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The thermal conductivity of the spin-½ XXZ chain at arbitrary temperature

Andreas Klümper et al 2002 J. Phys. A: Math. Gen. 35 2173-2182   doi: 10.1088/0305-4470/35/9/307  Help

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Andreas Klümper and Kazumitsu Sakai
Theoretische Physik I, Universität Dortmund, Otto-Hahn-Str. 4, D-44221 Dortmund, Germany
E-mail: kluemper@printfix.physik.uni-dortmund.de and sakai@printfix.physik.uni-dortmund.de

Abstract. Motivated by recent investigations of transport properties of strongly correlated 1D models and thermal conductivity measurements of quasi 1D magnetic systems, we present results for the integrable spin-½ XXZ chain. The thermal conductivity κ(ω) of this model has Re κ(ω) = tilde kappaδ(ω), i.e. it is infinite for zero frequency ω. The weight tilde kappa of the delta peak is calculated exactly by a lattice path integral formulation. Numerical results for wide ranges of temperature and anisotropy are presented. The low- and high-temperature limits are studied analytically.

PACS numbers: 74.25.Fy, 02.30.lk, 75.10.Jm, 05.50.+q

Print publication: Issue 9 (8 March 2002)
Received 3 January 2002
Published 22 February 2002

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