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arXiv:cond-mat/0408529 · Physical Review B

Thermal transport of the XXZ chain in a magnetic field

Fabian Heidrich‐Meisner, A. Honecker, W. Brenig

Published May 26, 2005• 66 citations
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Abstract

We study the heat conduction of the spin-$1∕2$ $XXZ$ chain in finite magnetic fields where magnetothermal effects arise. Due to the integrability of this model, all transport coefficients diverge, signaled by finite Drude weights. Using exact diagonalization and mean-field theory, we analyze the temperature and field dependence of the thermal Drude weight for various exchange anisotropies under the condition of zero magnetization-current flow. First, we find a strong magnetic field dependence of the Drude weight, including a suppression of its magnitude with increasing field strength and a nonmonotonic field-dependence of the peak position. Second, for small exchange anisotropies and magnetic fields in the massless as well as in the fully polarized regime, the mean-field approach is in excellent agreement with the exact diagonalization data. Third, at the field-induced quantum critical line between the para- and ferromagnetic region, we propose a universal low-temperature behavior of the thermal Drude weight.

DOI
10.1103/physrevb.71.184415

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