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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

Mixed spin-1/2 and spin-1 Ising ferrimagnets on a triangular lattice with sublattices A, B and C are studied for two spin value distributions $(S_{\rm A},S_{\rm B},S_{\rm C})=(1/2,1/2,1)$ and $(1/2,1,1)$ by Monte Carlo simulations. The…

Statistical Mechanics · Physics 2015-06-02 M. Žukovič , A. Bobák

Transport studies of a bent quantum Hall junction at integer filling factors show strongly insulating states at higher fields. In this paper we analyze the strongly insulating behavior as a function of temperature T and dc bias V, in order…

Mesoscale and Nanoscale Physics · Physics 2008-07-15 L. Steinke , D. Schuh , M. Bichler , G. Abstreiter , M. Grayson

A two-dimensional half-filled lattice gas model with nearest-neighbor attractive interaction is studied where particles are coupled to two thermal baths at different temperatures $T_1$ and $T_2$. The hopping of particles is governed by the…

Statistical Mechanics · Physics 2009-10-31 Attila Szolnoki

We study the temperature dependence of the conductivity of the 2D electronic solid. In realistic samples, a domain structure forms in the solid and each domain randomly orients in the absence of the in-plane field. At higher temperature,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Shi-Jie Yang , Yue Yu

A two-temperature lattice gas model with repulsive nearest-neighbour interactions is studied using Monte Carlo simulations and dynamical mean-field approximation. The evolution of the two-dimensional, half-filled system is described by an…

Statistical Mechanics · Physics 2009-10-30 Attila Szolnoki

We study spin-$S$ Ising models with $p$-spin interactions on the one-dimensional chain and the two-dimensional square lattice. Here, $S$ denotes the magnitude of the spin and $p$ represents the number of spins involved in each interaction.…

Statistical Mechanics · Physics 2025-02-21 Kohei Suzuki

A mixed spin-1/2 and spin-3/2 Ising model on a decorated square lattice with a nearest- neighbor interaction, next-nearest-neighbor bilinear interaction, three-site four-spin in- teraction and single-ion anisotropy is exactly investigated…

Statistical Mechanics · Physics 2017-08-23 Viliam Štubňa , Michal Jaščur

The critical behavior of a hybrid spin-electron model with localized Ising spins placed on nodal sites and mobile electrons delocalized over bonds between two nodal lattice sites is analyzed by the use of a generalized decoration-iteration…

Statistical Mechanics · Physics 2020-08-31 H. Čenčariková , N. Tomašovičová

We investigate the localization and topological transitions in a one-dimensional (interacting) non-Hermitian quasiperiodic lattice, which is described by a generalized Aubry-Andr\'{e}-Harper model with irrational modulations in the…

Quantum Physics · Physics 2021-03-31 Ling-Zhi Tang , Guo-Qing Zhang , Ling-Feng Zhang , Dan-Wei Zhang

We investigate the dynamics of a 2D Ising model on a square lattice with conservative Kawasaki dynamics in the bulk, coupled with two external reservoirs that pull the dynamics out of equilibrium. Two different mechanisms for the action of…

Statistical Mechanics · Physics 2019-06-26 M. Colangeli , C. Giberti , C. Vernia , M. Kröger

A harmonic oscillator linearly coupled with a linear chain of Ising spins is investigated. The $N$ spins in the chain interact with their nearest neighbours with a coupling constant proportional to the oscillator position and to $N^{-1/2}$,…

Statistical Mechanics · Physics 2010-06-22 A. Prados , L. L. Bonilla , A. Carpio

The d-dimensional n-spin facilitated kinetic Ising model is studied analytically starting from usual master equations and their transformation into a Fock-space representation. The evolution of relevant operators is rewritten in terms of a…

Statistical Mechanics · Physics 2009-10-31 Mario Einax , Michael Schulz

We study the decoherence of a spin-1/2 induced by an environment which is on the verge of a continuous phase transition. We consider spin environments described by the ferromagnetic and antiferromagnetic Heisenberg models on a square…

Mesoscale and Nanoscale Physics · Physics 2007-06-15 S. Camalet R. Chitra

We analyze the evolution from the weak coupling (BCS-like limit) to the strong coupling limit of tightly bound local pairs (LP's) in the 2D asymmetric attractive Hubbard model, in the presence of the Zeeman magnetic field ($h$). The broken…

Strongly Correlated Electrons · Physics 2013-09-27 Agnieszka Kujawa-Cichy

Using Cellular Automata, we simulate spin systems corresponding to $2d$ Ising model with various kinds of boundary conditions (bcs). The appearance of spontaneous magnetization in the absence of magnetic field is studied with a $64\times64$…

Statistical Mechanics · Physics 2018-11-05 Jahangir Mohammed , Swapna Mahapatra

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest…

Statistical Mechanics · Physics 2014-12-10 Oscar A. Pinto , Federico Romá , Sebastian Bustingorry

Using previous results from boundary conformal field theory and integrability, a phase diagram is derived for the 2 dimensional Ising model at its bulk tri-critical point as a function of boundary magnetic field and boundary spin-coupling…

Statistical Mechanics · Physics 2008-11-26 Ian Affleck

Comparing experimental data for high temperature cuprate superconductors with numerical results for electronic models, it is becoming apparent that a hopping along the plaquette diagonals has to be included to obtain a quantitative…

Condensed Matter · Physics 2009-10-28 Daniel Duffy , Adriana Moreo

The effect of a localized drive on the steady state of an interface separating two phases in coexistence is studied. This is done using a spin conserving kinetic Ising model on a two dimensional lattice with cylindrical boundary conditions,…

Statistical Mechanics · Physics 2014-11-18 Tridib Sadhu , Zvi Shapira , David Mukamel
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