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Wulayimu, Maimaiti
복잡계 이론물리 연구단
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Non-Hermitian flat-band generator in one dimension

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Title
Non-Hermitian flat-band generator in one dimension
Author(s)
Wulayimu Maimaiti; Alexey, ANDREANOV
Publication Date
2021-07
Journal
PHYSICAL REVIEW B, v.104, no.3
Publisher
AMER PHYSICAL SOC
Abstract
Flat bands-dispersionless bands-have been actively studied thanks to their sensitivity to perturbations, which makes them natural candidates for hosting novel and exotic states of matter. In parallel, non-Hermitian systems have attracted much attention in recent years as a simplified description of open system with gain and loss, motivated by potential applications. In particular, non-Hermitian system with dispersionless energy bands in their spectrum have been studied theoretically and experimentally. In general, flat bands require fine tuning of the Hamiltonian or protection by a symmetry. A number of methods was suggested to construct non-Hermitian flat bands relying either on the presence of symmetries, or specific frustrated geometries, often inspired by Hermitian models featuring flat bands. We introduce a systematic method to construct non-Hermitian flat bands using one-dimensional two-band tight-binding networks as an example, extending the methods used to construct systematically Hermitian flat bands. We show that the non-Hermitian case admits fine-tuned, nonsymmetry protected flat bands and provides more types of flat bands than the Hermitian case.
URI
https://pr.ibs.re.kr/handle/8788114/10108
DOI
10.1103/PhysRevB.104.035115
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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