The anomalous Landau level spreading of a singular flat band in a diatomic kagome lattice shrinks with increasing real-space bond length and vanishes at the maximal bond length, despite the maximal quantum distance staying at d=1.
d饾憳#, 饾憚"#(饾拰) is the quantum geometry tensor (QGT), where 饾渿, 饾湀=饾懃, 饾懄 are the indices of momentum. The symmetric real part of QGT, 饾憯
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Interplay of quantum and real-space geometry in the anomalous Landau levels of singular flat bands
The anomalous Landau level spreading of a singular flat band in a diatomic kagome lattice shrinks with increasing real-space bond length and vanishes at the maximal bond length, despite the maximal quantum distance staying at d=1.