Non-dissipative thermal transport in the massive regimes of the XXZ chain

Details Non-dissipative thermal transport in the massive regimes of the XXZ chain Non-dissipative thermal transport in the massive regimes of the XXZ chain

2003-07-10

arxiv.org/abs/cond-mat/0307227v1

J.Phys.A36:11617-11629,2003

Physics

Condensed Matter

Statistical Mechanics

16 pages

Scientific paper

10.1088/0305-4470/36/46/006

We present exact results on the thermal conductivity of the one-dimensional spin-1/2 XXZ model in the massive antiferromagnetic and ferromagnetic regimes. The thermal Drude weight is calculated by a lattice path integral formulation. Numerical results for wide ranges of temperature and anisotropy as well as analytical results in the low and high temperature limits are presented. At finite temperature, the thermal Drude weight is finite and hence there is non-dissipative thermal transport even in the massive regime. At low temperature, the thermal Drude weight behaves as $D(T)\sim \exp(-\delta/T)/\sqrt{T}$ where $\delta$ is the one-spinon (respectively one-magnon) excitation energy for the antiferromagnetic (respectively ferromagnetic) regime.

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