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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Hikaru Takeda & Masataka Kawano & Kyo Tamura & Masatoshi Akazawa & Jian Yan & Takeshi Waki & Hiroyuki Nakamura & Kazuki Sato & Yasuo Narumi & Masayuki Hagiwara & Minoru Yamashita & Chisa Hotta, 2024. "Magnon thermal Hall effect via emergent SU(3) flux on the antiferromagnetic skyrmion lattice," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-44793-3
    DOI: 10.1038/s41467-024-44793-3
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    1. Y. Kasahara & T. Ohnishi & Y. Mizukami & O. Tanaka & Sixiao Ma & K. Sugii & N. Kurita & H. Tanaka & J. Nasu & Y. Motome & T. Shibauchi & Y. Matsuda, 2018. "Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid," Nature, Nature, vol. 559(7713), pages 227-231, July.
    2. X. Z. Yu & Y. Onose & N. Kanazawa & J. H. Park & J. H. Han & Y. Matsui & N. Nagaosa & Y. Tokura, 2010. "Real-space observation of a two-dimensional skyrmion crystal," Nature, Nature, vol. 465(7300), pages 901-904, June.
    3. Shang Gao & H. Diego Rosales & Flavia A. Gómez Albarracín & Vladimir Tsurkan & Guratinder Kaur & Tom Fennell & Paul Steffens & Martin Boehm & Petr Čermák & Astrid Schneidewind & Eric Ressouche & Danie, 2020. "Fractional antiferromagnetic skyrmion lattice induced by anisotropic couplings," Nature, Nature, vol. 586(7827), pages 37-41, October.
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