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In this work we study numerically a short range p-spin glass model in three dimensions. The behaviour of the model appears to be remarkably different from mean field predictions. In fact it shares some features typical of models with full…

Disordered Systems and Neural Networks · Physics 2009-10-31 Matteo Campellone , Barbara Coluzzi , Giorgio Parisi

We compare aging in a disordered ferromagnet and in a spin glass, by studying the different phases of a reentrant system. We have measured the relaxation of the low-frequency ac susceptibility, in both the ferromagnetic and spin-glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Vincent , V. Dupuis , M. Alba , J. Hammann , J. -P. Bouchaud

We consider the random field Ising model and show rigorously that the spin glass susceptibility at equilibrium is always bounded by the ferromagnetic susceptibility, and therefore that no spin glass phase can be present at equilibrium out…

Disordered Systems and Neural Networks · Physics 2010-05-24 Florent Krzakala , Federico Ricci-Tersenghi , Lenka Zdeborová

We study the $\pm J$ three-dimensional Ising model with a longitudinal anisotropic bond randomness on the simple cubic lattice. The random exchange interaction is applied only in the $z$ direction, whereas in the other two directions, $xy$…

Statistical Mechanics · Physics 2015-04-29 T. Papakonstantinou , N. G. Fytas , A. Malakis , I. Lelidis

We compare the probability distributions and Binder cumulants of the overlap in the 3D Ising spin glass with those of the magnetization in the ferromagnetic 2D XY model. We analyze similarities and differences. Evidence for the existence of…

Disordered Systems and Neural Networks · Physics 2009-10-30 David Iñiguez , Enzo Marinari , Giorgio Parisi , Juan J. Ruiz-Lorenzo

The ferromagnetic Ising spins are modeled on a recursive lattice constructed from random-angled rhombus units with stochastic configurations, to study the magnetic properties of the bulk Fe-based metallic glass. The integration of spins on…

Materials Science · Physics 2015-07-06 Ran Huang , Ling Zhang , Chong Chen , Chengjie Wu , Linyin Yan

We investigate an XY spin-glass model in which both spins and interactions (or couplings) evolve in time, but with widely separated time-scales. For large times this model can be solved using replica theory, requiring two levels of…

Disordered Systems and Neural Networks · Physics 2009-10-31 G Jongen , J Anemueller , D Bolle , A C C Coolen , C Perez-Vicente

The evidently supersymmetric four-dimensional Wess-Zumino model with quenched disorder is considered at the one-loop level. The infrared fixed points of a beta-function form the moduli space $M = RP^2$ where two types of phases were found:…

High Energy Physics - Theory · Physics 2014-11-18 Sergei Gukov

We consider the Potts spin glass with additional ferromagnetic interaction parametrized by $t$. It has long been observed that the Potts color symmetry breaking for the spin glass order parameter is closely related to the ferromagnetic…

Disordered Systems and Neural Networks · Physics 2026-01-13 Hong-Bin Chen

Spin-liquid and spin-glass states represent two distinct phases of disordered quantum spin systems. These states are, in principle, distinguished by quantum-entangled fluctuations and spin freezing, but identifying each state and…

Strongly Correlated Electrons · Physics 2025-12-09 Shusei Wadashima , Yukitoshi Motome

It is shown that the quantum phase transition in metallic non-s-wave ferromagnets, or spin nematics, is generically of first order. This is due to a coupling of the order parameter to soft electronic modes that play a role analogous to that…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

We prove the existence of one-step replica symmetry breaking (1RSB) for the mean field Ising spin glasses at finite temperature and identify the first critical temperature in Gardner transition. Specifically, Gardner conjectured that for…

Probability · Mathematics 2024-09-11 Yuxin Zhou

Brief review is given on recent numerical research of the ordering of two typical models of spin glasses (SGs), the three-dimensional (3D) Ising SG and the 3D Heisenberg SG models. Particular attention is paid to the questions of whether…

Disordered Systems and Neural Networks · Physics 2015-05-18 Hikaru Kawamura

A generalised integer S Ising spin glass model is analysed using the replica formalism. The bilinear couplings are assumed to have a Gaussian distribution with ferromagnetic mean <J_ij> = Jo. Incorporation of a quadrupolar interaction term…

Statistical Mechanics · Physics 2009-10-28 G. R. Schreiber

We analyse the competition between spin glass (SG) order and local pairing superconductivity (SC) in the fermionic Ising spin glass with frustrated fermionic spin interaction and nonrandom attractive interaction. The phase diagram is…

Condensed Matter · Physics 2009-10-31 H. Feldmann , R. Oppermann

This article reviews recent progress of the analytical theory of quantum spin glasses (QSG). Exact results for infinite range and one loop renormalisation group calculations for finite range models of either insulating or metallic type are…

Disordered Systems and Neural Networks · Physics 2009-10-28 R. Oppermann , B. Rosenow

The Kondo lattice model has been analyzed in the presence of a random inter-site interaction among localized spins with non zero mean Jo and standard deviation J. Following the same framework previously introduced by us, the problem is…

Strongly Correlated Electrons · Physics 2015-06-24 S. G. Magalhaes , A. A. Schmidt , Alba Theumann , B. Coqblin

We analytically estimate the locations of phase transition points in the ground state for the $\pm J$ random bond Ising model with asymmetric bond distributions on the square lattice. We propose and study the percolation transitions for two…

Disordered Systems and Neural Networks · Physics 2014-05-21 Chiaki Yamaguchi

The critical behavior of a family of fully connected mean-field models with quenched disorder, the $M-p$ Ising spin glass, is analyzed, displaying a crossover between a continuous and a random first order phase transition as a control…

Disordered Systems and Neural Networks · Physics 2015-05-20 F. Caltagirone , U. Ferrari , L. Leuzzi , G. Parisi , T. Rizzo

Spin glasses are the paradigm of complex systems. These materials present really slow dynamics. However, the nature of the spin glass phase in finite dimensional systems is still controversial. Different theories describing the low…

Disordered Systems and Neural Networks · Physics 2020-06-24 J. J. Ruiz-Lorenzo