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We show using extensive simulation results and physical arguments that an Ising system on a two dimensional square lattice, having interactions of random sign between first neighbors and ferromagnetic interactions between second neighbors,…

无序系统与神经网络 · 物理学 2009-10-31 N. Lemke , I. A. Campbell

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

强关联电子 · 物理学 2015-06-05 S. E. Korshunov

The phase behavior of a large but finite Ising ferromagnet in the presence of competing surface magnetic fields +/- H_s is studied by Monte Carlo simulations and by phenomenological theory. Specifically, the geometry of a double pyramid of…

统计力学 · 物理学 2009-11-11 A. Milchev , M. Mueller , K. Binder

The theory of phase transitions is based on the consideration of "idealized" models, such as the Ising model: a system of magnetic moments living on a cubic lattice and having only two accessible states. For simplicity the interaction is…

统计力学 · 物理学 2011-12-22 H Chamati , S Romano

The two-dimensional Ising model defined on square lattices with diamond-type bond-decorations is employed to study the nature of the ferromagnetic phase transitions of inhomogeneous systems. The model is studied analytically under the…

凝聚态物理 · 物理学 2009-11-10 Ming-Chang Huang , Yu-Pin Luo , Tsong-Ming Liaw

Correlated electron systems with competing interactions provide a valuable platform for examining exotic magnetic phases. Theoretical models often focus on nearest-neighbor interactions, although long-range interactions can have a…

强关联电子 · 物理学 2025-03-28 Sudip Mandal , Sandip Halder , Kalpataru Pradhan

After a zero temperature quench, we study the kinetics of the one-dimensional Ising model with long-range interactions between spins at distance $r$ decaying as $r^{-\alpha}$, with $\alpha \le 1$. As shown in our recent study [SciPost Phys…

统计力学 · 物理学 2023-08-09 Federico Corberi , Manoj Kumar , Eugenio Lippiello , Paolo Politi

We examine the ordering behavior of the ferromagnetic Ising lattice model defined on a surface with a constant negative curvature. Small-sized ferromagnetic domains are observed to exist at temperatures far greater than the critical…

统计力学 · 物理学 2009-07-01 Yasunori Sakaniwa , Hiroyuki Shima

While the kinetics of domain growth, even for conserved order-parameter dynamics, is widely studied for short-range inter-particle interactions, systems having long-range interactions are receiving attention only recently. Here we present…

统计力学 · 物理学 2024-10-18 Soumik Ghosh , Subir K. Das

The crossover between short-range and long-range (LR) universal behaviors remains a central theme in the physics of long-range interacting systems. The competition between LR coupling and the Berezinskii-Kosterlitz-Thouless mechanism makes…

统计力学 · 物理学 2025-11-14 Tianning Xiao , Dingyun Yao , Chao Zhang , Zhijie Fan , Youjin Deng

We have studied the anisotropic three-dimensional nearest-neighbor Ising model with competitive interactions in an uniform longitudinal magnetic field $H$. The model consists of ferromagnetic interaction $J_{x}(J_{z})$ in the $x(z)$…

We study the phase diagram of the four dimensional Ising model with first and second neighbour couplings, specially in the antiferromagnetic region, by using Mean Field and Monte Carlo methods. From the later, all the transition lines seem…

高能物理 - 格点 · 物理学 2008-11-26 J. L. Alonso , J. M. Carmona , J. Clemente Gallardo , L. A. Fernandez , D. Iniguez , A. Tarancon , C. L. Ullod

We introduce a new coarse grain model capable of describing the phase behavior of two dimensional ferromagnetic systems with competing exchange and dipolar interactions, as well as an external magnetic field. An improved expression for the…

An Ising model with ferromagnetic nearest-neighbor interactions $J_{1}$ ($J_{1}>0$) and random next-nearest-neighbor interactions [$+J_{2}$ with probability $p$ and $-J_{2}$ with probability $(1-p)$; $J_{2}>0$] is studied within the…

统计力学 · 物理学 2009-06-22 Octavio R. Salmon , J. Ricardo de Sousa , Fernando D. Nobre

Magnetization processes and phase transitions in a geometrically frustrated triangular lattice Ising antiferromagnet in the presence of an external magnetic field and a random site dilution are studied by the use of an effective-field…

统计力学 · 物理学 2012-12-24 M. Žukovič , M. Borovský , A. Bobák

We consider the Ising model on the two-dimensional square lattice where on each horizontal line, called "layer", the interaction is given by a ferromagnetic Kac potential with coupling strength $J_\gamma(x,y)=\gamma J(\gamma(x-y))$, where…

The two dimensional Heisenberg antiferromagnet on the square lattice with nearest (J1) and next-nearest (J2) neighbor couplings is investigated in the strong frustration regime (J2/J1>1/2). A new effective field theory describing the long…

强关联电子 · 物理学 2009-11-11 V. Lante , A. Parola

Motivated by recent experiments with a Penning ion trap quantum simulator, we perform numerically exact Stochastic Series Expansion quantum Monte Carlo simulations of long-range transverse-field Ising models on a triangular lattice for…

统计力学 · 物理学 2016-03-15 Stephan Humeniuk

Despite of simplicity of the transverse antiferromagnetic Ising model with a uniform longitudinal field, its phases and involved quntum phase transitions (QPTs) are nontrivial in comparison to its ferromagnetic counterpart. For example,…

统计力学 · 物理学 2025-11-19 Yun-Tong Yang , Hong-Gang Luo

The dynamical responses of Ising metamagnet (layered antiferromagnet) in the presence of a sinusoidally oscillating magnetic field are studied by Monte Carlo simulation. The time average staggered magnetisation plays the role of dynamic…

统计力学 · 物理学 2011-07-21 Muktish Acharyya