Topological Thermal Hall Effect of Magnons in Magnetic Skyrmion Lattice

Abstract

Topological transports of fermions are governed by the Chern numbers of the energy bands lying below the Fermi energy. For bosons, e.g. phonons and magnons in a crystal, topological transport is dominated by the Chern number of the lowest energy band when the band gap is comparable to the thermal energy. Here, we demonstrate the presence of topological transport by bosonic magnons in a lattice of magnetic skyrmions - topological defects formed by a vortex-like texture of spins. We find a distinct thermal Hall signal in the magnetic skyrmion phase of an insulating polar magnet GaV4Se8, identified as the topological thermal Hall effect of magnons governed by the Chern number of the lowest energy band of the magnons in a triangular lattice of magnetic skyrmions. Our findings lay a foundation for studying topological phenomena of other bosonic excitations through thermal Hall probe.

arXiv comment24 pages, 5 figures, 1 Table and Supplementary Materials. To appear in Phys. Rev. Research

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• Thermal Hall effects in quantum magnets
• Topological Phases in Magnonics
• Rhombic skyrmion lattice coupled with orthorhombic structural distortion in EuAl${}_4$
• Planar Thermal Hall Effects in Kitaev Spin Liquid Candidate Na2Co2TeO6
• Emergent SU(3) magnons and thermal Hall effect in the antiferromagnetic skyrmion lattice
• Phonon thermal Hall effect in Mott insulators via skew-scattering by the scalar spin chirality
• In-plane anisotropy of the single-$q$ and multiple-$q$ ordered phases in the antiferromagnetic metal CeRh${}_2$Si${}_2$ unveiled by the bulk measurements under uniaxial stress and neutron scattering
• Robustness of topological magnons in disordered arrays of skyrmions
• Momentum-space theory for topological magnons in 2D ferromagnetic skyrmion lattices
• Magnetic structure of polar magnet GaV${}_4$Se${}_8$ with Néel-type skyrmion lattice probed by ${}^{51}$V NMR
• Theory of magnetic vortex crystals induced by electric dipole interactions
• High-throughput search for topological magnon materials
• Thermal Hall effect and gauge-field picture of magnons in antiferromagnetic skyrmion crystals
• Field-Angle Dependence of Phonon Thermal Hall Effect in Na2X2TeO6 (X = Co, Zn)
• Topological transition in spectrum of skyrmion crystal with uniaxial anisotropy
• On thermal Hall effect in boson systems
• Impact of the honeycomb spin-lattice on topological magnons and edge states in ferromagnetic 2D skyrmion crystals
• Topological magnons in a non-coplanar magnetic order on the triangular lattice
• Anomalies in the thermal conductivity of honeycomb antiferromagnet MnPS${}_3$
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields