Charged Defects and Phonon Hall Effects in Ionic Crystals

Abstract

It has been known for decades that a magnetic field can deflect phonons as they flow in response to a thermal gradient, producing a thermal Hall effect. Several recent experiments have revealed ratios of the phonon Hall conductivity to the phonon longitudinal conductivity in oxide dielectrics that are larger than $10^{-3}$ when phonon mean-free-paths exceed phonon wavelengths. At the same time ${\kappa }_H/{\kappa }_L$ is not strongly temperature dependent. We argue that these two properties together imply a mechanism related to phonon scattering from defects that break time-reversal symmetry, and we show that Lorentz forces acting on charged defects produce substantial skew-scattering amplitudes, and related thermal Hall effects that are consistent with recent observations.

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Cited by in corpus (30)

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• Large Phonon Thermal Hall Conductivity in a Simple Antiferromagnetic Insulator
• The phonon thermal Hall angle in black phosphorus
• Giant effective magnetic moments of chiral phonons from orbit-lattice coupling
• Resonant thermal Hall effect of phonons coupled to dynamical defects
• Phonon thermal Hall effect in a metallic spin ice
• Phonon Thermal Hall Conductivity from Scattering with Collective Fluctuations
• Kitaev Quantum Spin Liquids
• Phonon drag thermal Hall effect in metallic strontium titanate
• Large extrinsic phonon thermal Hall effect from resonant scattering
• Thermal Conductivity and Theory of Inelastic Scattering of Phonons by Collective Fluctuations
• Magnetic field-controlled lattice thermal conductivity in MnBi2Te4
• Impurity-induced phonon thermal Hall effect in the antiferromagnetic phase of Sr2IrO4
• Phononic-magnetic dichotomy of the thermal Hall effect in the Kitaev-Heisenberg candidate material Na${}_2$Co${}_2$TeO${}_6$
• Phonon thermal Hall effect in charge-compensated topological insulators
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• Phonon Thermal Hall Effect in a non-Kramers Paramagnet
• Angle-dependent planar thermal Hall effect by quasi-ballistic phonons in black phosphorus
• Large Thermal Hall Effect in MnPS${}_3$
• Phonon thermal Hall as a lattice Aharonov-Bohm effect
• Extrinsic contribution to bosonic thermal Hall transport
• Phonon Thermal Hall Effect: The Roles of Disorder, Annealing, and Metallic Contacts
• Field-Angle Dependence of Phonon Thermal Hall Effect in Na2X2TeO6 (X = Co, Zn)
• Intrinsic Thermal Hall Effect in Mott Insulators
• Intrinsic thermal Hall effect of optical phonons enhanced by discrete rotational symmetry