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Spin glasses are a longstanding model for the sluggish dynamics that appears at the glass transition. However, spin glasses differ from structural glasses for a crucial feature: they enjoy a time reversal symmetry. This symmetry can be…

In magnetic materials, spins sometimes freeze into spatially disordered glassy states. Glass forming liquids or structural glasses are found very often in three dimensions. However, in two dimensions(2D) it is believed that both spin glass…

无序系统与神经网络 · 物理学 2022-07-18 Chisa Hotta , Kazumasa Ueda , Masatoshi Imada

We review recent numerical progress in the study of finite dimensional strongly disordered magnetic systems like spin glasses and random field systems. In particular we report in some details results for the critical properties and the…

凝聚态物理 · 物理学 2016-11-03 H. Rieger

In talk I will review the theoretical results that have been obtained for spin glasses, paying a particular attention to finite dimensional spin glasses. I will concentrate my attention on the formulation of the mean field approach and on…

无序系统与神经网络 · 物理学 2009-11-13 Giorgio Parisi

In these notes the main theoretical concepts and techniques in the field of mean-field spin-glasses are reviewed in a compact and pedagogical way, for the benefit of the graduate and undergraduate student. One particular spin-glass model is…

无序系统与神经网络 · 物理学 2009-11-11 Tommaso Castellani , Andrea Cavagna

In an effort to understand the glass transition, the kinetics of a spin model with frustration but no quenched randomness has been analyzed. The phenomenology of the spin model is remarkably similiar to that of structural glasses. Analysis…

统计力学 · 物理学 2009-10-31 Bulbul Chakraborty , Lei Gu , Hui Yin

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…

凝聚态物理 · 物理学 2009-10-28 Diego Alvarez , Silvio Franz , Felix Ritort

The thermodynamics of the infinite-range Ising spin glass with p-spin interactions in the presence of an external magnetic field h is investigated analytically using the replica method. We give emphasis to the analysis of the transition…

统计力学 · 物理学 2009-10-31 Viviane M de Oliveira , J F Fontanari

We review some recent results on finite dimensional spin glasses by studying recent numerical simulations and their relationship with experiments. In particular we will show results obtained at zero and non zero temperature, focusing in the…

凝聚态物理 · 物理学 2009-09-29 J. J. Ruiz-Lorenzo

We report some results on the quenched disordered Spherical multi-$p$-Spin Model in presence of ferromagnetic couplings. In particular, we present the phase diagrams of some representative cases that schematically describe, in the…

无序系统与神经网络 · 物理学 2013-03-19 Andrea Crisanti , Luca Leuzzi

Spin glasses are paradigmatic models that deliver concepts relevant for a variety of systems. However, rigorous analytical results are difficult to obtain for spin-glass models, in particular for realistic short-range models. Therefore…

无序系统与神经网络 · 物理学 2008-02-12 Helmut G. Katzgraber

A spin-glass transition occurs both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the inverse power of the distance.…

计算物理 · 物理学 2015-05-19 L. Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

The Ising spin glass model in a transverse field has a zero temperature phase transition driven solely by quantum fluctuations. This quantum phase transition occuring at a critical transverse field strength has attracted much attention…

凝聚态物理 · 物理学 2007-05-23 Heiko Rieger , A. Peter Young

Spin glasses are magnetic systems exhibiting both quenched disorder and frustration, and have often been cited as examples of `complex systems.' In this talk I review some of the basic notions of spin glass physics, and discuss how some of…

无序系统与神经网络 · 物理学 2018-03-28 D. L. Stein

Critical slowing down dynamics of supercooled glass-forming liquids is usually understood at the mean-field level in the framework of Mode Coupling Theory, providing a two-time relaxation scenario and power-law behaviors of the time…

无序系统与神经网络 · 物理学 2013-01-30 Ulisse Ferrari , Luca Leuzzi , Giorgio Parisi , Tommaso Rizzo

We recently showed that the two-dimensional Ising spin glass allows for a line of renormalization group fixed points which explains properties observed in numerical studies. We observe that this exact result corresponds to enhancement to a…

统计力学 · 物理学 2026-04-15 Gesualdo Delfino

We have combined the dynamical mean field theories of the Mott transition and the spin glass in infinite dimensions and derived a metallic spin-glass state from a random spin-fermion model.

强关联电子 · 物理学 2009-10-31 O. Narikiyo

In this work we discuss a short range version of the $p$-spin model. The model is provided with a parameter that allows to control the crossover with the mean field behaviour. We detect a discrepancy between the perturbative approach and…

无序系统与神经网络 · 物理学 2009-10-31 Matteo Campellone , Giorgio Parisi , Paola Ranieri

According to the droplet picture of spin glasses, the low-temperature phase of spin glasses should be replica symmetric. However, analysis of the stability of this state suggested that it was unstable and this instability lends support to…

无序系统与神经网络 · 物理学 2015-06-25 M. A. Moore

We study a two-dimensional compressible Ising spin glass at constant volume. The spin interactions are coupled to the distance between neighboring particles in the Edwards-Anderson model with +/- J interactions. We find that the energy of a…

无序系统与神经网络 · 物理学 2009-11-11 Adam H. Marshall , Bulbul Chakraborty , Sidney R. Nagel