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We present a {\it numerically exact} study of the Hubbard model with spin-dependent anisotropic hopping on the square lattice using auxiliary-field quantum Monte Carlo method. At half filling, the system undergoes Ising phase transitions…

强关联电子 · 物理学 2025-03-13 Zhuotao Xie , Yu-Feng Song , Yuan-Yao He

We consider zero-temperature, stochastic Ising models with nearest-neighbor interactions and an initial spin configuration chosen from a symmetric Bernoulli distribution (corresponding physically to a deep quench). Whether a final state…

无序系统与神经网络 · 物理学 2009-10-31 C. M. Newman , D. L. Stein

Scaling arguments and precise simulations are used to study the square lattice $\pm J$ Ising spin glass, a prototypical model for glassy systems. Droplet theory predicts, and our numerical results show, entropically-stabilized long range…

无序系统与神经网络 · 物理学 2011-07-21 Creighton K. Thomas , David A. Huse , A. Alan Middleton

We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This…

统计力学 · 物理学 2015-05-18 Nuno Crokidakis

The phase diagram of the classical anisotropic (XXZ) Heisenberg model on the 2-dimensional triangular lattice is investigated using Monte Carlo methods. In the easy-axis limit, two finite temperature vortex unbinding transitions have been…

统计力学 · 物理学 2009-10-31 W. Stephan , B. W. Southern

We study the phase diagram and critical behavior of the two-dimensional square-lattice fully frustrated XY model (FFXY) and of two related models, a lattice discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of…

统计力学 · 物理学 2011-02-16 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

The zero-temperature random-field Ising model is solved analytically for magnetisation vs external field for a bi-layered Bethe lattice. The mechanisms of infinite avalanches which are observed for small values of disorder are established.…

统计力学 · 物理学 2013-08-21 Thomas P Handford , Francisco J Pérez-Reche , Sergei N Taraskin

We analyze changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interactions are random in their values and signs. Formally, the…

无序系统与神经网络 · 物理学 2020-02-06 Boris Kryzhanovsky , Magomed Malsagov , Iakov Karandashev

We investigate the long-time properties of the Ising-Glauber model on a periodic cubic lattice after a quench to zero temperature. In contrast to the conventional picture from phase-ordering kinetics, we find: (i) Domains at long time are…

统计力学 · 物理学 2011-03-22 J. Olejarz , P. L. Krapivsky , S. Redner

By means of parallel tempering Monte Carlo simulations we find strong evidence for a finite-temperature spin-glass transition in a system of diluted classical Heisenberg dipoles randomly placed on the sites of a simple cubic lattice. We…

无序系统与神经网络 · 物理学 2009-12-18 Pawel Stasiak , Michel J. P. Gingras

We present results of Monte Carlo simulations, using parallel tempering, on the three- and four-dimensional Edwards-Anderson Ising spin glass with Gaussian couplings at low temperatures with free boundary conditions. Our results suggest…

无序系统与神经网络 · 物理学 2007-05-23 Helmut G. Katzgraber , A. P. Young

A numerical diagonalization technique with canonical Monte-Carlo simulation algorithm is used to study the phase transitions from low temperature (ordered) phase to high temperature (disordered) phase of spinless Falicov-Kimball model on a…

强关联电子 · 物理学 2015-03-20 Umesh K. Yadav , T. Maitra , Ishwar Singh

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…

强关联电子 · 物理学 2010-12-22 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

We study the phase diagram and critical properties of quantum Ising chains with long-range ferromagnetic interactions decaying in a power-law fashion with exponent $\alpha$, in regimes of direct interest for current trapped ion experiments.…

统计力学 · 物理学 2021-10-13 E. Gonzalez-Lazo , M. Heyl , M. Dalmonte , A. Angelone

We consider zero-temperature, stochastic Ising models with nearest-neighbor interactions in two and three dimensions. Using both symmetric and asymmetric initial configurations, we study the evolution of the system with time. We examine the…

统计力学 · 物理学 2009-11-10 Palani Sundaramurthy , D. L. Stein

The scaling of the transition temperature into an ordered phase close to a quantum critical point as well as the order parameter fluctuations inside the quantum critical region provide valuable information about universal properties of the…

强关联电子 · 物理学 2016-04-29 Stephan Hesselmann , Stefan Wessel

We study the warming process of a semi-infinite cylindrical Ising lattice initially ordered and coupled at the boundary to a heat reservoir. The adoption of a proper microcanonical dynamics allows a detailed study of the time evolution of…

统计力学 · 物理学 2015-06-03 Elena Agliari , Mario Casartelli , Alessandro Vezzani

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…

统计力学 · 物理学 2016-02-10 Robert L. Jack , Juan P. Garrahan

The dynamics of a random (quenched) field Ising model (in two dimension) at zero temperature in the presence of an additional sinusoidally oscillating homogeneous (in space) magnetic field has been studied by Monte Carlo simulation using…

凝聚态物理 · 物理学 2015-06-25 Muktish Acharyya

Through the direct decoration transformation approach, we obtain a general solution for the pentagonal Ising model, showing its equivalence to the isotropic free-fermion eight-vertex model. We study the ground-state phase diagram, in which…

统计力学 · 物理学 2015-03-19 M. Rojas , Onofre Rojas , S. M. de Souza