Quantum geometry and magnon Hall transport in an altermagnet

Abstract

We compute magnon Hall conductivities in a minimal model of a two-dimensional altermagnet. To do so, we derive an analytic expression for the relevant quantum geometric tensor describing two-band bosonic Bogoliubov Hamiltonians, providing insight into the geometric, topological, and transport properties. The magnon thermal Hall and spin Nernst conductivities are shown to directly depend on the altermagnetic parameter, which may serve as an experimental probe of altermagnetism.

9 pages, 6 figures

References in corpus (10)

• Non-Hermitian Topology and Exceptional-Point Geometries
• Discovery of a metallic room-temperature d-wave altermagnet KV2Se2O
• Two-dimensional altermagnets: Superconductivity in a minimal microscopic model
• Squaring the fermion: The threefold way and the fate of zero modes
• Many-body effects on superconductivity mediated by double-magnon processes in altermagnets
• Spontaneous Crystal Thermal Hall Effect in Insulating Altermagnets
• Spin Splitting Nernst Effect in Altermagnet
• Origin of $A$-type antiferromagnetism and chiral split magnons in altermagnetic $\alpha$-MnTe
• Magnon Hall effect in antiferromagnetic lattices
• Intrinsic Spin Nernst Effect and Chiral Edge Modes in van der Waals Ferromagnetic Insulators: Dzyaloshinskii-Moriya vs. Kitaev Interactions

Cited by in corpus (3)

• Altermagnetism and its induced higher-order topology on the Lieb lattice
• Spin-resolved quasiparticle interference patterns on altermagnets via non-spin-resolved scanning tunneling microscopy
• Ferroelectricity in a magnon Bose-Einstein condensate: Nonreciprocal superfluidity, exceptional points, and Majorana bosons