Chirality-driven Hall Transport Phenomena of Spins

Abstract

Experimental and theoretical aspects of Hall-type transport of spins in magnetic insulators are reviewed, with emphasis on their spin chirality origin. A general formalism for linear response theory of thermal Hall transport in the spin model is developed, which can be applied to both the magnon and the paramagnetic, spin-liquid regimes. Recent experiments on magnon-mediated thermal Hall transport in the two-dimensional kagome, and three-dimensional pyrochlore ferromagnetic insulators are reviewed in light of the multi-band magnon theory of Hall transport, and compared to the more mysterious thermal Hall transport found in the putative quantum spin ice material. As realizations of spin-chirality driven magnon transport in the real space, we review the general theory of emergent gauge fields governing the magnon dynamics in the textured magnet, and discuss its application to the magnon-Skyrmion scattering problem. Topological magnon Hall effect driven by the Skyrmion texture is discussed.

Review article submitted for JPSJ Special Topics "Spin Conversion Phenomena in Spintronics". Comments are welcome

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• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Interaction-stabilized topological magnon insulator in ferromagnets
• Anomalous Thermal Hall Effect in an Insulating van der Waals Magnet VI3
• Origin of the Magnetic Spin Hall Effect: Spin Current Vorticity in the Fermi Sea
• Nonlinear magnon spin Nernst effect in antiferromagnets and strain-tunable pure spin current
• ${\mathbb{Z}}_2$ Topological Invariant for Magnon Spin Hall Systems
• Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems
• Topological magnons in a kagome lattice spin system with $XXZ$ and Dzyaloshinskii-Moriya interactions
• Thermal Hall Effects of Spins and Phonons in Kagome Antiferromagnet Cd-Kapellasite
• Orbital Magnetic Moment of Magnons
• Spin Seebeck and Spin Nernst Effects of Magnons in Noncollinear Antiferromagnetic Insulators
• Three-dimensional topological magnon systems
• Consideration of Thermal Hall Effect in Undoped Cuprates
• Topological Thermal Hall Effect of Magnons in Magnetic Skyrmion Lattice
• Phonon Thermal Hall Conductivity from Scattering with Collective Fluctuations
• Topological thermal Hall effect driven by fluctuation of spin chirality in frustrated antiferromagnets
• Spin Nernst effect in the Paramagnetic Regime of An Antiferromagnetic Insulator
• Topological Magnetic Excitations on the Distorted Kagome Antiferromagnets: Applications to Volborthite, Vesignieite, and Edwardsite
• Sizeable suppression of thermal Hall effect upon isotopic substitution in strontium titanate
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Topological Valley Transport of Gapped Dirac Magnons in Bilayer Ferromagnetic Insulators
• Topical Review on Skyrmions and Hall Transport
• Dirac surface states in magnonic analogs of topological crystalline insulators
• Topological Magnon Bands in Ferromagnetic Star Lattice
• Thermal Hall Effect of Chiral Spin Fluctuations
• Time-dependent strain-tuning topological magnon phase transition
• Topological magnon-polarons in honeycomb antiferromagnets with spin-flop transition
• Magnon Hall effect in antiferromagnetic lattices
• Strain Engineering of Photo-induced Topological Phases in 2D Ferromagnets
• Transversal transport of magnons in a modified Lieb lattice
• Magnon bands and transverse transport in a proposed two-dimensional $C{u}_2{F}_5$ ferrimagnet
• 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
• Intrinsic Thermal Hall Effect in Mott Insulators
• Topological Invariant for Bosonic Bogoliubov-de Gennes Systems with Disorder
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions