Magnon thermal Hall effect via emergent SU(3) flux on the antiferromagnetic skyrmion lattice

Hikaru Takeda (), Masataka Kawano (), Kyo Tamura, Masatoshi Akazawa, Jian Yan, Takeshi Waki, Hiroyuki Nakamura, Kazuki Sato, Yasuo Narumi, Masayuki Hagiwara, Minoru Yamashita and Chisa Hotta
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Hikaru Takeda: University of Tokyo
Masataka Kawano: Technical University of Munich
Kyo Tamura: University of Tokyo
Masatoshi Akazawa: University of Tokyo
Jian Yan: University of Tokyo
Takeshi Waki: Kyoto University
Hiroyuki Nakamura: Kyoto University
Kazuki Sato: Osaka University
Yasuo Narumi: Osaka University
Masayuki Hagiwara: Osaka University
Minoru Yamashita: University of Tokyo
Chisa Hotta: University of Tokyo

Nature Communications, 2024, vol. 15, issue 1, 1-8

Abstract: Abstract Complexity of quantum phases of matter is often understood theoretically by using gauge structures, as is recognized by the $${{\mathbb{Z}}}_{2}$$ Z 2 and U(1) gauge theory description of spin liquids in frustrated magnets. Anomalous Hall effect of conducting electrons can intrinsically arise from a U(1) gauge expressing the spatial modulation of ferromagnetic moments or from an SU(2) gauge representing the spin-orbit coupling effect. Similarly, in insulating ferro and antiferromagnets, the magnon contribution to anomalous transports is explained in terms of U(1) and SU(2) fluxes present in the ordered magnetic structure. Here, we report thermal Hall measurements of MnSc2S4 in an applied field up to 14 T, for which we consider an emergent higher rank SU(3) flux, controlling the magnon transport. The thermal Hall coefficient takes a substantial value when the material enters a three-sublattice antiferromagnetic skyrmion phase, which is in agreement with the linear spin-wave theory. In our description, magnons are dressed with SU(3) gauge field, which is a mixture of three species of U(1) gauge fields originating from the slowly varying magnetic moments on these sublattices.

Date: 2024
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DOI: 10.1038/s41467-024-44793-3

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