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Main Authors: Li, Guan-Qiang, Lin, Zhi-Yu, Dong, You-Jiao, Xue, Ya-Feng, Ren, Chun-Yang, Peng, Ping
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2601.20479
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author Li, Guan-Qiang
Lin, Zhi-Yu
Dong, You-Jiao
Xue, Ya-Feng
Ren, Chun-Yang
Peng, Ping
author_facet Li, Guan-Qiang
Lin, Zhi-Yu
Dong, You-Jiao
Xue, Ya-Feng
Ren, Chun-Yang
Peng, Ping
contents The localization property of a non-Hermitian Su-Schrieffer-Heeger (SSH) chain with quasi-periodic on-site potential is investigated. In contrast to the preceding investigations, the quantum phase transition between localized state and extended one is achieved by adjusting the strength of intracellular or intercellular hopping. The energy spectra and eigenstate distributions of the system's Hamiltonian near the boundary of the phase transition exhibit different behaviors when the Hermiticity, non-Hermiticity and mosaic modulation of the quasi-periodic potential are considered, respectively. The existence of the mobility ring is revealed in the non-Hermitian SSH chain by studying of the critical behaviors near the boundary. More interestingly, the multiple mobility rings emerge when the period number of the mosaic modulation is increased. The result is helpful for the investigation of the localization-delocalization transition in the SSH-type system under the combined action of the non-Hermiticity and quasi-periodicity.
format Preprint
id arxiv_https___arxiv_org_abs_2601_20479
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Multiple mobility rings in non-Hermitian Su-Schrieffer-Heeger chain with quasiperiodic potentials
Li, Guan-Qiang
Lin, Zhi-Yu
Dong, You-Jiao
Xue, Ya-Feng
Ren, Chun-Yang
Peng, Ping
Quantum Physics
The localization property of a non-Hermitian Su-Schrieffer-Heeger (SSH) chain with quasi-periodic on-site potential is investigated. In contrast to the preceding investigations, the quantum phase transition between localized state and extended one is achieved by adjusting the strength of intracellular or intercellular hopping. The energy spectra and eigenstate distributions of the system's Hamiltonian near the boundary of the phase transition exhibit different behaviors when the Hermiticity, non-Hermiticity and mosaic modulation of the quasi-periodic potential are considered, respectively. The existence of the mobility ring is revealed in the non-Hermitian SSH chain by studying of the critical behaviors near the boundary. More interestingly, the multiple mobility rings emerge when the period number of the mosaic modulation is increased. The result is helpful for the investigation of the localization-delocalization transition in the SSH-type system under the combined action of the non-Hermiticity and quasi-periodicity.
title Multiple mobility rings in non-Hermitian Su-Schrieffer-Heeger chain with quasiperiodic potentials
topic Quantum Physics
url https://arxiv.org/abs/2601.20479