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We investigate the properties of the Gibbs states and thermodynamic observables of the spherical model in a random field. We show that on the low-temperature critical line the magnetization of the model is not a self-averaging observable,…

Statistical Mechanics · Physics 2009-11-13 A. E. Patrick

We introduce the strongly-interacting trap model, a version of Bouchaud's trap model for glasses [Bouchaud J-P 1992 {\em J. Phys. I France {\bf 2}} 1705]. At finite temperatures the model exhibits glassy relaxation over intermediate…

Statistical Mechanics · Physics 2009-10-31 David Head

We use the Bethe approximation to calculate the critical temperature for the transition from a paramagnetic to a glassy phase in spin-glass models on real-world graphs. Our criterion is based on the marginal stability of the minimum of the…

Statistical Mechanics · Physics 2007-05-23 J. M. Mooij , H. J. Kappen

We study Z(2) lattice gauge theory on triangulations of a compact 3-manifold. We reformulate the theory algebraically, describing it in terms of the structure constants of a bidimensional vector space H equipped with algebra and coalgebra…

High Energy Physics - Theory · Physics 2008-11-26 N. Yokomizo , P. Teotonio-Sobrinho , J. C. A. Barata

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

The aging in a Heisenberg-like spin glass Ag(11 at% Mn) is investigated by measurements of the zero field cooled magnetic relaxation at a constant temperature after small temperature shifts $|\Delta T/T_g| < 0.012$. A crossover from fully…

Disordered Systems and Neural Networks · Physics 2009-11-07 P. E. Jönsson , H. Yoshino , P. Nordblad

We study the process of relaxation back to thermal equilibrium in $(1+1)$-dimensional conformal field theory at finite temperature. When the size of the system is much larger than the inverse temperature, perturbations decay exponentially…

High Energy Physics - Theory · Physics 2009-11-07 Danny Birmingham , Ivo Sachs , Sergey N. Solodukhin

Thermodynamical properties of an interacting boson system at finite temperatures and zero chemical potential are studied within the framework of the Skyrme-like mean-field toy model. It is assumed that the mean field contains both…

Nuclear Theory · Physics 2019-02-20 D. Anchishkin , I. Mishustin , H. Stoecker

We investigate zero and finite temperature properties of the one-dimensional spin-glass model for vector spins in the limit of an infinite number m of spin components where the interactions decay with a power, \sigma, of the distance. A…

Disordered Systems and Neural Networks · Physics 2012-07-27 Frank Beyer , Martin Weigel , M. A. Moore

We introduce a mean field spin glass model with gaussian distribuited spins and pairwise interactions, whose couplings are drawn randomly from a normal gaussian distribution too. We completely control the main thermodynamical properties of…

Mathematical Physics · Physics 2012-05-18 Adriano Barra , Giuseppe Genovese , Francesco Guerra , Daniele Tantari

Zeros of the $n$th moment of the partition function $[Z^n]$ are investigated in a vanishing temperature limit $\beta \to \infty$, $n \to 0$ keeping $y=\beta n \sim O(1)$. In this limit, the moment parameterized by $y$ characterizes the…

Disordered Systems and Neural Networks · Physics 2009-11-13 Tomoyuki Obuchi , Yoshiyuki Kabashima , Hidetoshi Nishimori

A first-order, confinement/deconfinement phase transition appears in the finite temperature behavior of many non-Abelian gauge theories. These theories play an important role in proposals for completion of the Standard Model of particle…

High Energy Physics - Lattice · Physics 2026-04-10 Ed Bennett , Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino , Fabian Zierler

This work is dedicated to the study of a supersymmetric quantum spherical spin system with short-range interactions. We examine the critical properties both a zero and finite temperature. The model undergoes a quantum phase transition at…

Statistical Mechanics · Physics 2020-02-24 L. V. T. Tavares , L. G. dos Santos , G. T. Landi , Pedro R. S. Gomes , P. F. Bienzobaz

We reveal a divergent issue associated with the mean-field theory for Bose gases in optical lattices constructed by the widely used straightforward mean-field decoupling of the hopping term, where the corresponding mean-field Hamiltonian…

Quantum Gases · Physics 2022-03-02 Liang He , Su Yi

A practical finite temperature theory is developed for the superfluid regime of a weakly interacting Bose gas in an optical lattice with additional harmonic confinement. We derive an extended Bose-Hubbard model that is valid for shallow…

Quantum Gases · Physics 2009-10-13 D. Baillie , P. B. Blakie

We study a three-dimensional plaquette spin model whose low temperature dynamics is glassy, due to localised defects and effective kinetic constraints. While the thermodynamics of this system is smooth at all temperatures, we show that…

Statistical Mechanics · Physics 2016-02-10 Robert L. Jack , Juan P. Garrahan

In this paper we shall study a gauge theory of nodal spinons which appears as a low-energy effective theory for antiferromagnetic (AF) Heisenberg models. In most of studies on the nodal spinons given so far, the gauge interaction between…

Strongly Correlated Electrons · Physics 2010-11-05 Ikuo Ichinose

We investigate the zero-temperature glassy transitions in the square-lattice +- J Ising model, with bond distribution $P(J_{xy}) = p \delta(J_{xy} - J) + (1-p) \delta(J_{xy} + J)$; p=1 and p=1/2 correspond to the pure Ising model and to the…

Disordered Systems and Neural Networks · Physics 2010-08-25 Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We describe the interplay of quantum and thermal fluctuations in the infinite-range Heisenberg spin glass. This model is generalized to SU(N) symmetry, and we describe the phase diagram as a function of the spin S and the temperature T. The…

Strongly Correlated Electrons · Physics 2009-10-31 A. Georges , O. Parcollet , S. Sachdev

By using frustration-preserving hard-spin mean-field theory, we investigated the phase transition dynamics in the three-dimensional field-free $\pm J$ Ising spin glass model. As the temperature $T$ is decreased from paramagnetic phase at…

Statistical Mechanics · Physics 2021-09-29 Ozan S. Sarıyer
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