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

Andreas Klümper and Kazumitsu Sakai

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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

75.10.Pq Spin chain models

75.30.Sg Magnetocaloric effect, magnetic cooling

75.47.Pq Other materials

MSC

81S40 Path integrals (See also 58D30)

81R05 Finite-dimensional groups and algebras motivated by physics and their representations (See also 20C35, 22E70)

82D40 Magnetic materials

Subjects

Condensed matter: electrical, magnetic and optical

Dates

Issue 9 (8 March 2002)

Received 3 January 2002

Published 22 February 2002



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