The topological counterparts of non-Hermitian SSH models

The breakdown of the conventional bulk-boundary correspondence due to non-Hermitian skin effect leads non-Bloch in generalized Brillouin zone. Inspired by case equivalence between non-reciprocal hopping and imaginary gauge field, we propose a method construct topological equivalent models dimerized lattices with similarity transformations. idea constructions is from that magnetic flux vanishes under open boundary condition period spectra can be well approximated spectra. As an illustration, apply this approach several representative SSH models, efficiently obtaining invariants analytic form defined Bloch bands. gives alternative way study properties system.