Thermal Hall effects due to topological spin fluctuations in YMnO3

Ha-Leem Kim, Takuma Saito, Heejun Yang, Hiroaki Ishizuka, Matthew John Coak, Jun Han Lee, Hasung Sim, Yoon Seok Oh, Naoto Nagaosa () and Je-Geun Park ()
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Ha-Leem Kim: Seoul National University
Takuma Saito: The University of Tokyo
Heejun Yang: Seoul National University
Hiroaki Ishizuka: Tokyo Institute of Technology
Matthew John Coak: Seoul National University
Jun Han Lee: Ulsan National Institute of Science and Technology
Hasung Sim: Seoul National University
Yoon Seok Oh: Ulsan National Institute of Science and Technology
Naoto Nagaosa: RIKEN Center for Emergent Matter Science (CEMS), Wako
Je-Geun Park: Seoul National University

Nature Communications, 2024, vol. 15, issue 1, 1-6

Abstract: Abstract The thermal Hall effect in magnetic insulators has been considered a powerful method for examining the topological nature of charge-neutral quasiparticles such as magnons. Yet, unlike the kagome system, the triangular lattice has received less attention for studying the thermal Hall effect because the scalar spin chirality cancels out between adjacent triangles. However, such cancellation cannot be perfect if the triangular lattice is distorted. Here, we report that the trimerized triangular lattice of multiferroic hexagonal manganite YMnO3 produces a highly unusual thermal Hall effect under an applied magnetic field. Our theoretical calculations demonstrate that the thermal Hall conductivity is related to the splitting of the otherwise degenerate two chiralities of its 120˚ magnetic structure. Our result is one of the most unusual cases of topological physics due to this broken Z2 symmetry of the chirality in the supposedly paramagnetic state of YMnO3, due to strong topological spin fluctuations with the additional intricacy of a Dzyaloshinskii-Moriya interaction.

Date: 2024
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DOI: 10.1038/s41467-023-44448-9

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