Even--odd classification of reentrant topology in a Su--Schrieffer--Heeger chain with integer-power quasiperiodic hopping
Abstract
We investigate reentrant topology in a one-dimensional Su--Schrieffer--Heeger chain with integer-power quasiperiodically modulated intracell hopping. The modulation is controlled by a positive integer exponent n and a tunable parameter β, which interpolates between a smooth integer-power quasiperiodic profile and a sign-function limit. Combining the zero-mode inverse-localization-length criterion with a real-space topological indicator, we determine the phase diagrams in the β→0, β→∞, and finite-β regimes. We find an even--odd classification of reentrant topological windows governed by the dc component and support of the full modulation profile. For positive modulation strength, odd powers yield a zero-mean sign-changing profile and can induce reentrance from the clean trivial regime |t1|>1, whereas even powers yield a positive-mean non-negative profile and allow reentrance only from the negative clean trivial regime t1<−1. Although even-power profiles contain sign-changing fluctuations after subtracting their positive average, the full modulation profile remains non-negative. This even--odd structure of the full modulation profile provides a control knob for topological Anderson-like reentrant phases. We further discuss the associated bulk localization properties and show that the phase diagrams are robust against moderate hopping fluctuations, suggesting a feasible realization in electrical circuits.
Versions
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BibTeX
@misc{niu2026evenodd,
title = {{Even--odd classification of reentrant topology in a Su--Schrieffer--Heeger chain with integer-power quasiperiodic hopping}},
author = {Yusheng Niu and Hui Liu and Zhihao Xu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.00543},
eprint = {2605.00543},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.00543},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Even--odd classification of reentrant topology in a Su--Schrieffer--Heeger chain with integer-power quasiperiodic hopping
AU - Yusheng Niu
AU - Hui Liu
AU - Zhihao Xu
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2605.00543
UR - https://arxiv.org/abs/2605.00543
AB - We investigate reentrant topology in a one-dimensional Su--Schrieffer--Heeger chain with integer-power quasiperiodically modulated intracell hopping. The modulation is controlled by a positive integer exponent n and a tunable parameter β, which interpolates between a smooth integer-power quasiperiodic profile and a sign-function limit. Combining the zero-mode inverse-localization-length criterion with a real-space topological indicator, we determine the phase diagrams in the β→0, β→∞, and finite-β regimes. We find an even--odd classification of reentrant topological windows governed by the dc component and support of the full modulation profile. For positive modulation strength, odd powers yield a zero-mean sign-changing profile and can induce reentrance from the clean trivial regime |t_1|>1, whereas even powers yield a positive-mean non-negative profile and allow reentrance only from the negative clean trivial regime t_1<−1. Although even-power profiles contain sign-changing fluctuations after subtracting their positive average, the full modulation profile remains non-negative. This even--odd structure of the full modulation profile provides a control knob for topological Anderson-like reentrant phases. We further discuss the associated bulk localization properties and show that the phase diagrams are robust against moderate hopping fluctuations, suggesting a feasible realization in electrical circuits.
ER -