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Geometric characterization of anomalous Landau levels of isolated flat bands

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Title
Geometric characterization of anomalous Landau levels of isolated flat bands
Author(s)
Yoonseok Hwang; Jun-Won Rhim; Bohm-Jung Yang
Publication Date
2021-11-05
Journal
Nature Communications, v.12, no.1
Publisher
Nature Research
Abstract
© 2021, The Author(s).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.
URI
https://pr.ibs.re.kr/handle/8788114/10875
DOI
10.1038/s41467-021-26765-z
ISSN
2041-1723
Appears in Collections:
Center for Correlated Electron Systems(강상관계 물질 연구단) > 1. Journal Papers (저널논문)
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