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General Construction from Topological Loop States to Topological Invariants in Exactly Flat Bands

Liu, Rui-Heng et al.
arXiv (All) · Papers
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mesoscale-and-nanoscale-physicsstrongly-correlated-electrons
Electronic flat bands have localized Wannier-like orbitals as zero modes. In the Lieb or the kagome models, the localized orbitals satisfy a topological condition that entails two non-contractible loop eigenstates along $x/y$-axis in real space, and one topological band touching point with other ban
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