Document Type

Article

Publication Date

3-28-2023

Abstract

In this paper, we present a unifying analytical framework for identifying conditions for transport effects such as reflectionless and transparent transport, lasing, and coherent perfect absorption in non-Hermitian nonreciprocal systems using a generalized transfer matrix method. This provides a universal approach to studying the transport of tight-binding platforms, including higher-dimensional models and those with an internal degree of freedom going beyond the previously studied case of one-dimensional chains with nearest-neighbor couplings. For a specific class of tight-binding models, the relevant transport conditions and their signatures of non-Hermitian, nonreciprocal, and topological behavior are analytically tractable from a general perspective. We investigate this class and illustrate our formalism in a paradigmatic ladder model where the system’s parameters can be tuned to adjust the transport effect and topological phases.

Comments

©2023 American Physical Society. Original published version available at https://doi.org/10.1103/PhysRevB.107.125155

Publication Title

Physical Review B

DOI

https://doi.org/10.1103/PhysRevB.107.125155

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