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Spin glasses, generally defined as disordered systems with randomized competing interactions, are a widely investigated complex system. Theoretical models describing spin glasses are broadly used in other complex systems, such as those…

Magnetic phenomena of the superantiferromagnetic Ising model in both uniform longitudinal ($H$) and transverse ($\Omega $) magnetic fields are studied by employing a mean-field variational approach based on Peierls-Bogoliubov inequality for…

Statistical Mechanics · Physics 2017-03-08 Denise A. do Nascimento , Josefa T. Pacobahyba , Minos A. Neto , Octavio R. Salmon , J. A. Plascak

In a recent paper we found strong evidence from simulations that the Isingantiferromagnet on ``thin'' random graphs - Feynman diagrams - displayed amean-field spin glass transition. The intrinsic interest of considering such random graphs…

High Energy Physics - Lattice · Physics 2016-09-01 C. F. Baillie , W. Janke , D. A. Johnston , P. Plechac

We consider m two-dimensional semi-infinite planes of Ising spins joined together through surface spins and study the critical behaviour near to the junction. The m=0 limit of the model - according to the replica trick - corresponds to the…

Statistical Mechanics · Physics 2007-05-23 F. Igloi , L. Turban , B. Berche

Extensive simulations are made on the bimodal Ising Spin Glass (ISG) in dimension four. The transition temperature is established using a combination of standard finite size scaling and of thermodynamic derivative peak data. Measurements in…

Disordered Systems and Neural Networks · Physics 2013-10-15 P. H. Lundow , I. A. Campbell

We study a p-spin spin-glass model to understand if the finite-temperature glass transition found in the mean-field regime of p-spin models, and used to model the behavior of structural glasses, persists in the non-mean-field regime. By…

Disordered Systems and Neural Networks · Physics 2010-02-18 Derek Larson , Helmut G. Katzgraber , M. A. Moore , A. P. Young

We study the three-spin model and the Ising spin glass in a field using Migdal-Kadanoff approximation. The flows of the couplings and fields indicate no phase transition, but they show even for the three-spin model a slow crossover to the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Barbara Drossel , Hemant Bokil , M. A. Moore

We consider long, finite-width strips of Ising spins with randomly distributed couplings. Frustration is introduced by allowing both ferro- and antiferromagnetic interactions. Free energy and spin-spin correlation functions are calculated…

Statistical Mechanics · Physics 2009-10-31 F. D. A. Aarao Reis , S. L. A. de Queiroz , Raimundo R. dos Santos

Spin-glass and chiral-glass orderings in three-dimensional Heisenberg spin glasses are studied both by equilibrium and off-equilibrium Monte Carlo simulations. Fully isotropic model is found to exhibit a finite-temperature chiral-glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Kawamura , K. Hukushima

We use computer simulations to investigate the extended phase diagram of a supercooled liquid linearly coupled to a quenched reference configuration. An extensive finite-size scaling analysis demonstrates the existence of a random-field…

Statistical Mechanics · Physics 2020-10-29 Benjamin Guiselin , Ludovic Berthier , Gilles Tarjus

It is shown that continuously changing the effective number of interacting particles in p-spin-glass-like model allows to describe the transition from the full replica symmetry breaking glass solution to stable first replica symmetry…

Statistical Mechanics · Physics 2017-03-08 T. I. Schelkacheva , N. M. Chtchelkatchev

The low temperature dynamics of the two- and three-dimensional Ising spin glass model with Gaussian couplings is investigated via extensive Monte Carlo simulations. We find an algebraic decay of the remanent magnetization. For the…

Condensed Matter · Physics 2009-10-28 J. Kisker , L. Santen , M. Schreckenberg , H. Rieger

We study universality in three-dimensional Ising spin glasses by large-scale Monte Carlo simulations of the Edwards-Anderson Ising spin glass for several choices of bond distributions, with particular emphasis on Gaussian and bimodal…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , Mathias Koerner , A. P. Young

We consider $N$ two-dimensional Ising models coupled in presence of quenched disorder and use scale invariant scattering theory to exactly show the presence of a line of renormalization group fixed points for any fixed value of $N$ other…

Statistical Mechanics · Physics 2025-01-28 Gesualdo Delfino

We consider the effects of weak measurements on the quantum critical ground state of the one-dimensional (a) tricritical and (b) critical quantum Ising model, by measuring in (a) the local energy and in (b) the local spin operator in a…

Statistical Mechanics · Physics 2024-09-04 Rushikesh A. Patil , Andreas W. W. Ludwig

The spin-glass transition in external magnetic field is studied 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…

Disordered Systems and Neural Networks · Physics 2013-05-29 L Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

The spontaneous magnetization is proved to vanish continuously at the critical temperature for a class of ferromagnetic Ising spin systems which includes the nearest neighbor ferromagnetic Ising spin model on $\mathbb Z^d$ in $d=3$…

Mathematical Physics · Physics 2017-09-20 Michael Aizenman , Hugo Duminil-Copin , Vladas Sidoravicius

We consider a two-dimensional Ising field theory on a space with boundary in the presence of a piecewise constant boundary magnetic field which is allowed to change value discontinuously along the boundary. We assume zero magnetic field in…

High Energy Physics - Theory · Physics 2022-11-23 Anatoly Konechny

Using large-scale Monte Carlo simulations that combine parallel tempering with specialized cluster updates, we show that Ising spin glasses with Levy-distributed interactions share the same universality class as Ising spin glasses with…

Disordered Systems and Neural Networks · Physics 2011-05-17 Juan Carlos Andresen , Katharina Janzen , Helmut G. Katzgraber

The magnetic critical properties of two-dimensional Ising spin glasses are controversial. Using exact ground state determination, we extract the properties of clusters flipped when increasing continuously a uniform field. We show that these…

Disordered Systems and Neural Networks · Physics 2009-11-13 F. Liers , O. C. Martin