2/T_c^2 = C(d-6)^4(1- T/T_c)^{d/2 - 1}, where C is a constant of order unity. An equivalent result which could be checked by…

无序系统与神经网络 · 物理学 2015-05-27 M. A. Moore , A. J. Bray

We test for the presence or absence of the de Almeida-Thouless line using one-dimensional power-law diluted Heisenberg spin glass model, in which the rms strength of the interactions decays with distance, r as 1/r^{sigma}. It is argued that…

无序系统与神经网络 · 物理学 2013-05-29 Auditya Sharma , A. P. Young

Ground states of the three dimensional Edwards-Anderson spin glass are computed in the presence of an external magnetic field. Our algorithm is sufficiently powerful for us to treat systems with up to 600 spins. We perform a statistical…

无序系统与神经网络 · 物理学 2009-10-31 J. Houdayer , O. C. Martin

The problem of the survival of a spin glass phase in the presence of a field has been a challenging one for a long time. To date, all attempts using equilibrium Monte Carlo methods have been unconclusive. In their comment to our paper,…

无序系统与神经网络 · 物理学 2009-10-31 J. Houdayer , O. C. Martin

We study the 3D Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined. Using an iterative extrapolation…

无序系统与神经网络 · 物理学 2007-05-23 Matteo Palassini , Sergio Caracciolo

We study universality in three-dimensional Ising spin glasses by large-scale Monte Carlo simulations of the Edwards-Anderson Ising spin glass for several choices of bond distributions, with particular emphasis on Gaussian and bimodal…

无序系统与神经网络 · 物理学 2007-05-23 Helmut G. Katzgraber , Mathias Koerner , A. P. Young

We study the existence of a spin-glass phase in a field using Monte Carlo simulations performed along a nontrivial path in the field--temperature plane that must cross any putative de Almeida-Thouless instability line. The method is first…

无序系统与神经网络 · 物理学 2008-05-13 Thomas Jorg , Helmut G. Katzgraber , Florent Krzakala

It is shown by means of a 1/m expansion about the large-m limit of the m-vector spin glass that the lower critical dimension of the de Almeida-Thouless line in spin glasses is equal to the lower critical dimension of the large-m limit of…

无序系统与神经网络 · 物理学 2013-05-30 M. A. Moore

Despite the extreme simplicity in their definition, spin glasses disclose a wide variety of non-trivial behaviors that are not yet fully understood. In this thesis we try to shed light on some of them, focusing on one hand on the search of…

无序系统与神经网络 · 物理学 2018-05-16 Marco Baity-Jesi

The stability of the spin-glass phase against a magnetic field is studied in the three and four dimensional Edwards-Anderson Ising spin glasses. Effective couplings and effective fields associated with length scale L are measured by a…

无序系统与神经网络 · 物理学 2009-11-13 M. Sasaki , K. Hukushima , H. Yoshino , H. Takayama

One of the key predictions of Parisi's broken replica symmetry theory of spin glasses is the existence of a phase transition in an applied field to a state with broken replica symmetry. This transition takes place at the de Almeida-Thouless…

无序系统与神经网络 · 物理学 2024-12-12 Bharadwaj Vedula , M. A. Moore , Auditya Sharma
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