Non-Hermitian systems and topology: A transfer matrix perspective. (arXiv:1812.02186v1 [cond-mat.mes-hall])

Non-Hermitian topological systems are known to exhibit features strikingly
different from their Hermitian counterparts. We study these systems using a
generalized transfer matrix approach, which provides a unifying analytical
framework for tight-binding models with periodic as well as open boundary
conditions. This leads to an analytical and intuitive understanding of many of
the unusual properties of non-Hermitian systems, such as the non-Hermitian skin
effect, the breakdown of the conventional bulk-boundary correspondence, and the
appearance of exceptional points with an order scaling with system size.

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