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Geometric characterization of anomalous Landau levels of isolated flat bands

Author

Listed:
  • Yoonseok Hwang

    (Institute for Basic Science (IBS)
    Seoul National University
    Seoul National University)

  • Jun-Won Rhim

    (Institute for Basic Science (IBS)
    Seoul National University
    Ajou University)

  • Bohm-Jung Yang

    (Institute for Basic Science (IBS)
    Seoul National University
    Seoul National University)

Abstract

According to the Onsager’s semiclassical quantization rule, the Landau levels of a band are bounded by its upper and lower band edges at zero magnetic field. However, there are two notable systems where the Landau level spectra violate this expectation, including topological bands and flat bands with singular band crossings, whose wave functions possess some singularities. Here, we introduce a distinct class of flat band systems where anomalous Landau level spreading (LLS) appears outside the zero-field energy bounds, although the relevant wave function is nonsingular. The anomalous LLS of isolated flat bands are governed by the cross-gap Berry connection that measures the wave-function geometry of multi bands. We also find that symmetry puts strong constraints on the LLS of flat bands. Our work demonstrates that an isolated flat band is an ideal system for studying the fundamental role of wave-function geometry in describing magnetic responses of solids.

Suggested Citation

  • Yoonseok Hwang & Jun-Won Rhim & Bohm-Jung Yang, 2021. "Geometric characterization of anomalous Landau levels of isolated flat bands," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
  • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-021-26765-z
    DOI: 10.1038/s41467-021-26765-z
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    References listed on IDEAS

    as
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