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The transverse-field Ising model is widely studied as one of the simplest quantum spin systems. It is known that this model exhibits a phase transition at the critical inverse temperature $\beta_{\mathrm{c}}$, which is determined by the…

数学物理 · 物理学 2025-09-01 Yoshinori Kamijima , Akira Sakai

In extensive Monte Carlo simulations the phase transition of the random field Ising model in three dimensions is investigated. The values of the critical exponents are determined via finite size scaling. For a Gaussian distribution of the…

凝聚态物理 · 物理学 2009-10-28 Heiko Rieger

We report on an experimental study of the Lipkin-Meshkov-Glick model of quantum spins interacting at infinite range in a transverse magnetic field, which exhibits a ferromagnetic phase transition in the thermodynamic limit. We use…

Phase diagram, critical properties and thermodynamic functions of the two-dimensional field-free quantum-spin-1/2 XXZ model has been calculated globally using a numerical renormalization group theory. The nearest-neighbor spin-spin…

统计力学 · 物理学 2020-02-10 Ozan S. Sarıyer

We investigate the critical behaviors of correlation length and critical exponents for strongly interacting bosons in a two-dimensional optical lattice via quantum Monte Carlo simulations. By comparing the full numerical results to those…

量子气体 · 物理学 2017-05-24 Hao Lee , Shiang Fang , Daw-Wei Wang

Vortex critical dynamics of the two dimensional XY spin glass is studied by Monte Carlo methods in the Coulomb-gas representation. A scaling analysis of the nonlinear response is used to calculate the correlation length exponent $\nu $ of…

统计力学 · 物理学 2009-10-31 Enzo Granato

We study the field dependence of the entanglement of formation in anisotropic S=1/2 antiferromagnetic chains and two-leg ladders displaying a T=0 field-driven quantum phase transition. The analysis is carried out via Quantum Monte Carlo…

量子物理 · 物理学 2007-05-23 Tommaso Roscilde , Paola Verrucchi , Andrea Fubini , Stephan Haas , Valerio Tognetti

The one-dimensional extended isotropic XY model (s=1/2) in a transverse field with uniform long-range interactions among the \textit{z} components of the spin is considered. The model is exactly solved by introducing the gaussian and…

统计力学 · 物理学 2009-12-11 F. G. Ribeiro , J. P. de Lima , L. L. Goncalves

We study the transition of short range Ising spin glasses in a magnetic field, within a general replica symmetric field theory, which contains three masses and eight cubic couplings, that is defined in terms of the fields representing the…

无序系统与神经网络 · 物理学 2016-08-31 I. R. Pimentel , T. Temesvari , C. De Dominicis

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…

无序系统与神经网络 · 物理学 2009-10-31 Barbara Drossel , Hemant Bokil , M. A. Moore

Recent experimental and numerical studies of the critical-temperature exponent $\phi$ for the superfluid-Bose glass universality in three-dimensional systems report strong violations of the key quantum critical relation, $\phi=\nu z$, where…

强关联电子 · 物理学 2014-06-05 Zhiyuan Yao , Karine P. C. da Costa , Mikhail Kiselev , Nikolay Prokof'ev

We introduce a one-dimensional model which interpolates between the Ising model and the quantum compass model with frustrated pseudospin interactions $\sigma_i^z\sigma_{i+1}^z$ and $\sigma_i^x\sigma_{i+1}^x$, alternating between even/odd…

强关联电子 · 物理学 2007-05-23 Wojciech Brzezicki , Jacek Dziarmaga , Andrzej M. Oles

We study the field dependence of the entanglement of formation in anisotropic S=1/2 antiferromagnetic chains displaying a T=0 field-driven quantum phase transition. The analysis is carried out via Quantum Monte Carlo simulations. At zero…

强关联电子 · 物理学 2009-11-10 Tommaso Roscilde , Paola Verrucchi , Andrea Fubini , Stephan Haas , Valerio Tognetti

We study the critical behavior of two-dimensional short-range quantum spin glasses by numerical simulations. Using a parallel tempering algorithm, we calculate the Binder cumulant for the Ising spin glass in a transverse magnetic field with…

统计力学 · 物理学 2016-07-26 D. A. Matoz-Fernandez , F. Roma

The problem of the survival of a spin glass phase in the presence of a field has been a challenging one for a long time. To date, all attempts using equilibrium Monte Carlo methods have been unconclusive. In their comment to our paper,…

无序系统与神经网络 · 物理学 2009-10-31 J. Houdayer , O. C. Martin

Within the framework of the effective potential theory of the structural glass transition, we calculate for the p-spin model a static nonlinear susceptibility related to a four-point density correlation function, and show that it grows and…

无序系统与神经网络 · 物理学 2009-10-13 Claudio Donati , Silvio Franz , Giorgio Parisi , Sharon C. Glotzer

Recently has been observed for some one-dimensional models that exhibit unexpected pseudo-transitions and quasi-phases. This pseudo-transition resembles a first- and second-order phase transition simultaneously. One of those models is the…

强关联电子 · 物理学 2018-06-18 I. M. Carvalho , J. Torrico , S. M. de Souza , M. Rojas , O. Rojas

The critical behavior of Ising model on a one-dimensional network, which has long-range connections at distances $l>1$ with the probability $\Theta(l)\sim l^{-m}$, is studied by using Monte Carlo simulations. Through studying the Ising…

斑图形成与孤子 · 物理学 2009-11-13 YunFeng Chang , Liang Sun , Xu Cai

Extensive simulations are made of link and spin overlaps in four and five dimensional Ising Spin Glasses (ISGs). Moments and moment ratios of the mean link overlap distributions (the variance, the kurtosis and the skewness) show clear…

无序系统与神经网络 · 物理学 2013-05-06 P. H. Lundow , I. A. Campbell

Dilute dipolar Ising magnets remain a notoriously hard problem to tackle both analytically and numerically because of long-ranged interactions between spins as well as rare region effects. We study a new type of anisotropic dilute dipolar…

无序系统与神经网络 · 物理学 2019-08-28 Tushar Kanti Bose , Roderich Moessner , Arnab Sen