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Related papers: A p-Spin Interaction Ashkin-Teller Spin-Glass Mode…

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We study a multi-species spin glass system where the density of each species is kept fixed at increasing volumes. The model reduces to the Sherrington-Kirkpatrick one for the single species case. The existence of the thermodynamic limit is…

Mathematical Physics · Physics 2014-04-14 Adriano Barra , Pierluigi Contucci , Emanuele Mingione , Daniele Tantari

We have numerically investigated the mean-field dynamics of the the $p$-spin interaction spin glass model with p=3 using an efficient method of integrating the dynamic equations. We find a new time scale associated with the onset of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. Kim , A. Latz

This review presents various aspects of a mean-field spin glass model known as the p-spin spherical spin glass model, which has raised a lot of interest in the study of spin glasses, and also for its possible links with a mean-field theory…

Disordered Systems and Neural Networks · Physics 2008-02-03 A. Barrat

A superconductor with interacting paramagnetic impurities is considered. The impurities are coupled via the Ruderman-Kittel-Kasuya-Yoshida interaction. At a temperature Tg, the system of magnetic impurities forms a spin-glass state. We…

Superconductivity · Physics 2009-11-07 Victor Galitski , A. I. Larkin

We show that Glauber dynamics for $ p$-spin glass mixes exponentially slowly at inverse temperatures larger than a constant times $ \ln (p)/p $ for large enough $ p $. This is done by analyzing the energy landscape using Gaussian…

Probability · Mathematics 2026-05-15 Anouar Kouraich , Simone Warzel

After briefly describing the present status of the spin glass theory, we present a conjecture on the exact location of the multicritical point in the phase diagram of finite-dimensional spin glasses. The theory enables us to understand in a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hidetoshi Nishimori , Koujin Takeda , Tomohiro Sasamoto

We analyze the properties of the energy landscape of {\it finite-size} fully connected $p$-spin-like models. In the thermodynamic limit the high temperature phase is described by the schematic Mode Coupling Theory of super-cooled liquids.…

Statistical Mechanics · Physics 2009-10-31 A. Crisanti , F. Ritort

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

We present some numerical results for the Heisenberg spin-glass model with Gaussian interactions, in a three dimensional cubic lattice. We measure the AC susceptibility as a function of temperature and determine an apparent finite…

Other Condensed Matter · Physics 2009-11-10 Marco Picco , Felix Ritort

Systems in which the dipolar energy dominates the magnetic interaction, and the crystal field generates strong anisotropy favoring the longitudinal interaction terms, are considered. Such systems in external magnetic field are expected to…

Disordered Systems and Neural Networks · Physics 2007-05-23 Moshe Schechter , Nicolas Laflorencie

The de Almeida-Thouless (AT) line is the phase boundary in the temperature--magnetic field plane of an Ising spin glass at which a continuous (i.e. second-order) transition from a paramagnet to a replica-symmetry-breaking (RSB) phase…

Statistical Mechanics · Physics 2020-10-07 J. Höller , N. Read

The replica method has been used to calculate the interface free energy associated with the change from periodic to anti-periodic boundary conditions in finite-dimensional p-spin glass models in the phase which at mean-field level has…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. A. Moore

In this paper we propose a short range generalization of the $p$-spin interaction spin-glass model. The model is well suited to test the idea that an entropy collapse is at the bottom-line of the dynamical singularity encountered in…

Condensed Matter · Physics 2009-10-28 Diego Alvarez , Silvio Franz , Felix Ritort

While in the fully-connected limit the solution of the spin-glass model is known, with the existence of a complex transition on a critical line in the temperature-external field phase diagram, in finite dimensions we don't know if a…

Disordered Systems and Neural Networks · Physics 2023-02-13 Maria Chiara Angelini

We present a general framework for incorporating non-reciprocal interactions into the Ising model with Glauber dynamics, without requiring multiple species. We then focus on a model with vision-cone type interactions. We solve it in a fully…

Statistical Mechanics · Physics 2025-05-09 Adrià Garcés , Demian Levis

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

We study from tempered Monte Carlo simulations the magnetic phase diagram of a textured dipolar Ising model on a face centered cubic lattice. The Ising coupling of the model follow the dipole-dipole interaction. The Ising axes are…

Statistical Mechanics · Physics 2020-01-09 V. Russier , J. -J. Alonso

We present the full phase diagram of the spherical $2+p$ spin glass model with $p\geq 4$. The main outcome is the presence of a new phase with both properties of Full Replica Symmetry Breaking (FRSB) phases of discrete models, e.g, the…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Crisanti , L. Leuzzi

In this paper we investigate the superspin glass behavior of a concentrated assembly of interacting maghemite nanoparticles and compare it to that of canonical atomic spin glass systems. ac versus temperature and frequency measurements show…

Disordered Systems and Neural Networks · Physics 2008-04-15 D. Parker , V. Dupuis , F. Ladieu , J. -P. Bouchaud , E. Dubois , R. Perzynski , Eric Vincent

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