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We study the spin-spin correlation function in or near the T=0 ground state of the antiferromagnetic Ising model on a triangular lattice. At zero temperature its modulation on the sublattices gives rise to two Bragg peaks in the structure…

统计力学 · 物理学 2008-02-03 Jesper Lykke Jacobsen , Hans C. Fogedby

We study a zero-temperature phase transition in the random field Ising model on scale-free networks with the degree exponent $\gamma$. Using an analytic mean-field theory, we find that the spins are always in the ordered phase for…

统计力学 · 物理学 2007-05-23 Sang Hoon Lee , Hawoong Jeong , Jae Dong Noh

Random fields of scales result when the class of musical scales is thought as a set of sites, and a site can be in one of two possible states (or spins): On or Off. We present a flexible simulated annealing model that produces generic…

统计力学 · 物理学 2025-07-02 Ricardo Gómez Aíza

We investigate the frustrated $J_1$-$J_2$ Ising model with nearest-neighbor interaction $J_1$ and next-nearest-neighbor interaction $J_2$ in two kinds of generalized triangular lattices (GTLs) employing the Wang--Landau Monte Carlo method…

统计力学 · 物理学 2024-06-28 Hoseung Jang , Unjong Yu

The effects of locally random magnetic fields are considered in a nonequilibrium Ising model defined on a square lattice with nearest-neighbors interactions. In order to generate the random magnetic fields, we have considered random…

统计力学 · 物理学 2009-11-13 N. Crokidakis

A bivariate version of the multicanonical Monte Carlo method and its application to the simulation of the three-dimensional $\pm J$ Ising spin glass are described. We found the autocorrelation time associated with this particular…

无序系统与神经网络 · 物理学 2009-09-25 Naomichi Hatano , James E. Gubernatis

We study the behavior of the quarter-filled Kondo lattice model on a triangular lattice by combining a zero-temperature variational approach and finite-temperature Monte-Carlo simulations. For intermediate coupling between itinerant…

强关联电子 · 物理学 2011-11-01 Yasuyuki Kato , Ivar Martin , C. D. Batista

An inhomogeneous random recursive lattice was constructed from the multi-branched Husimi square lattice. The number of repeating units connected on one vertex was randomly set to be 2 or 3 with a quenched ratio $P_2$ or $P_3$ with…

统计力学 · 物理学 2016-09-21 Ran Huang

We study the anti-ferromagnetic six-state clock model with nearest neighbor interactions on a triangular lattice with extensive Monte-Carlo simulations. We find clear indications of two phase transitions at two different temperatures: Below…

统计力学 · 物理学 2009-11-07 J. D. Noh , H. Rieger , M. Enderle , K. Knorr

The Ashkin-Teller model is a pair of interacting Ising models and has two parameters: $J$ is a coupling constant in the Ising models and $U$ describes the strength of the interaction between them. In the ferromagnetic case $J,U>0$ on the…

概率论 · 数学 2023-01-26 Yacine Aoun , Moritz Dober , Alexander Glazman

The phase transition of a random mixed-bond Ising ferromagnet on a cubic lattice model is studied both numerically and analytically. In this work, we use the Cluster algorithms of Wolff and Glauber to simulate the dynamics of the system. We…

无序系统与神经网络 · 物理学 2010-02-02 J. B. Santos-Filho , N. O. Moreno , Douglas F. de Albuquerque

The study of the Ashkin-Teller model (ATM) of spin-3/2 on a hypercubic lattice is undertaken via Monte Carlo simulation. The phase diagrams are displayed and discussed in the physical parameter space. Rich physical properties are recovered,…

统计力学 · 物理学 2015-10-23 R. Boudefla , S. Bekhechi , F. Hontinfinde

The study of nonequilibrium steady-state (NESS) in the Ising model offers rich insights into the properties of complex systems far from equilibrium. This paper explores the nature of NESS phase transitions in two-dimensional (2D)…

统计力学 · 物理学 2024-09-05 Dagne Wordofa Tola , Mulugeta Bekele

Using the Monte-Carlo method, we study the magnetic properties of the Ashkin-Teller model (ATM) under the effect of the crystal field with spins $S = 1$ and $\sigma = 3/2$. First, we determine the most stable phases in the phase diagrams at…

统计力学 · 物理学 2021-01-20 Z. Amimer , S. Bekhechi , B. N. Brahmi , R. Boudefla , H. Ez-Zahraouy , A. Rachadi

We study random-field xy spin model at T=0 numerically on lattices of up to 1000 x 1000 x 1000 spins with the accent on the weak random field. Our numerical method is physically equivalent to slow cooling in which the system is gradually…

无序系统与神经网络 · 物理学 2016-10-18 D. A. Garanin , E. M. Chudnovsky , T. Proctor

A mean-field model of Ising spin glass with the Hamiltonian being a sum of the infinite-range ferromagnetic and random antiferromagnetic interactions is studied. It is shown that this model has phase transition in external magnetic field…

无序系统与神经网络 · 物理学 2007-05-23 P. N. Timonin

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…

统计力学 · 物理学 2017-08-23 Viliam Štubňa , Michal Jaščur

We explore the cooperative behaviour and phase transitions of interacting networks by studying a simplified model consisting of Ising spins placed on the nodes of two coupled Erd\"os-R\'enyi random graphs. We derive analytical expressions…

统计力学 · 物理学 2018-08-27 Maíra Bolfe , Lucas Nicolao , Fernando L. Metz

The nonequilibrium phase transition has been studied by Monte Carlo simulation in a ferromagnetically interacting (nearest neighbour) kinetic Ising model in presence of a sinusoidally oscillating magnetic field. The ('specific-heat')…

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

We use QMC simulations to study effects of disorder on the $S=1/2$ Heisenberg model with exchange constant $J$ on the square lattice supplemented by multispin interactions $Q$. It was found recently [L. Lu et al., Phys. Rev. X 8, 041040…

强关联电子 · 物理学 2020-09-09 Lu Liu , Wenan Guo , Anders W. Sandvik