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Related papers: Spin Glasses: a Perspective

200 papers

This note is an informal presentation of spin glasses and of the Parisi formula. We also discuss some models for which the Parisi formula is not well-understood, and some partial progress that relies upon a connection with partial…

Probability · Mathematics 2025-04-07 Jean-Christophe Mourrat

We give an overview of numerical and experimental estimates of critical exponents in Spin Glasses. We find that the evidence for a breakdown of universality of exponents in these systems is very strong.

Statistical Mechanics · Physics 2007-05-23 I. A. Campbell , D. Petit , P. O. Mari , L. W. Bernardi

The aim of this work is to prove that it is possible to realise an optical system which produces as output a light intensity that can be expressed in the same mathematical form of the spin glass Hamiltonian. The optical system under study…

Disordered Systems and Neural Networks · Physics 2020-10-27 Erik Hörmann

We review the main methods used to study spin glasses. In the first part, we focus on methods for fully connected models and systems defined on a tree, such as the replica method, the Thouless-Anderson-Palmer formalism, the cavity method,…

Disordered Systems and Neural Networks · Physics 2023-12-01 Ada Altieri , Marco Baity-Jesi

In this talk I will review the approach to spin glasses based on the spontaneously broken replica symmetry. I will concentrate my attention mostly on more general ideas, skipping technical details and stressing the characteristic…

Condensed Matter · Physics 2007-05-23 Giorgio Parisi Dipartimento di fisica Roma

We review recent findings on spin glass models. Both the equilibrium properties and the dynamic properties are covered. We focus on progress in theoretical, in particular numerical, studies, while its relationship to real magnetic materials…

Disordered Systems and Neural Networks · Physics 2016-11-23 N. Kawashima , H. Rieger

The description of thermodynamic phase transitions in terms of percolation transitions of suitably defined clusters has a long tradition and boasts a number of important successes, the most prominent ones being in ferromagnetic lattice…

Disordered Systems and Neural Networks · Physics 2024-08-20 Lambert Münster , Martin Weigel

This paper is divided into two parts. The first part concerns several standard scenarios for how short-range spin glasses might behave at low temperature. Earlier theorems of the authors are reviewed, and some new results presented,…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. M. Newman , D. L. Stein

This article aims at giving a general presentation of spintronics, an important field of research developing today along many new directions in physics of condensed matter. We tried to present simply the physical phenomena involved in…

Mesoscale and Nanoscale Physics · Physics 2019-12-02 Albert Fert , Frédéric Nguyen van Dau

We discuss the metastate, a probability measure on thermodynamic states, and its usefulness in addressing difficult questions pertaining to the statistical mechanics of systems with quenched disorder, in particular short-range spin glasses.…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. M. Newman , D. L. Stein

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.

Strongly Correlated Electrons · Physics 2009-10-31 O. Narikiyo

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…

Disordered Systems and Neural Networks · Physics 2018-05-16 Marco Baity-Jesi

Spin glasses are models of statistical mechanics in which a large number of simple elements interact with one another in a disordered fashion. One of the fundamental results of the theory is the Parisi formula, which identifies the limit of…

Probability · Mathematics 2025-10-02 Jean-Christophe Mourrat

Fundamental spin physics has made striking progresses in the last years; new ideas, experiments and data interpretations have been proposed and keep emerging. A review of some of the most important issues in the spin structure of nucleons…

High Energy Physics - Phenomenology · Physics 2015-06-25 Mauro Anselmino

I review the progress in fundamental spin physics over the past several years and the prospects for the future. The progress is striking and the prospects are excellent.

High Energy Physics - Phenomenology · Physics 2009-11-07 Robert L. Jaffe

In this talk I present some of the recent theoretical results that have been obtained on glassy systems like spin glasses or structural glasses. The physical principles at the basis of the theory are explained in a simple language (without…

Disordered Systems and Neural Networks · Physics 2015-06-25 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…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tommaso Castellani , Andrea Cavagna

This paper first describes, from a high level viewpoint, the main challenges that had to be solved in order to develop a theory of spin glasses in the last fifty years. It then explains how important inference problems, notably those…

Disordered Systems and Neural Networks · Physics 2023-12-12 Marc Mézard

The paper presents a first attempt to look at the peculiarities of open-shell systems from the viewpoint of spin-orbit coupling. Contrary to common opinion of a negligible role of the issue for light element molecules, presented in the…

Chemical Physics · Physics 2015-11-18 Elena F. Sheka

The topic of the glass transition gives rise to a a wide diversity of views. It is, accordingly, characterized by a lack of agreement on which would be the most profitable theoretical perspective. In this chapter, I provide some elements…

Statistical Mechanics · Physics 2010-10-15 Gilles Tarjus