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.
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A metric-tensor-based covariant formalism uniquely defines the Berry connection in non-Hermitian systems, resolving GL(N,C) gauge ambiguities and enabling consistent geometric phases and topological invariants.
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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.
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Resolving Gauge Ambiguities of the Berry Connection in Non-Hermitian Systems
A metric-tensor-based covariant formalism uniquely defines the Berry connection in non-Hermitian systems, resolving GL(N,C) gauge ambiguities and enabling consistent geometric phases and topological invariants.