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Using the Algebraic Bethe Ansatz we consider the correlation functions of the integrable higher spin chains. We apply a method recently developed for the spin $\frac 12$ Heisenberg chain, based on the solution of the quantum inverse…

Mathematical Physics · Physics 2014-11-18 N. Kitanine

An integrable quantum spin ladder based on the SU(4) symmetry algebra with boundary defects is studied in the framework of boundary integrability. Five nontrivial solutions of the reflection equations lead to different boundary impurities.…

Statistical Mechanics · Physics 2009-11-10 M. T. Batchelor , X. -W. Guan , A. Foerster , A. P. Tonel , H. -Q. Zhou

We consider the problem of analytically continuing energies computed with the Bethe ansatz, as posed by the study of non-compact integrable spin chains. By introducing an imaginary extensive twist in the Bethe equations, we show that one…

Mathematical Physics · Physics 2020-08-25 Etienne Granet , Jesper Lykke Jacobsen , Hubert Saleur

We derive a novel multiple integral representation for a generating function of the $\s^z$-$\s^z$ correlation functions of the spin-$\2$ XXZ chain at finite temperature and finite, longitudinal magnetic field. Our work combines algebraic…

High Energy Physics - Theory · Physics 2009-11-10 F. Göhmann , A. Klümper , A. Seel

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…

Exactly Solvable and Integrable Systems · Physics 2008-11-26 G. A. P. Ribeiro , A. Klümper

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…

Mathematical Physics · Physics 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

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,…

Statistical Mechanics · Physics 2008-02-21 Kohei Motegi , Kazumitsu Sakai

Since a long-time, the quantum integrable systems have remained an area where modern mathematical methods have given an access to interesting results in the study of physical systems. The exact computations, both numerical and asymptotic,…

Mathematical Physics · Physics 2020-12-07 Giridhar V. Kulkarni

We exploit a prescription to observe directly the physical properties of the thermodynamic limit under continuously applied field in one-dimensional quantum finite lattice systems. By systematically scaling down the energy of the…

Strongly Correlated Electrons · Physics 2015-06-16 Chisa Hotta , Naokazu Shibata

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…

Mathematical Physics · Physics 2009-11-07 Zengo Tsuboi

Finite temperature correlation functions in integrable quantum field theories are formulated only in terms of the usual, temperature-independent form factors, and certain thermodynamic filling fractions which are determined from the…

High Energy Physics - Theory · Physics 2009-10-31 A. Leclair , G. Mussardo

We study the correlation functions of su(2) invariant spin-s chains in the thermodynamic limit. We derive non-linear integral equations for an auxiliary correlation function $\omega$ for any spin s and finite temperature T. For the spin-3/2…

Statistical Mechanics · Physics 2016-07-28 G. A. P. Ribeiro , A. Klümper

We report on a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisenberg chain we derive, for arbitrary values of the anysotropy, a single non-linear…

High Energy Physics - Theory · Physics 2007-05-23 H. J. de Vega

Two different theoretical formulations of the finite temperature effects have been recently proposed for integrable field theories. In order to decide which of them is the correct one, we perform for a particular model an explicit check of…

High Energy Physics - Theory · Physics 2008-11-26 Giuseppe Mussardo

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…

Mathematical Physics · Physics 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

We show how to generalise the zero temperature Lanczos method for calculating dynamical correlation functions to finite temperatures. The key is the microcanonical ensemble, which allows us to replace the involved canonical ensemble with a…

Strongly Correlated Electrons · Physics 2009-11-10 M. W. Long , P. Prelovsek , S. El Shawish , J. Karadamoglou , X. Zotos

We propose a systematic way to investigate the low-temperature thermodynamic properties of quantum spin systems subject to the restriction that only a finite number of bosons may occupy a single lattice site. Such a kinematical interaction…

Soft Condensed Matter · Physics 2016-08-31 L. V. Popovich , M. V. Medvedev

We derive a variational cluster approximation for Heisenberg spin systems at finite temperature based on the ideas of the self-energy functional theory by Potthoff for fermionic and bosonic systems with local interactions. Partitioning the…

Strongly Correlated Electrons · Physics 2015-06-19 Stephan Filor , Thomas Pruschke

We consider a two-parameter $(\bar c, \tilde c)$ family of quantum integrable Hamiltonians for a chain of alternating spins of spin $s=1/2$ and $s=1$. We determine the thermodynamics for low-temperature $T$ and small external magnetic field…

High Energy Physics - Theory · Physics 2009-10-22 H. J. de Vega , Luca Mezincescu , Rafael I. Nepomechie

We formulate the thermodynamic Bethe Ansatz (TBA) equations for the closed (periodic boundary conditions) $A^{(2)}_2$ quantum spin chain in an external magnetic field, in the (noncritical) regime where the anisotropy parameter $\eta$ is…

High Energy Physics - Theory · Physics 2009-10-22 Luca Mezincescu , Rafael I. Nepomechie , P. K. Townsend , A. M. Tsvelik
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