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Algebraic localization of Wannier functions implies Chern triviality in non-periodic insulators

Lu, Jianfeng et al.
arXiv (All) · Papers
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mathematical-physicsmesoscale-and-nanoscale-physics
For gapped periodic systems (insulators), it has been established that the insulator is topologically trivial (i.e., its Chern number is equal to $0$) if and only if its Fermi projector admits an orthogonal basis with finite second moment (i.e., all basis elements satisfy $\int |\boldsymbol{x}|^2 |w
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