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.
At the HSPs {0, π}, they also commute with the Bloch Hamiltonian β(π πΌ ) so there is an energy eigenbasis{|π’β© π π,π , π=1,
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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.