Kazumitsu Sakai and Andreas Klümper 2003 J. Phys. A: Math. Gen. 36 11617 doi:10.1088/0305-4470/36/46/006
Non-dissipative thermal transport in the massive regimes of the XXZ chain
Kazumitsu Sakai1 and Andreas Klümper2
Show affiliationsWe 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 
where δ is the one-spinon (respectively one-magnon) excitation energy for the antiferromagnetic (respectively ferromagnetic) regime.
- PACS
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66.70.-f Nonelectronic thermal conduction and heat-pulse propagation in solids; thermal waves
- MSC
- Subjects
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Condensed matter: electrical, magnetic and optical
- Dates
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Issue 46 (21 November 2003)
Received 11 July 2003
Published 5 November 2003
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Non-dissipative thermal transport in the massive regimes of the XXZ chain
Kazumitsu Sakai and Andreas Klümper 2003 J. Phys. A: Math. Gen. 36 11617
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