Transport effects in non-Hermitian nonreciprocal systems: General approach

• URL: http://arxiv.org/abs/2302.03240v2
• Date: Tue, 28 Mar 2023 17:34:32 GMT
• Title: Transport effects in non-Hermitian nonreciprocal systems: General approach
• Authors: Hamed Ghaemi-Dizicheh
• Abstract summary: We present a unifying analytical framework for identifying conditions for transport effects in non-Hermitian nonreciprocal systems. For a specific class of tight-binding models, the relevant transport conditions and their signatures are analytically tractable from a general perspective.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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