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I study the one-dimensional spin-1 Blume-Emery-Griffiths model with bilinear and biquadratic exchange interactions and single-ion crystal field under an applied magnetic field. This model can be exactly mapped into a tight-binding Hubbard…

统计力学 · 物理学 2010-03-30 F. P. Mancini

In this study, we have employed the classical transfer matrix technique to investigate the magnetization plateaus, phase diagrams and other thermodynamical properties of the one-dimensional antiferromagnetic spin-3/2 and spin-2 Ising chains…

统计力学 · 物理学 2009-09-10 Ekrem Aydiner , Cenk Akyuz , Meltem Gonulol , Hamza Polat

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…

统计力学 · 物理学 2009-05-06 Fabian Litaiff , J. Ricardo de Sousa , N. S. Branco

We consider integrable quantum spin chains with alternating spins (S_1,S_2). We derive a finite set of non-linear integral equations for the thermodynamics of these models by use of the quantum transfer matrix approach. Numerical solutions…

可精确求解与可积系统 · 物理学 2008-11-26 G. A. P. Ribeiro , A. Klümper

The thermodynamic properties of S>=1 ferromagnetic chains with an easy-axis single-ion anisotropy are investigated at arbitrary temperatures by both a Green-function approach, based on a decoupling of three-spin operator products, and by…

强关联电子 · 物理学 2009-11-11 I. Juhász Junger , D. Ihle , J. Richter

State space geometry is obtained for the one dimensional Blume Emery Griffiths model and the associated scalar curvature(s) investigated for various parameter regimes, including the Blume-Capel limit and the Griffiths model limit. For the…

统计力学 · 物理学 2020-11-13 Anurag Sahay , Riekshika Sanwari

In this study, we have investigated ground state properties of one-dimensional antiferromagnetic spin-1 chain with single-ion anisotropy at very low temperatures using the Transfer Matrix method. Magnetic plateaus, phase diagram, specific…

统计力学 · 物理学 2009-09-10 Ekrem Aydiner , Cenk Akyuz

The temperature dependence of mesoscopic spin-model parameters is derived in two-sublattice antiferromagnetically aligned systems based on Green's function theory. It is found that transversal spin correlations decrease the anisotropy terms…

介观与纳米尺度物理 · 物理学 2023-06-12 Levente Rózsa , Unai Atxitia

The Ising model, in presence of an external magnetic field, is isomorphic to a model of localized interacting particles satisfying the Fermi statistics. By using this isomorphism, we construct a general solution of the Ising model which…

强关联电子 · 物理学 2007-05-23 Ferdinando Mancini

The thermodynamics of the spin-$S$ anisotropic quantum $XXZ$ chain with arbitrary value of $S$ and unitary norm, in the high-temperature regime, is reported. The single-ion anisotropy term and the interaction with an external magnetic field…

强关联电子 · 物理学 2016-05-31 Onofre Rojas , S. M. de Souza , E. V. Correa Silva , M. T. Thomaz

In this paper, we study the Ising model with general spin $S$ in presence of an external magnetic field by means of the equations of motion method and of the Green's function formalism. First, the model is shown to be isomorphic to a…

强关联电子 · 物理学 2007-05-23 A. Avella , F. Mancini

We calculate the low-temperature thermodynamic quantities (magnetization, correlation functions, transverse and longitudinal correlation lengths, spin susceptibility, and specific heat) of the frustrated one-dimensional spin-half J1-J2…

强关联电子 · 物理学 2015-05-27 M. Härtel , J. Richter , D. Ihle

A special class of S=1 spin ladder hamiltonians, with second- neighbor exchange interactions and with anisotropies in the $z$-direction, can be mapped onto one-dimensional composite S=2 (tetrahedral S=1) models. We calculate the high…

强关联电子 · 物理学 2009-11-11 Onofre Rojas , E. V. Correa Silva , S. M. de Souza , M. T. Thomaz

The $S=1/2$ Heisenberg antiferromagnet is studied on the kagom\'e lattice by using a Green's function method based on an appropriate decoupling of the equations of motion. Thermodynamic properties as well as spin-spin correlation functions…

强关联电子 · 物理学 2009-11-07 B. H. Bernhard , B. Canals , C. Lacroix

We formulate correlation functions for a one-dimensional interacting spinless fermion model at finite temperature. By combination of a lattice path integral formulation for thermodynamics with the algebraic Bethe ansatz for fermion systems,…

统计力学 · 物理学 2008-02-21 Kohei Motegi , Kazumitsu Sakai

The ground state and thermodynamic properties of spin-1 and spin-3/2 chains are investigated via exactly solved su(3) and su(4) models with physically motivated chemical potential terms. The analysis involves the Thermodynamic Bethe Ansatz…

统计力学 · 物理学 2011-02-16 M. T. Batchelor , X. -W. Guan , N. Oelkers , A. Foerster

We investigate the low temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the…

量子气体 · 物理学 2013-05-16 J. Y. Lee , X. W. Guan , K. Sakai , M. T. Batchelor

We continue our study of the thermodynamic geometry of the spin one model from paper I by probing the state space geometry of the Blume Emery Griffiths (BEG) model, and its limiting case of the Blume Capel model, in their mean field…

统计力学 · 物理学 2021-07-09 Anurag Sahay , Riekshika Sanwari

The ferromagnetic properties of the spin-1 BEG model on finite-size Cayley tree are investigated using the exact recursion method. The spontaneous magnetization of the system is studied in detail for different values of the reduced…

统计力学 · 物理学 2015-05-14 Wen-Jun Chen , Xiang-Mu Kong

We study thermodynamic properties of the one-dimensional Heisenberg ferrimagnet with antiferromagnetically exchange-coupled two kinds of spins 1 and 1/2. The specific heat and the magnetic susceptibility are calculated employing a modified…

统计力学 · 物理学 2009-10-30 Shoji Yamamoto , Takahiro Fukui
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