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We have diagonalized the transfer matrix of the $U_{q}[osp(2|2m)]$ vertex model by means of the algebraic Bethe ansatz method for a variety of grading possibilities. This allowed us to investigate the thermodynamic limit as well as the…

高能物理 - 理论 · 物理学 2008-11-26 W. Galleas , M. J. Martins

This note is a supplement to our previous papers: Mod. Phys. Lett. A14 (1999) 2427 (math-ph/9911010); Int. J. Mod. Phys. A15 (2000) 2329 (math-ph/9912014). The thermodynamic Bethe ansatz (TBA) equation for an integrable spin chain related…

统计力学 · 物理学 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

The free energy and correlation lengths of the spin-1/2 $XYZ$ chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented…

凝聚态物理 · 物理学 2009-10-22 Andreas Klümper

We propose a system of nonlinear integral equations (NLIE), which gives the free energy of the osp(1|2s) integrable spin chain at finite temperatures. In contrast with usual thermodynamic Bethe ansatz equations, our new NLIE contain only a…

数学物理 · 物理学 2009-11-07 Zengo Tsuboi

The thermodynamic Bethe ansatz is applied to a quantum integrable spin chain associated with the Lie superalgebra osp(1|2). Using the string hypothesis, we derive a set of infinite number of non-linear integral equations (thermodynamic…

数学物理 · 物理学 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

We consider integrable quantum spin chains with competing interactions. We apply the quantum transfer matrix approach to these spin chains. This allowed us to derive a set of non-linear integral equations for the thermodynamics of these…

统计力学 · 物理学 2014-09-05 T. S. Tavares , G. A. P. Ribeiro

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

In this paper we investigate the finite-size properties of the spectrum of quantum spin chains with local spins taken to be the fundamental vector representation of the $OSp(n|2m)$ superalgebra.

统计力学 · 物理学 2018-04-10 Holger Frahm , Márcio J. Martins

We investigate the asymptotic behaviour of spin-spin correlation functions for the integrable Heisenberg chain. To this end we use the Quantum Transfer Matrix (QTM) technique developed in \cite{AK} which results in a set of non-linear…

强关联电子 · 物理学 2015-06-24 A. Klümper , J. R. Reyes Martínez , C. Scheeren , M. Shiroishi

Thermodynamic properties of the quantum Heisenberg spin chains with S = 1/2, 1, and 3/2 are investigated using the transfer-matrix renormalization-group method. The temperature dependence of the magnetization, susceptibility, specific heat,…

强关联电子 · 物理学 2009-10-31 Tao Xiang

The thermodynamic Bethe ansatz (TBA) and the excited state TBA equations for an integrable spin chain related to the Lie superalgebra osp(1|2) are proposed by the quantum transfer matrix (QTM) method. We introduce the fusion hierarchy of…

数学物理 · 物理学 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

This work develops a rigorous setting allowing one to prove several features related to the behaviour of the Heisenberg-Ising (or XXZ) spin-$1/2$ chain at finite temperature $T$. Within the quantum inverse scattering method the physically…

数学物理 · 物理学 2024-06-18 Frank Göhmann , Salvish Goomanee , Karol K. Kozlowski , Junji Suzuki

We study a class of integrable alternating (S1,S2) quantum spin chains with critical ground state properties. Our main result is the description of the thermal Drude weight of the one-dimensional alternating spin chain as a function of…

统计力学 · 物理学 2011-09-19 G. A. P. Ribeiro , N. Crampe , A. Klümper

The Drude weight for the spin transport of the spin-1/2 $XXZ$ Heisenberg chain in the critical regime is evaluated exactly for finite temperatures. We combine the thermodynamic Bethe ansatz with the functional relations of type $Y$-system…

统计力学 · 物理学 2019-04-26 Andreas Klümper , Kazumitsu Sakai

We consider the spectrum of correlation lengths of the spin-$\frac{1}{2}$ XXZ chain in the antiferromagnetic massive regime. These are given as ratios of eigenvalues of the quantum transfer matrix of the model. The eigenvalues are…

统计力学 · 物理学 2017-08-15 Maxime Dugave , Frank Göhmann , Karol K. Kozlowski , Junji Suzuki

This paper is concerned with the investigation of the massless regime of an integrable spin chain based on the quantum group deformation of the $OSp(3|2)$ superalgebra. The finite-size properties of the eigenspectra are computed by solving…

统计力学 · 物理学 2019-07-25 Holger Frahm , Konstantin Hobuß , Márcio J. Martins

We have solved exactly the $Osp(1|2)$ spin chain by the Bethe ansatz approach. Our solution is based on an equivalence between the $Osp(1|2)$ chain and certain special limit of the Izergin-Korepin vertex model. The completeness of the Bethe…

高能物理 - 理论 · 物理学 2009-10-28 M. J. Martins

The periodic $OSp(1|2)$ quantum spin chain has both a graded and a non-graded version. Naively, the Bethe ansatz solution for the non-graded version does not account for the complete spectrum of the transfer matrix, and we propose a simple…

高能物理 - 理论 · 物理学 2020-01-29 Rafael I. Nepomechie

We calculate the entropy and cooling rate of the antiferromagnetic spin-1/2 XXZ chain under an adiabatic demagnetization process using the quantum transfer-matrix technique and non-linear integral equations. The limiting case of the Ising…

强关联电子 · 物理学 2010-02-02 Christian Trippe , Andreas Honecker , Andreas Klümper , Vadim Ohanyan

The free energy per lattice site of a quantum spin chain in the thermodynamic limit is determined by a single `dominant' Eigenvalue of an associated quantum transfer matrix in the infinite Trotter number limit. For integrable quantum spin…

数学物理 · 物理学 2025-12-16 Saskia Faulmann , Frank Göhmann , Karol K. Kozlowski
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