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相关论文: The de Almeida-Thouless line in vector spin glasse…

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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

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

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

We present results of Monte Carlo simulations of the three-dimensional Edwards-Anderson Ising spin glass in the presence of a (random) field. A finite-size scaling analysis of the correlation length shows no indication of a transition, in…

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

In his Comment, Temesv\'{a}ri objects to a remark in our paper [Phys.\ Rev.\ B {\bf 91}, 104432 (2015)] that his result for the form of the Almeida-Thouless (AT) line obtained in an earlier paper with Parisi [Nucl.\ Phys.\ B {\bf 858}, 293…

无序系统与神经网络 · 物理学 2016-11-03 Joonhyun Yeo , M. A. Moore

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

In this work we present a rigorous and straightforward method to detect the onset of the instability of replica-symmetric theories in information processing systems, which does not require a full replica analysis as in the method originally…

无序系统与神经网络 · 物理学 2023-11-14 Linda Albanese , Andrea Alessandrelli , Adriano Barra , Alessia Annibale

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

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

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

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

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

Symmetry arguments are used to derive a set of exact identities between irreducible vertex functions for the replica symmetric field theory of the Ising spin glass in zero magnetic field. Their range of applicability spans from mean field…

无序系统与神经网络 · 物理学 2007-05-23 T. Temesvari

The existence of an Almeida-Thouless (AT) instability surface below the upper critical dimension 6 is demonstrated in the generic replica symmetric field theory. Renormalization flows from around the zero-field fixed point are investigated.…

无序系统与神经网络 · 物理学 2008-12-04 Tamás Temesvári

Vector spin glasses are known to show two different kinds of phase transitions in presence of an external field: the so-called de Almeida-Thouless and Gabay-Toulouse lines. While the former has been studied to some extent on several…

无序系统与神经网络 · 物理学 2018-01-24 Cosimo Lupo , Federico Ricci-Tersenghi

Replica Symmetry Breaking is a fascinating phenomenon of spin glasses model which could have consequences also in other field of studies. Although there are several studies regarding the stability between the Replica Symmetric and first…

无序系统与神经网络 · 物理学 2024-10-02 Linda Albanese

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 use high temperature series expansions to study the $\pm J$ Ising spin-glass in a magnetic field in $d$-dimensional hypercubic lattices for $d=5, 6, 7$ and $8$, and in the infinite-range Sherrington-Kirkpatrick (SK) model. The expansions…

无序系统与神经网络 · 物理学 2017-07-18 R. R. P. Singh , 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
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