Thermal drag revisited: Boltzmann versus Kubo

Abstract

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.

14 pages, 3 figures, published version, extended discussion

References in corpus (11)

• Transport and conservation laws
• Magnon Heat Transport in (Sr,La)_14Cu_24O_41
• Heat transport by lattice and spin excitations in the spin chain compounds SrCuO_2 and Sr_2CuO_3
• Heat conduction in low-dimensional quantum magnets
• Ballistic heat transport of quantum spin excitations as seen in SrCuO2
• Thermal Conductivity of Spin-1/2 Chains
• Low-temperature phonon thermal conductivity of cuprate single crystals
• Thermal conductivity of quasi-one-dimensional antiferromagnetic spin-chain materials
• Thermal transport in antiferromagnetic spin-chain materials
• Universal behavior of spin-mediated energy transport in S=1/2 chain cuprates: BaCu2Si2O7 as an example
• Heat transport of clean spin-ladders coupled to phonons: Umklapp scattering and drag

Cited by in corpus (8)

• Finite-temperature transport in one-dimensional quantum lattice models
• Spin and thermal conductivity of quantum spin ladders
• Spinon heat transport and spin-phonon interaction in the antiferromagnetic spin-1/2 Heisenberg chain cuprates Sr2CuO3 and SrCuO2
• Ballistic magnon heat conduction and possible Poiseuille flow in the helimagnetic insulator Cu${}_2$OSeO${}_3$
• Thermal Conductivity and Theory of Inelastic Scattering of Phonons by Collective Fluctuations
• Thermal drag in spin ladders coupled to phonons
• Thermal and optical conductivity in the Holstein model at half filling and at finite temperature in the Luttinger-liquid and charge-density-wave regime
• Spin drag mechanism of giant thermal magnetoresistance