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The Ising model with nearest-neighbor interactions on a two-dimensional (2D) square lattice is one of the simplest models for studying ferro-magnetic to para-magnetic transitions. Extensive results are available in the literature for this…

Computational Physics · Physics 2024-09-18 C. Marin , A. Fontana , V. Bellani , F. Pederiva , A. Quaranta , F. Rossella , A. Salamon , G. Salina

We consider a one-dimensional lattice of Ising-type variables where the ferromagnetic exchange interaction J between neighboring sites is frustrated by a long-ranged anti-ferromagnetic interaction of strength g between the sites i and j,…

Statistical Mechanics · Physics 2011-04-21 F. Cinti , O. Portmann , D. Pescia , A. Vindigni

We study the phase diagram of the two-dimensional repulsive Hubbard model with spin-dependent anisotropic hopping at half-filling. The system develops Ising antiferromagnetic long-range order already at infinitesimal repulsive interaction…

Strongly Correlated Electrons · Physics 2017-05-17 Jan Gukelberger , Lei Wang , Lode Pollet

The effect of randomness on critical behavior is a crucial subject in condensed matter physics due to the the presence of impurity in any real material. We presently probe the critical behaviour of the antiferromagnetic (AF) Ising model on…

Disordered Systems and Neural Networks · Physics 2018-05-23 Tasrief Surungan , Bansawang BJ , Muhammad Yusuf

Motivated by recent experiments with Rydberg atoms in an optical tweezer array, we accurately map out the ground-state phase diagram of the antiferromagnetic Ising model on a square lattice with longitudinal and transverse magnetic fields…

Quantum Gases · Physics 2021-06-10 Ryui Kaneko , Yoshihide Douda , Shimpei Goto , Ippei Danshita

We investigate the interplay of classical degeneracy and quantum dynamics in a range of periodic frustrated transverse field Ising systems at zero temperature. We find that such dynamics can lead to unusual ordered phases and phase…

Statistical Mechanics · Physics 2009-10-31 R. Moessner , S. L. Sondhi , P. Chandra

Numerical investigation on the thermodynamic properties of an Ising spin Kondo lattice model on a kagome lattice is reported. By using Monte Carlo simulation, we investigated the magnetic phases at 1/3-filling. We identified two successive…

Strongly Correlated Electrons · Physics 2013-08-28 Hiroaki Ishizuka , Yukitoshi Motome

It is known that there is no phase transition down to zero temperature in the antiferromagnetic Ising model on spatially anisotropic triangular lattices, in which the exchange coupling of one direction is stronger than those of other two…

Statistical Mechanics · Physics 2013-06-24 Masahiro Sato , Naoyuki Watanabe , Nobuo Furukawa

A spin-1/2, Ising trilayered ferrimagnetic system on square Bravais lattice is studied, employing Monte-Carlo simulation with the single spin-flip Metropolis algorithm. The bulk of such a system is formed by three layers, each of which is…

Statistical Mechanics · Physics 2021-01-13 Soham Chandra

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…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , M. Borovský , A. Bobák

A frustrated Ising model on a diamond hierarchical lattice is studied. We obtain the exact partition function of this model and calculate the transition temperature, specific heat, entropy, magnetization, and ferromagnetic correlation…

Statistical Mechanics · Physics 2015-05-13 H. Kobayashi , Y. Fukumoto , A. Oguchi

The thermodynamics of layered antiferro- and ferromagnets with a weak interlayer coupling and/or easy-axis anisotropy is investigated. A crossover from an isotropic 2D-like to 3D Heisenberg (or 2D Ising) regime is discussed within the…

Strongly Correlated Electrons · Physics 2007-05-23 V. Yu. Irkhin , A. A. Katanin

The ground state, zero-temperature magnetization process, critical behaviour and isothermal entropy change of the mixed-spin Ising model on a decorated triangular lattice in a magnetic field are exactly studied after performing the…

Statistical Mechanics · Physics 2018-04-30 Lucia Galisova , Jozef Strecka

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…

Statistical Mechanics · Physics 2009-10-31 W. Stephan , B. W. Southern

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…

Statistical Mechanics · Physics 2016-03-15 Stephan Humeniuk

There is a new class of two-dimensional magnetic materials polymeric iron (III) acetate fabricated recently in which Fe ions form a star lattice. We study the thermodynamics of Ising spins on the star lattice with exact analytic method and…

Strongly Correlated Electrons · Physics 2012-10-08 Zewei Chen , Nvsen Ma , Dao-Xin Yao

Competitive effects of so-called three-site four-spin interactions, single ion anisotropy and bilinear interactions is studied in the mixed spin-1/2 and spin-1 Ising model on a decorated square lattice. Exploring the decoration-iteration…

Statistical Mechanics · Physics 2016-06-22 M. Jaščur , V. Štubňa , K. Szałowski , T. Balcerzak

Mixed spin-1/2 and spin-1 Ising ferrimagnets on a triangular lattice with sublattices A, B and C are studied for two spin value distributions $(S_{\rm A},S_{\rm B},S_{\rm C})=(1/2,1/2,1)$ and $(1/2,1,1)$ by Monte Carlo simulations. The…

Statistical Mechanics · Physics 2015-06-02 M. Žukovič , A. Bobák

We study the ground-state properties of a family of frustrated spin-1/2 Heisenberg models on two- and three-dimensional decorated lattices composed of connected star-shaped units. Each star is built from edge-sharing triangles with an…

Strongly Correlated Electrons · Physics 2026-02-10 D. V. Dmitriev , V. Ya. Krivnov , O. A. Vasilyev

The antiferromagnetic Ising model is investigated on the 20 2-uniform lattices using the Monte-Carlo method based on the Wang-Landau algorithm and the Metropolis algorithm to study the geometric frustration effect systematically. Based on…

Statistical Mechanics · Physics 2017-01-26 Unjong Yu