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Related papers: Metallic Spin Glass in Infinite Dimensions

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A dimer mean-field model for the Ising spin-glass is presented. Despite its simplicity it captures some of the essential features of the spin-glass physics. The distribution of the single-spin magnetization is determined from a…

Disordered Systems and Neural Networks · Physics 2009-12-16 Yonatan Dubi , Massimiliano Di Ventra

In this work a short overview of the development of spin glass theories, mainly long and short range Ising models, are presented.

Condensed Matter · Physics 2007-05-23 J. R. L. de Almeida , S. Coutinho

We introduce a finite-connectivity ferromagnetic model with a three-spin interaction which has a crystalline (ferromagnetic) phase as well as a glass phase. The model is not frustrated, it has a ferromagnetic equilibrium phase at low…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. Franz , M. Mezard , F. Ricci-Tersenghi , M. Weigt , R. Zecchina

We provide evidence for spin glass related magnetic gaps in the fermionic density of states below the freezing temperature. Model calculations are presented and proposed to be relevant for explaining resistivity measurements which observe a…

Disordered Systems and Neural Networks · Physics 2009-10-30 R. Oppermann , B. Rosenow

For about twenty years, it has been the prevailing view that there can be no metallic state or metal-insulator transition in two dimensions in zero magnetic field. In the last several years, however, unusual behavior suggestive of such a…

Strongly Correlated Electrons · Physics 2007-05-23 E. Abrahams , S. V. Kravchenko , M. P. Sarachik

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…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. A. Moore

As well as several different kinds of periodically ordered ferroic phases, there are now recognized several different examples of ferroic glassiness, although not always described as such and in material fields of study that have mostly…

Materials Science · Physics 2018-12-07 David Sherrington

The mean-field theory (MFT) of simple glasses, which is exact in the limit of infinite spatial dimensions, $d\rightarrow\infty$, offers theoretical insight as well as quantitative predictions about certain features of $d=3$ systems. In…

Disordered Systems and Neural Networks · Physics 2024-05-27 Patrick Charbonneau , Yi Hu , Peter K. Morse

We consider the spin glass model in which the number of spin components, m, is infinite. In the formulation of the problem appropriate for numerical calculations proposed by several authors, we show that the order parameter defined by the…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. W. Lee , A. Dhar , A. P. Young

Marginally stable solids have peculiar physical properties that were discovered and analyzed in the context of the jamming transition. We theoretically investigate the existence of marginal stability in a prototypical model for structural…

Statistical Mechanics · Physics 2017-11-16 Camille Scalliet , Ludovic Berthier , Francesco Zamponi

Spin glasses are frustrated magnetic systems due to a random distribution of ferro- and antiferromagnetic interactions. An experimental three dimensional (3d) spin glass exhibits a second order phase transition to a low temperature spin…

Disordered Systems and Neural Networks · Physics 2009-11-10 Per Nordblad

We use Monte Carlo simulations to investigate the dynamical properties of the infinite range 10 states Potts glass. By analyzing the spin autocorrelation function for system sizes up to N=2560, we show that strong finite size effects are…

Statistical Mechanics · Physics 2009-11-07 Claudio Brangian , Walter Kob , Kurt Binder

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…

Statistical Mechanics · Physics 2026-01-28 L. H. Miranda-Filho , Yuliang Jin

Spin glasses occupy a unique place in condensed matter: they freeze collectively while remaining struc-turally disordered, and they exhibit slow, history-dependent dynamics that reflect an exceptionally rug-ged free-energy landscape. This…

Disordered Systems and Neural Networks · Physics 2025-12-25 Naeimeh Tahriri , Vahid Mahdikhah , Jahanfar Abouie , Daryoosh Vashaee

Experiment has established that spin-glasses can support a steady-state spin current $\vec{j}_{i}$. However, the accepted theory of spin glass dynamics permits oscillations but no steady-state spin current. Onsager's irreversible…

Mesoscale and Nanoscale Physics · Physics 2023-04-04 Chen Sun , Wayne M. Saslow

A spin glass is a diluted magnetic material in which the magnetic moments are randomly interacting, with a huge number of metastable states which prevent reaching equilibrium. Spin-glass models are conceptually simple, but require very…

Disordered Systems and Neural Networks · Physics 2023-03-03 Eric Vincent

Spin textures in k-space arising from spin-orbit coupling in non-centrosymmetric crystals find numerous applications in spintronics. We present a mechanism that leads to appearance of k-space spin texture due to spontaneous symmetry…

Strongly Correlated Electrons · Physics 2016-06-24 J. Kunes , D. Geffroy

We show that in mean-field spin glasses, a discontinuous breaking of replica symmetry at the critical inverse temperature $\beta_c$ implies the existence of an intermediate shattered phase. This confirms a prediction from physics regarding…

Probability · Mathematics 2025-06-04 Antonio Auffinger , Ahmed El Alaoui , Mark Sellke

We study the four dimensional Gaussian spin glass in presence of a magnetic field. Using off-equilibrium numerical simulations we have found that the probability distribution of the overlaps is built in the same way as that of the Mean…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

A full mean field solution of a quantum Heisenberg spin glass model is presented in a large-N limit. A spin glass transition is found for all values of the spin S. The quantum critical regime associated with the quantum transition at S=0,…

Disordered Systems and Neural Networks · Physics 2009-10-31 Antoine Georges , Olivier Parcollet , Subir Sachdev
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