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A hybrid lattice-statistical model of doubly decorated two-dimensional lattices, which have localized Ising spins at its nodal sites and itinerant electrons delocalized over decorating sites, is exactly solved with the help of a generalized…

统计力学 · 物理学 2015-05-14 Jozef Strecka , Akinori Tanaka , Michal Jascur

The thermal phase transitions of a spin-1/2 Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field are investigated using a decoration-iteration transformation and classical Monte Carlo simulations. A generalized…

The generalized decoration-iteration transformation is adopted to treat exactly a hybrid model of doubly decorated two-dimensional lattices, which have localized Ising spins at their nodal lattice sites and itinerant electrons delocalized…

统计力学 · 物理学 2015-05-14 Jozef Strecka , Akinori Tanaka , Lucia Canova , Taras Verkholyak

We study the equilibrium and dynamic phase transition properties of two-dimensional Ising model on a decorated triangular lattice under the influence of a time-dependent magnetic field composed of a periodic square wave part plus a time…

统计力学 · 物理学 2023-07-25 Yusuf Yüksel

Thermodynamic properties of the ferromagnetic Ising model on the hierarchical pentagon lattice is studied by means of the tensor network methods. The lattice consists of pentagons, where 3 or 4 of them meet at each vertex. Correlation…

统计力学 · 物理学 2024-07-08 Takumi Oshima , Tomotoshi Nishino

The two-dimensional Ising model with nearest-neighbor ferromagnetic and long-range dipolar interactions exhibits a rich phase diagram. The presence of the dipolar interaction changes the ferromagnetic ground state expected for the pure…

统计力学 · 物理学 2010-02-18 Leandro G. Rizzi , Nelson A. Alves

Phase transition of the Ising model is investigated on a planar lattice that has a fractal structure. On the lattice, the number of bonds that cross the border of a finite area is doubled when the linear size of the area is extended by a…

统计力学 · 物理学 2016-02-02 Jozef Genzor , Andrej Gendiar , Tomotoshi Nishino

We investigated the Ising model on a square lattice with ferro and antiferromagnetic interactions modulated by the quasiperiodic Octonacci sequence in both directions of the lattice. We have applied the Replica Exchange Monte Carlo…

统计力学 · 物理学 2018-01-17 G. A. Alves , M. S. Vasconcelos , T. F. A. Alves

In this paper, the phase diagrams and the critical behavior of the spin-1/2 anisotropic XXZ ferromagnetic model (the anisotropic parameter {\Delta}\in(-\infty,1]) on two kinds of diamond-type hierarchical (DH) lattices with fractal…

统计力学 · 物理学 2011-11-03 Xiu-Xing Zhang , Xiang-Mu Kong , Zhong-Yang Gao , Xiao-Song Chen

We study two-dimensional ferromagnetic Ising model on a series of regular lattices, which are represented as the tessellation of polygons with p>=5 sides, such as pentagons (p=5), hexagons (p=6), etc. Such lattices are on hyperbolic planes,…

统计力学 · 物理学 2008-03-31 Roman Krcmar , Andrej Gendiar , Kouji Ueda , Tomotoshi Nishino

We consider an Ising model where longitudinal components of every pair of spins have antiferromagnetic interaction of the same magnitude. When subjected to a transverse magnetic field at zero temperature, the system undergoes a phase…

统计力学 · 物理学 2015-05-14 Anindita Ganguli , Subinay Dasgupta

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

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

Using combinatorial optimisation techniques we study the critical properties of the two- and the three-dimensional Ising model with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ in the presence of a…

无序系统与神经网络 · 物理学 2022-06-08 Jean-Christian Anglès d'Auriac , Ferenc Iglói

An asymmetrical 2D Ising model with a zigzag surface, created by diagonally cutting a regular square lattice, has been developed to investigate the thermodynamics and phase transitions on surface by the methodology of recursive lattice,…

统计力学 · 物理学 2019-01-31 Ran Huang , Purushottam D. Gujrati

We investigated the critical behavior of the Ising model in a triangular lattice with ferro and anti-ferromagnetic interactions modulated by the Fibonacci sequence, by using finite-size numerical simulations. Specifically, we used a replica…

无序系统与神经网络 · 物理学 2018-05-16 T. F. A. Alves , G. A. Alves , M. S. Vasconcelos

We present an analytical and numerical study of the Ising model on a bilayer honeycomb lattice including interlayer frustration and coupling with an external magnetic field. First, we discuss the exact $T=0$ phase diagram, where we find…

统计力学 · 物理学 2018-08-08 F. A. Gómez Albarracín , H. D. Rosales , Pablo Serra

An anyon-chain-like lattice model with symmetry described by the Ising fusion category is studied. Combining numerical and analytical studies, we uncover a rich phase diagram that contains three phases: a symmetric critical phase and two…

强关联电子 · 物理学 2026-04-23 Soumil Roychowdhury , Chenjie Wang

Mixed-spin Ising model on a decorated Bethe lattice is rigorously solved by combining the decoration-iteration transformation with the method of exact recursion relations. Exact results for critical lines, compensation temperatures, total…

统计力学 · 物理学 2013-01-31 Jozef Strecka , Cesur Ekiz

Phase transitions of the mixed spin-1/2 and spin-1 Ising-Heisenberg model on several decorated planar lattices consisting of interconnected diamonds are investigated within the framework of the generalized decoration-iteration…

统计力学 · 物理学 2011-06-24 L. Galisova , J. Strecka
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