Thermal drag revisited: Boltzmann versus Kubo

Details Thermal drag revisited: Boltzmann versus Kubo Thermal drag revisited: Boltzmann versus Kubo

2010-06-20

arxiv.org/abs/1006.3949v2

Phys. Rev. B 82, 134421 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 3 figures, published version, extended discussion

Scientific paper

10.1103/PhysRevB.82.134421

The effect of mutual drag between phonons and spin excitations on the thermal conductivity of a quantum spin system is discussed. We derive general expression for the drag component of the thermal current using both Boltzmann equation approach and Kubo linear-response formalism to leading order in the spin-phonon coupling. We demonstrate that aside from higher-order corrections which appear in the Kubo formalism both approaches yield identical results for the drag thermal conductivity. We discuss the range of applicability of our result and provide a generalization of our consideration to the cases of fermionic excitations and to anomalous forms of boson-phonon coupling. Several asymptotic regimes of our findings relevant to realistic situations are highlighted.

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