Complex Wannier centers derived from nonunitary Wilson loops in non-Hermitian Hamiltonians predict directional drift of Wannier functions and a bulk-boundary correspondence for filling anomalies and gain/loss in edge modes.
Under the gauge transformation (B2), ๐บ ๐ transforms as ๐บ ๐ โ๐บ โฒ ๐ =๐ฟ โฒโ ๐+ฮ ๐ โฒ ๐ =(๐ โ1 ๐+ฮ)๐บ ๐ ๐๐,(B6) i.e., it is gauge-covariant
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Complex Wannier centers and drifting Wannier functions in non-Hermitian Hamiltonians
Complex Wannier centers derived from nonunitary Wilson loops in non-Hermitian Hamiltonians predict directional drift of Wannier functions and a bulk-boundary correspondence for filling anomalies and gain/loss in edge modes.