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The rare-earth perovskite TbScO$_3$ has been widely used as a substrate for the growth of epitaxial ferroelectric and multiferroic thin films, while its detailed low-temperature magnetic properties were rarely reported. In this paper, we…

Using Monte Carlo simulations and finite-size scaling, we investigate the XY antiferromagnet on the triangular, Union Jack and bisected-hexagonal lattices, and in each case find both Ising and Kosterlitz-Thouless transitions. As is…

Strongly Correlated Electrons · Physics 2013-02-25 Jian-Ping Lv , Timothy M. Garoni , Youjin Deng

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…

Phase diagram of an Ising-spin Kondo lattice model on a triangular lattice near 1/3-filling is investigated by Monte Carlo simulation. We identify a partially disordered phase with coexistence of magnetic order and paramagnetic moments,…

Strongly Correlated Electrons · Physics 2012-10-23 Hiroaki Ishizuka , Yukitoshi Motome

A ferromagnetic-paramagnetic phase transition of the two-dimensional frustrated Ising model on a hyperbolic lattice is investigated by use of the corner transfer matrix renormalization group method. The model contains ferromagnetic…

Statistical Mechanics · Physics 2009-06-12 R. Krcmar , T. Iharagi , A. Gendiar , T. Nishino

The ground state of the spin-$1/2$ Heisenberg antiferromagnet on a distorted triangular lattice is studied using a numerical-diagonalization method. The network of interactions is the $\sqrt{3}\times\sqrt{3}$ type; the interactions are…

Materials Science · Physics 2017-05-15 Hiroki Nakano , Toru Sakai

Using a lattice-gas description of the low-energy degrees of freedom of the quantum Heisenberg antiferromagnet on the frustrated two-leg ladder and bilayer lattices we examine the magnetization process at low temperatures for these spin…

Strongly Correlated Electrons · Physics 2011-12-30 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

We consider by means of Monte Carlo simulations the relaxation in the paramagnetic phase of the anti-ferromagnetic Ising model on a triangular lattice and of a fully-frustrated Ising model on a square lattice. In contradistinction to…

Statistical Mechanics · Physics 2012-02-10 Jean-Charles Walter , Christophe Chatelain

The square-lattice Ising antiferromagnet subjected to the imaginary magnetic field $H=i \theta T /2 $ with the "topological" angle $\theta$ and temperature $T$ was investigated by means of the transfer-matrix method. Here, as a probe to…

Statistical Mechanics · Physics 2020-06-24 Yoshihiro Nishiyama

Magnetic and electronic properties of a Kondo lattice model with Ising localized spins are studied on an isotropic triangular lattice. By using Monte Carlo simulation, we present that the model shows a rich phase diagram with four dominant…

Strongly Correlated Electrons · Physics 2013-05-03 Hiroaki Ishizuka , Yukitoshi Motome

Recent results for the Ising model with first ($J_1$) and second ($J_2$) neighbour interactions on the body-centered cubic (bcc) lattice suggest that this model can host signatures of strong frustration, including Schottky anomalies and…

Statistical Mechanics · Physics 2022-04-06 M. Schmidt , G. L. Kohlrausch , F. M. Zimmer

Motivated by dipolar-coupled artificial spin systems, we present a theoretical study of the classical $J_1-J_2-J_3$ Ising antiferromagnet on the kagome lattice. We establish the ground-state phase diagram of this model for $J_1 > |J_2|,…

Strongly Correlated Electrons · Physics 2022-11-03 Jeanne Colbois , Bram Vanhecke , Laurens Vanderstraeten , Andrew Smerald , Frank Verstraete , Frédéric Mila

Magnetization processes of Ising models with frustration on diamond hierarchical lattices, which contain vertices with high coordination numbers, are exactly obtained at zero temperature. In antiferromagnetic systems, the magnetization…

Statistical Mechanics · Physics 2016-08-10 Yuhei Hirose , Akihide Oguchi , Yoshiyuki Fukumoto

We consider the Ising model on the hexagonal lattice evolving according to Metropolis dynamics. We study its metastable behavior in the limit of vanishing temperature when the system is immersed in a small external magnetic field. We…

Probability · Mathematics 2022-03-02 Valentina Apollonio , Vanessa Jacquier , Francesca Romana Nardi , Alessio Troiani

We present a numerical study based on Monte Carlo algorithm of the magnetic properties of a mixed Ising ferrimagnetic model on a cubic lattice where spins $\sigma =\pm 1/2$ and spins $S=0,\pm 1$ are in alternating sites on the lattice. We…

Statistical Mechanics · Physics 2015-05-13 G. M. Buendia , N. Hurtado

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,…

Statistical Mechanics · Physics 2008-03-31 Roman Krcmar , Andrej Gendiar , Kouji Ueda , Tomotoshi Nishino

In the present paper, we study spin-${1 \over 2}$ antiferromagnetic (AF) Heisenberg model on layered anisotropic triangular lattice and obtain its phase structure. We use the Schwinger bosons for representing spin operators and also…

Strongly Correlated Electrons · Physics 2011-07-26 Kazuya Nakane , Takeshi Kamij , Ikuo Ichinose

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…

Statistical Mechanics · Physics 2023-04-18 Jozef Strecka , Katarina Karlova , Taras Verkholyak , Nils Caci , Stefan Wessel , Andreas Honecker

The multi-branched Husimi recursive lattice has been extended to a virtual structure with fractional numbers of branches joined on one site. Although the lattice is undrawable in real space, the concept is consistent with regular Husimi…

Statistical Mechanics · Physics 2014-11-18 Ran Huang , Chong Chen

In this work, we have performed Monte Carlo simulations to study phase transitions in a mixed spin-1 and spin-3/2 Ising ferrimagnetic system on the square and cubic lattices and with two different single-ion anisotropies. This lattice is…

Statistical Mechanics · Physics 2020-10-28 D. C. da Silva , A. S. de Arruda , M. Godoy
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