Thermal Hall effects in quantum magnets

Abstract

In the recent years, the thermal Hall transport has risen as an important diagnosis of the physical properties of the elementary excitations in various quantum materials, especially among the Mott insulating systems where the electronic transports are often featureless. Here we review the recent development of thermal Hall effects in quantum magnets where all the relevant excitations are charge-neutral. In addition to summarizing the existing experiments, we pay a special attention to the underlying mechanisms of the thermal Hall effects in various magnetic systems, and clarify the connection between the microscopic physical variables and the emergent degrees of freedom in different quantum phases. The external magnetic field is shown to modify the intrinsic Berry curvature properties of various emergent and/or exotic quasiparticle excitations in distinct fashions for different quantum systems and quantum phases, contributing to the thermal Hall transports. These include, for example, the conventional ones like the magnons in ordered magnets, the triplons in dimerized magnets, the exotic and fractionalized quasiparticles such as the spinons and the magnetic monopoles in quantum spin liquids. We review their contribution and discuss their presence in the thermal Hall conductivity in different physical contexts. We expect this review to provide a useful guidance for the physical mechanism of the thermal Hall transports in quantum magnets.

56 pages, 26 figures. A focused review

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Cited by in corpus (37)

• Kitaev Quantum Spin Liquids
• Spontaneous Crystal Thermal Hall Effect in Insulating Altermagnets
• Rare-Earth Chalcogenides: An Inspiring Playground For Exploring Frustrated Magnetism
• Thermal Hall effect incorporating magnon damping in localized spin systems
• Phonon thermal Hall effect in Mott insulators via skew-scattering by the scalar spin chirality
• Thermal Hall Effect of Magnons from Many-Body Skew Scattering
• Chiral phonons induced from spin dynamics via magnetoelastic anisotropy
• Electric field induced thermal Hall effect of triplons in the quantum dimer magnets $X$CuCl${}_3$ ($X=$ Tl, K)
• Magnon Nonlinear Hall Effect in 2D Antiferromagnetic Insulators
• Topological phase transitions and thermal Hall effect in a noncollinear spin texture
• High Chern numbers and topological flat bands in high-field polarized Kitaev magnets on the star lattice
• Angle-dependent planar thermal Hall effect by quasi-ballistic phonons in black phosphorus
• Successive topological phase transitions in two distinct spin-flop phases on the honeycomb lattice
• Thermal Hall Effect and Neutral Spinons in a Doped Mott Insulator
• Criticality and magnetic phases of Ising Shastry-Sutherland candidate holmium tetraboride
• Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives
• Topological switching in bilayer magnons via electrical control
• Thermal Hall response of an abelian chiral spin liquid at finite temperatures
• Upper branch thermal Hall effect in quantum paramagnets
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• Extrinsic contribution to bosonic thermal Hall transport
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Flavor Nernst effects in quantum paramagnets
• Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices
• Angular-Dependent Thermal Hall Effect in a Honeycomb Magnet: Disentangling Kitaev and Dzyaloshinskii-Moriya Interactions
• Gauge flux generations of weakly magnetized Dirac spin liquid in a kagomé lattice
• Berry Curvature of Low-Energy Excitons in Rhombohedral Graphene
• Intrinsic Thermal Hall Effect in Mott Insulators
• Chiral Phonons Arising From Chirality-Selective Magnon-Phonon Coupling
• Band topology and dynamic multiferroicity induced from dynamical Dzyaloshinskii-Moriya interactions in centrosymmetric lattices
• Ferroelectric Switchable Topological Magnon Hall Effect in Type-I Multiferroics
• Self-consistent renormalized spin-wave theory of magnetic and topological transitions in two-dimensional honeycomb ferromagnets
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