Bound states in the continuum in a two-channel Fano-Anderson model

• URL: http://arxiv.org/abs/2201.04210v3
• Date: Tue, 2 Aug 2022 21:44:51 GMT
• Title: Bound states in the continuum in a two-channel Fano-Anderson model
• Authors: Basti\'an Grez, Juan Pablo Ramos-Andrade, Vladimir Juri\v{c}i\'c and Pedro A. Orellana
• Abstract summary: We study the formation of the bound states in the continuum (BICs) in a two-channel Fano-Anderson model. Our results show that the system hosts true BICs for the case of a symmetric configuration with the degenerate impurity levels. We argue that the proposed mechanism could be relevant for the realization of BICs in the electronic and photonic systems.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this article, we study the formation of the bound states in the continuum (BICs) in a two-channel Fano-Anderson model. We employ the Green's function formalism, together with the equation of motion method, to analyze the relevant observables, such as the transmission coefficient and the density of states. Most importantly, our results show that the system hosts true BICs for the case of a symmetric configuration with the degenerate impurity levels, and a complete transmission channel is then suppressed. Finally, we argue that the proposed mechanism could be relevant for the realization of BICs in the electronic and photonic systems.

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