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In this paper we study the critical behavior of the two-dimensional antiferromagnetic Ising model in both uniform longitudinal ($H$) and transverse ($\Omega $) magnetic fields. Using the effective-field theory (EFT) with correlation in…

Statistical Mechanics · Physics 2015-06-05 Minos A. Neto , J. Ricardo de Sousa

We investigate the thermodynamic properties of the frustrated bilayer quantum Heisenberg antiferromagnet at low temperatures in the vicinity of the saturation magnetic field. The low-energy degrees of freedom of the spin model are mapped…

Strongly Correlated Electrons · Physics 2007-05-23 Johannes Richter , Oleg Derzhko , Taras Krokhmalskii

We investigate the spin-spin correlation functions of Ising magnets at complex values of the temperature, T. For one-dimensional chain and ladder systems, we show the existence of a kind of helimagnetic order in the vicinity of contours…

Strongly Correlated Electrons · Physics 2013-04-24 F. Beichert , C. A. Hooley , R. Moessner , V. Oganesyan

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…

Statistical Mechanics · Physics 2017-08-23 Viliam Štubňa , Michal Jaščur

The spin-1/2 anisotropic Heisenberg model with antiferromagnetic exchange interactions in the presence of a external magnetic field and a Dzyaloshinskii-Moriya interaction is studied by employing the usual mean-field approximation. The…

Statistical Mechanics · Physics 2018-05-23 Walter E. F. Parente , J. T. M. Pacobahyba , Minos A. Neto , Ijanílio G. Araújo , J. A. Plascak

We investigate the Hubbard model on the anisotropic triangular lattice as a suggested effective description of the Mott phase in various triangular organic compounds. Employing the variational cluster approximation and the ladder…

Strongly Correlated Electrons · Physics 2015-10-13 Manuel Laubach , Ronny Thomale , Christian Platt , Werner Hanke , Gang Li

We investigate spin-$\frac{1}{2}$ anisotropic model of a linear chain of triangles with competing ferro- and antiferromagnetic interactions and ferromagneic Heisenberg interactions between triangles. For a certain ratio between interactions…

Strongly Correlated Electrons · Physics 2023-08-11 V. Ya. Krivnov , D. V. Dmitriev

Ground-state and thermodynamic properties of the one-dimensional Heisenberg antiferromagnet in which two S=1/2 and two S=1 spins are arranged alternatively are studied by a quantum Monte Carlo method and by analytical estimates. It is found…

Strongly Correlated Electrons · Physics 2007-05-23 T. Tonegawa , T. Hikihara , T. Nishino , M. Kaburagi , S. Miyashita , H. -J. Mikeska

The mixed spin-(1/2, 1) Heisenberg dimer accounting for two different Land\'e $g$-factors is exactly examined in presence of external magnetic and electric field by considering exchange as well as uniaxial single-ion anisotropies.…

Quantum Physics · Physics 2023-11-30 Hana Vargová , Jozef Strečka

Two one-dimensional spin-1 antiferromagnetic Ising models with a single-ion anisotropy under external magnetic field at low temperatures are exactly investigated by the transfer-matrix technique. The magnetization per spin ($m$) is obtained…

Statistical Mechanics · Physics 2009-05-06 Fabian Litaiff , J. Ricardo de Sousa , N. S. Branco

We study the magnetic properties of a mixed Ising ferrimagnetic system, in which the two interacting sublattices have spins $\sigma$, $(\pm 1/2)$ and spins $S$, $(\pm 3/2,\pm 1/2)$ in the presence of a random crystal field, with the mean…

Statistical Mechanics · Physics 2009-11-13 L. Bahmad , A. Benyoussef , A. El Kenz

The Heisenberg model on a triangular lattice is a prime example for a geometrically frustrated spin system. However most experimentally accessible compounds have spatially anisotropic exchange interactions. As a function of this anisotropy,…

Strongly Correlated Electrons · Physics 2014-05-05 Burkhard Schmidt , Peter Thalmeier

In this paper, the conventional Holstein-Primakoff method is generalized with the help of the characteristic angle transformation [Lei Zhou and Ruibao Tao, J. Phys. A {\bf 27} 5599 (1994)] for the spin-one magnetic systems with single-ion…

Condensed Matter · Physics 2009-10-28 Lei Zhou , Ruibao Tao

Motivated by its role as a central pillar of current theories of dynamics of spin ice in and out of equilibrium, we study the single-ion dynamics of the magnetic rare earth ions in their local environments, subject to the effective fields…

Strongly Correlated Electrons · Physics 2015-10-21 Bruno Tomasello , Claudio Castelnovo , Roderich Moessner , Jorge Quintanilla

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

The systems exhibiting quantum phase transitions (QPT) are investigated within the Ising model in the transverse field and Heisenberg model with easy-plane single-site anisotropy. Near QPT a correspondence between parameters of these models…

Condensed Matter · Physics 2009-10-31 V. Yu. Irkhin , A. A. Katanin

The Heisenberg ferromagnet (uniaxially anisotropic along z-direction), in the presence of time dependent (but uniform over space) magnetic field, is studied by Monte Carlo simulation. The time dependent magnetic field was taken as…

Statistical Mechanics · Physics 2011-05-02 Muktish Acharyya

The dynamical responses of a rodlike anisotropic Heisenberg ferromagnet, irradiated by the propagating magnetic field wave, have been studied by Monte Carlo simulation using Metropolis single spin-flip algorithm. A nonequilibrium dynamical…

Statistical Mechanics · Physics 2022-08-30 Muktish Acharyya

The magnetic properties and phase diagrams of the mixed spin-1 and spin-1/2 Ising model on a checkerboard square structure have been studied using the Monte Carlo simulations based on the Metropolis update protocol. The system consists of…

Statistical Mechanics · Physics 2021-09-15 Maen Gharaibeh , Mohammad H. A. Badarneh , Samah Alqaiem , Abdalla Obeidat , Mohammad-Khair Qaseer

We built a model where all spins are in interaction with each other via an antiferromagnetic Ising Hamiltonian. The geometry of such a model is a tetrahedron placed on a hypersphere in spaces of dimensions enclosed between 1 and 9. Due to…

Computational Physics · Physics 2007-05-23 N. Olivi-Tran , R. V. Paredes
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