Resonant thermal Hall effect of phonons coupled to dynamical defects

Abstract

We present computations of the thermal Hall coefficient of phonons scattering off a defect with multiple energy levels. Using a microscopic formulation based on the Kubo formula, we find that the leading contribution perturbative in the phonon-defect coupling is proportional to the phonon lifetime, and has a `side-jump' interpretation. Consequently, the thermal Hall angle is independent of the phonon lifetime. The contribution to the thermal Hall coefficient is at resonance when the phonon energy equals a defect level spacing. Our results are obtained for three different defect models, which apply to different correlated electron materials. For the pseudogap regime of the cuprates, we propose a model of phonons coupled to an impurity quantum spin in the presence of quasi-static magnetic order with an isotropic Zeeman coupling to the applied field, and without spin-orbit interaction.

7 pages, 3 figures

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• Thermal Conductivity and Theory of Inelastic Scattering of Phonons by Collective Fluctuations
• Impurity-induced phonon thermal Hall effect in the antiferromagnetic phase of Sr2IrO4
• Sizable suppression of magnon Hall effect by magnon damping in Cr${}_2$Ge${}_2$Te${}_6$
• Phonon thermal Hall effect in charge-compensated topological insulators
• Heat conduction in herbertsmithite: field dependence at the onset of the quantum spin liquid regime
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• Thermal Hall conductivity near field-suppressed magnetic order in a Kitaev-Heisenberg model
• Topological magnon-polarons in honeycomb antiferromagnets with spin-flop transition
• Role of magnetic ions in the thermal Hall effect of the paramagnetic insulator TmVO${}_4$
• Phonon thermal Hall as a lattice Aharonov-Bohm effect
• Angle-dependent planar thermal Hall effect by quasi-ballistic phonons in black phosphorus
• Phonon Thermal Hall Effect in a non-Kramers Paramagnet
• Thermal Hall Effect and Neutral Spinons in a Doped Mott Insulator
• Upper branch thermal Hall effect in quantum paramagnets
• Thermal Hall response of an abelian chiral spin liquid at finite temperatures
• Giant quantum oscillations in thermal transport in low-density metals via electron absorption of phonons
• Extrinsic contribution to bosonic thermal Hall transport
• Field-Angle Dependence of Phonon Thermal Hall Effect in Na2X2TeO6 (X = Co, Zn)
• Phonon Thermal Hall Effect: The Roles of Disorder, Annealing, and Metallic Contacts
• Intrinsic Thermal Hall Effect in Mott Insulators