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Perfect flat band with chirality and charge ordering out of strong spin-orbit interaction

Author

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  • Hiroki Nakai

    (University of Tokyo)

  • Chisa Hotta

    (University of Tokyo)

Abstract

Spin-orbit interaction has established itself as a key player in the emergent phenomena in modern condensed matter, including topological insulator, spin liquid and spin-dependent transports. However, its function is rather limited to adding topological nature to band kinetics, leaving behind the growing interest in the direct interplay with electron correlation. Here, we prove by our spinor line graph theory that a very strong spin-orbit interaction realized in 5d pyrochlore electronic systems generates multiply degenerate perfect flat bands. Unlike any of the previous flat bands, the electrons in this band localize in real space by destructively interfering with each other in a spin selective manner governed by the SU(2) gauge field. These electrons avoid the Coulomb interaction by self-organizing their localized wave functions, which may lead to a flat-band state with a stiff spin chirality. It also causes perfectly trimerized charge ordering, which may explain the recently discovered exotic low-temperature insulating phase of CsW2O6.

Suggested Citation

  • Hiroki Nakai & Chisa Hotta, 2022. "Perfect flat band with chirality and charge ordering out of strong spin-orbit interaction," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-28132-y
    DOI: 10.1038/s41467-022-28132-y
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    References listed on IDEAS

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    1. Yonglong Xie & Biao Lian & Berthold Jäck & Xiaomeng Liu & Cheng-Li Chiu & Kenji Watanabe & Takashi Taniguchi & B. Andrei Bernevig & Ali Yazdani, 2019. "Spectroscopic signatures of many-body correlations in magic-angle twisted bilayer graphene," Nature, Nature, vol. 572(7767), pages 101-105, August.
    2. Yuan Cao & Valla Fatemi & Shiang Fang & Kenji Watanabe & Takashi Taniguchi & Efthimios Kaxiras & Pablo Jarillo-Herrero, 2018. "Unconventional superconductivity in magic-angle graphene superlattices," Nature, Nature, vol. 556(7699), pages 43-50, April.
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