Theory of Phonon Hall Effect in Paramagnetic Dielectrics

Abstract

Based upon spin-lattice interaction, we propose a theoretical model for the phonon Hall effect in paramagnetic dielectrics. The thermal Hall conductivity is calculated by using the Kubo formula. Our theory reproduces the essential experimental features of the phonon Hall effect discovered recently in ionic dielectric Tb${}_3$Ga${}_5$O${}_{12}$, including the sign, magnitude and linear magnetic field dependence of the thermal Hall conductivity.

arXiv comment5 pages, 3 figures

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• Dynamical Multiferroicity
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• Model for Topological Phononics and Phonon Diode
• Orbital magnetic moments of phonons
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• Phonon thermal Hall effect in strontium titanate
• Thermal Hall Effect Induced by Magnon-Phonon Interactions
• Giant effective magnetic fields from optically driven chiral phonons in 4$f$ paramagnets
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• Anomalous Hall effect for the phonon heat conductivity in paramagnetic dielectric
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• Phono-magnetic analogs to opto-magnetic effects
• Emergence of nontrivial magnetic excitations in a spin liquid state of kagome volborthite
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• Recipe for Dirac Phonon States with Quantized Valley Berry Phase in Two Dimensional Hexagonal Lattices
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• Topological Magnetoelastic Excitations in Non-Collinear Antiferromagnets
• Chiral Phonon Induced Spin-Polarization
• Topological edge floppy modes in disordered fiber networks
• ${\mathbb{Z}}_2$ Topological Invariant for Magnon Spin Hall Systems
• Fracturing of topological Maxwell lattices
• Large Phonon Thermal Hall Conductivity in a Simple Antiferromagnetic Insulator
• Phonon Hall thermal conductivity from Green-Kubo formula
• The phonon Hall effect: theory and application
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• Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems
• Giant effective magnetic moments of chiral phonons from orbit-lattice coupling
• Anomalous thermal Hall effect and anomalous Nernst effect of CsV${}_3$Sb${}_5$
• Thermal Hall Effects of Spins and Phonons in Kagome Antiferromagnet Cd-Kapellasite
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• Lattice dynamics with molecular Berry curvature: chiral optical phonons
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• Topological mechanics in quasicrystals
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• Dzyaloshinskii-Moriya Induced Topological Magnon-Phonon Hybridization in 2D Antiferromagnetic Insulators with Tunable Chern Numbers
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• Phonon Hall Effect in Four-Terminal Junctions
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• Correlated Quantum Phenomena of Spin-Orbit Coupled Perovskite Oxide Heterostructures: Cases of SrRuO3 and SrIrO3-Based Artificial Superlattices
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• High-field thermal transport properties of the Kitaev quantum magnet alpha-RuCl3: evidence for low-energy excitations beyond the critical field
• Spontaneous Crystal Thermal Hall Effect in Insulating Altermagnets
• Fragile phonon topology on the honeycomb lattice with time-reversal symmetry
• Sizeable suppression of thermal Hall effect upon isotopic substitution in strontium titanate
• Intrinsic nonlinear thermal Hall transport of magnons: A Quantum kinetic theory approach
• Phonon Hall effect in ionic crystals in the presence of static magnetic field
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• Thermal Conductivity and Theory of Inelastic Scattering of Phonons by Collective Fluctuations
• Hybrid topological magnon-phonon modes in honeycomb and kagome lattices
• Phonon Hall effect with first-principles calculations
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• Exciton-activated effective phonon magnetic moment in monolayer MoS2
• Thermal Hall effect incorporating magnon damping in localized spin systems
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• Magnetic Signature of Chiral Phonons Revealed by Neutron Spectroscopy in Ferrimagnetic Fe${}_{1.75}$Zn${}_{0.25}$Mo${}_3$O${}_8$
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