Resonant thermal Hall effect of phonons coupled to dynamical defects
arXiv:2201.11681 · doi:10.1073/pnas.2215141119
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.
arXiv comment7 pages, 3 figures
References in corpus (23)
- Anomalous Hall effect
- New Perspectives for Rashba Spin-Orbit Coupling
- Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
- Thermoelectric Response of an Interacting Two-Dimensional Electron Gas in Quantizing Magnetic Field
- Energy Magnetization and Thermal Hall Effect
- Berry Curvature and Phonon Hall Effect
- Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
- Phonons become chiral in the pseudogap phase of cuprates
- Phonon thermal Hall effect in strontium titanate
- Coordinate shift in the semiclassical Boltzmann equation and the anomalous Hall effect
- Hidden magnetism at the pseudogap critical point of a high temperature superconductor
- Thermal Hall conductivity in the cuprate Mott insulators NdCuO and SrCuOCl
- Enhanced thermal Hall effect in nearly ferroelectric insulators
- Origin of the Phonon Hall Effect in Rare-Earth Garnets
- Dissipationless Phonon Hall Viscosity
- Large Phonon Thermal Hall Conductivity in a Simple Antiferromagnetic Insulator
- Thermal Hall conductance and a relative topological invariant of gapped two-dimensional systems
- Charged Defects and Phonon Hall Effects in Ionic Crystals
- Phonon thermal Hall effect in a metallic spin ice
- Extrinsic phonon thermal Hall transport from Hall viscosity
- Thermal Hall conductivity of electron-doped cuprates
- Phonon Hall viscosity from phonon-spinon interactions
- Thermal Conductivity and Theory of Inelastic Scattering of Phonons by Collective Fluctuations
Cited by in corpus (26)
- Thermal Hall effects in quantum magnets
- Large Phonon Thermal Hall Conductivity in a Simple Antiferromagnetic Insulator
- The phonon thermal Hall angle in black phosphorus
- Kitaev Quantum Spin Liquids
- Planar thermal Hall effect from phonons in a Kitaev candidate material
- 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 CrGeTe
- Phonon thermal Hall effect in charge-compensated topological insulators
- Heat conduction in herbertsmithite: field dependence at the onset of the quantum spin liquid regime
- Thermal Hall Effect of Magnons from Many-Body Skew Scattering
- Phonon thermal Hall effect in non-magnetic YTiO
- 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
- 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