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Related papers: Spin-Glass Model for Inverse Freezing

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In this comment, I show that van Hemmen's classical spin-glass model can also account for processes such as inverse crystallization, where a ferromagnetic phase appears at higher temperatures than a glass state. The so far ignored fact is…

Disordered Systems and Neural Networks · Physics 2012-02-08 Eduardo Cuervo Reyes

We analyze the Thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the "spin-disordered regime", which is characterized by the temperature being much larger than the magnetic energy scale but small…

Strongly Correlated Electrons · Physics 2009-11-11 S. Ejima , F. H. L. Essler , F. Gebhard

We include p-spin interactions in a spherical version of a soluble mean-field spin-glass model proposed by van Hemmen. Due to the simplicity of the solutions, which do not require the use of the replica trick, we are able to carry out a…

Disordered Systems and Neural Networks · Physics 2011-11-09 P. T. Muzy , A. P. Vieira , S. R. Salinas

We have examined the role of the BCS pairing mechanism in the formation of the magnetic moment and henceforth a spin glass (SG) phase by studying a fermionic Sherrington-Kirkpatrick model with a local BCS coupling between the fermions. This…

Statistical Mechanics · Physics 2016-08-31 S. G. Magalhaes , Alba Theumann

We present results of a Monte Carlo study of the equilibrium dynamics of the one dimensional long-range Ising spin glass model. By tuning a parameter $\sigma$, this model interpolates between the mean field Sherrington-Kirkpatrick model and…

Disordered Systems and Neural Networks · Physics 2015-07-31 Alain Billoire

We sketch a new framework for the analysis of disordered systems, in particular mean field spin glasses, which is variational in nature and within the formalism of classical thermodynamics. For concreteness, only the Sherrington-Kirkpatrick…

Probability · Mathematics 2019-02-26 Goetz Kersting , Nicola Kistler , Adrien Schertzer , Marius A. Schmidt

We discuss the Sherrington-Kirkpatrick mean-field version of a spin glass within the distributional zeta-function method (DZFM). In the DZFM, since the dominant contribution to the average free energy is written as a series of moments of…

Disordered Systems and Neural Networks · Physics 2021-09-08 C. D. Rodríguez-Camargo , E. A. Mojica-Nava , N. F. Svaiter

The emergence of glassy behavior of the random field Ising model (RFIM) is investigated using an extended mean-field theory approach. Using this formulation, systematic corrections to the standard Bragg-Williams theory can be incorporated,…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. A. Pastor , V. Dobrosavljevic , M. L. Horbach

We study the zero-temperature stochastic Ising model on some connected planar quasi-transitive graphs, which are invariant under rotation and translation. The initial spin configuration is distributed according to a Bernoulli product…

Probability · Mathematics 2023-10-23 Emilio De Santis , Leonardo Lelli

A model of spinless interacting electrons in presence of randomness is examined using an extended dynamical mean-field formulation. When the interaction strength is large as compared to the Fermi energy, a low temperature glassy phase is…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. A. Pastor , V. Dobrosavljevic

In this paper we study the Parisi variational problem for mixed $p$-spin glasses with Ising spins. Our starting point is a characterization of Parisi measures whose origin lies in the first order optimality conditions for the Parisi…

Probability · Mathematics 2017-07-03 Aukosh Jagannath , Ian Tobasco

Motivated by the observation of a spin-glass transition in almost disorder-free Kagome antiferromagnets, and by the specific form of the effective low-energy model of the S=1/2, trimerized Kagome antiferromagnet, we investigate the…

Strongly Correlated Electrons · Physics 2009-11-07 Frederic Mila , David Dean

We consider thermodynamic and dynamic phase transitions in plaquette spin models of glasses. The thermodynamic transitions involve coupled (annealed) replicas of the model. We map these coupled-replica systems to a single replica in a…

Statistical Mechanics · Physics 2015-08-19 Robert M. Turner , Robert L. Jack , Juan P. Garrahan

We study the Hamiltonian dynamics of the spherical spin model with fully-connected two-body interactions drawn from a Gaussian probability distribution. In the statistical physics framework, the potential energy is of the so-called $p=2$…

Statistical Mechanics · Physics 2018-07-04 Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi , Marco Picco , Alessandro Tartaglia

We study the dynamical low temperature behaviour of the Ising spin glass on the Bethe lattice. Starting from Glauber dynamics we propose a cavity like Ansatz that allows for the treatment of the slow (low temperature) part of dynamics.…

Disordered Systems and Neural Networks · Physics 2009-11-13 Martin Kiemes , Heinz Horner

Spin glasses are fundamental probability distributions at the core of statistical physics, the theory of average-case computational complexity, and modern high-dimensional statistical inference. In the mean-field setting, we design…

Data Structures and Algorithms · Computer Science 2025-11-07 Ferenc Bencs , Brice Huang , Daniel Z. Lee , Kuikui Liu , Guus Regts

Based on exact diagonalization data for finite quantum Heisenberg antiferromagnets on two frustrated lattices (two-leg ladder and bilayer) and analytical arguments we map low-energy degrees of freedom of the spin models in a magnetic field…

Strongly Correlated Electrons · Physics 2010-12-22 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

Binary mixtures of large and small particles with disparate size ratio exhibit a rich phenomenology at their glass transition points. In order to gain insights on such systems, we introduce and study a two-component version of the $p$-spin…

Disordered Systems and Neural Networks · Physics 2016-08-03 Harukuni Ikeda , Atsushi Ikeda

We present the full phase diagram of the dumbbell model of spin ice as a function of temperature, chemical potential and staggered chemical potential which breaks the translational lattice symmetry in favour of charge crystal ordering. We…

Strongly Correlated Electrons · Physics 2019-06-24 V. Raban , C. T. Suen , L. Berthier , P. C. W. Holdsworth

A spin-1 transverse Ising model with longitudinal crystal field in a longitudinal magnetic field is examined by introducing an effective field approximation (IEFT) which includes the correlations between different spins that emerge when…

Statistical Mechanics · Physics 2010-10-12 Yusuf Yuksel , Hamza Polat
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