Non-Hermitian comb effect in coupled clean and quasiperiodic chains

Fuente: arXiv
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Auteurs principaux: Padhi, Soumya Ranjan, Roy, Souvik, Paul, Biswajit, Banerjee, Sanchayan, Mishra, Tapan
Format: Preprint
Publié: 2025
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author Padhi, Soumya Ranjan
Roy, Souvik
Paul, Biswajit
Banerjee, Sanchayan
Mishra, Tapan
author_facet Padhi, Soumya Ranjan
Roy, Souvik
Paul, Biswajit
Banerjee, Sanchayan
Mishra, Tapan
contents We study localization properties in a system of non-Hermitian quasiperiodic chain coupled to a uniform chain or clean chain by inter-chain hopping. We find that in the limit of weak inter-chain coupling, such a coupled system exhibits transitions from delocalized to intermediate phase with increase in the non-Hermiticity parameter. However, for stronger inter-chain coupling strengths, the delocalized phase undergoes a transition to localized phase and then to an intermediate phase. Interestingly, the intermediate phase in this case exhibits the non-Hermitian comb effect (NHCE), i.e., the coexistence of localized and extended states rather than being well separated from each other by any mobility edge which is conventional in any intermediate phase. We further show that such a NHCE originates from the isolated site limit of the quasiperiodic chain and provide an analytical explanation supporting the numerical signatures.
format Preprint
id arxiv_https___arxiv_org_abs_2509_26615
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-Hermitian comb effect in coupled clean and quasiperiodic chains
Padhi, Soumya Ranjan
Roy, Souvik
Paul, Biswajit
Banerjee, Sanchayan
Mishra, Tapan
Quantum Gases
Other Condensed Matter
Quantum Physics
We study localization properties in a system of non-Hermitian quasiperiodic chain coupled to a uniform chain or clean chain by inter-chain hopping. We find that in the limit of weak inter-chain coupling, such a coupled system exhibits transitions from delocalized to intermediate phase with increase in the non-Hermiticity parameter. However, for stronger inter-chain coupling strengths, the delocalized phase undergoes a transition to localized phase and then to an intermediate phase. Interestingly, the intermediate phase in this case exhibits the non-Hermitian comb effect (NHCE), i.e., the coexistence of localized and extended states rather than being well separated from each other by any mobility edge which is conventional in any intermediate phase. We further show that such a NHCE originates from the isolated site limit of the quasiperiodic chain and provide an analytical explanation supporting the numerical signatures.
title Non-Hermitian comb effect in coupled clean and quasiperiodic chains
topic Quantum Gases
Other Condensed Matter
Quantum Physics
url https://arxiv.org/abs/2509.26615