Intrinsic nonlinear thermal Hall transport of magnons: A Quantum kinetic theory approach

Abstract

We present a systematic study of the nonlinear thermal Hall responses in bosonic systems using the quantum kinetic theory framework. We demonstrate the existence of an intrinsic nonlinear boson thermal current, arising from the quantum metric which is a wavefunction dependent band geometric quantity. In contrast to the nonlinear Drude and nonlinear anomalous Hall contributions, the intrinsic nonlinear thermal conductivity is independent of the scattering timescale. We demonstrate the dominance of this intrinsic thermal Hall response in topological magnons in a two-dimensional ferromagnetic honeycomb lattice without Dzyaloshinskii-Moriya interaction. Our findings highlight the significance of band geometry induced nonlinear thermal transport and motivate experimental probe of the intrinsic nonlinear thermal Hall response with implications for quantum magnonics.

20 pages, and 5 figures; Revised version incorporating suggestions by the PRB referee's. To appear in PRB

References in corpus (42)

• Observation of the Magnon Hall Effect
• Quantum magnonics: when magnon spintronics meets quantum information science
• Berry phase effect in anomalous thermoelectric transport
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Topological Nature of the Phonon Hall Effect
• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Direct observation of 2D magnons in atomically thin CrI${}_3$
• Magnetic Two-Dimensional Chromium Trihalides: A Theoretical Perspective
• Topological Hall effect at above room temperature in heterostructures composed of a magnetic insulator and a heavy metal
• Tunable magnon Weyl points in ferromagnetic pyrochlores
• Chiral photocurrent in parity-violating magnet and enhanced response in topological antiferromagnet
• Dirac magnons in honeycomb ferromagnets
• Signature of magnon Nernst effect in an antiferromagnetic insulator
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Quantum geometry induced second harmonic generation
• Thermal Hall effect, spin Nernst effect, and spin density induced by thermal gradient in collinear ferrimagnets from magnon-phonon interaction
• Thermal vector potential theory of transport induced by temperature gradient
• Topological magnon insulator spin excitations in the two-dimensional ferromagnet CrBr${}_3$
• Nonlinear magnon spin Nernst effect in antiferromagnets and strain-tunable pure spin current
• Adiabatically Induced Orbital Magnetization
• Thermal Hall effect of magnons in collinear antiferromagnetic insulators: signatures of magnetic and topological phase transitions
• Thermal Hall Effects of Spins and Phonons in Kagome Antiferromagnet Cd-Kapellasite
• Thermoelectric Generation of Orbital Magnetization in Metals
• Bosonic Bott Index and Disorder-Induced Topological Transitions of Magnons
• Magnon valley Hall effect in CrI3-based vdW heterostructures
• Electric-field-induced lifting of the valley degeneracy in alpha-(BEDT-TTF)_2I_3 Dirac-like Landau levels
• Thermal Evolution of Dirac Magnons in the Honeycomb Ferromagnet CrBr${}_3$
• Unified bulk semiclassical theory for intrinsic thermal transport and magnetization currents
• Quantum Kinetic Theory of Nonlinear Optical Currents: Finite Fermi surface and Fermi sea contributions
• Gaps in Topological Magnon Spectra: Intrinsic vs. Extrinsic Effects
• Quantum kinetic theory of nonlinear thermal current
• Quantum Theory of Nonlinear Thermal Response
• Quantum Kinetic Theory of Thermoelectric and Thermal Transport in a Magnetic Field
• Interacting topological Dirac magnons
• Fundamental Distinction between Intrinsic and Extrinsic Nonlinear Thermal Hall Effects
• Non-linear magnon transport in a bilayer van der Waals antiferromagnets
• Magnonic thermal transport using the quantum Boltzmann equation
• Electric field control of magnons in magnetic thin films: ab initio predictions for 2D metallic heterostructures

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• Magnon Nonlinear Hall Effect in 2D Antiferromagnetic Insulators
• Intrinsic Spin Nernst Effect and Chiral Edge Modes in van der Waals Ferromagnetic Insulators: Dzyaloshinskii-Moriya vs. Kitaev Interactions
• Intrinsic Second-Order magnon Thermal Hall Effect
• Interaction-induced nonlinear magnon transport in noncentrosymmetric magnets
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Quantum geometry, localization, and topological bounds of spin fluctuations
• Topological Magnetic Phases and Magnon-Phonon Hybridization in the Presence of Strong Dzyaloshinskii-Moriya Interaction
• Intrinsic nonlinear valley Nernst effect in the strained bilayer graphene
• Inherited Berry curvature of phonons in Dirac materials with time-reversal symmetry