Successive Phase Transition in Higher-order Topological Anderson Insulators

Fuente: arXiv
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Autores principales: Li, Aodong, Xu, Bingcong, Xie, Biye
Formato: Preprint
Publicado: 2024
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author Li, Aodong
Xu, Bingcong
Xie, Biye
author_facet Li, Aodong
Xu, Bingcong
Xie, Biye
contents Disorder, traditionally believed to hinder the propagation of waves. has recently been shown to prompt the occurrence of topological phase transitions. For example, when disorder strength continuously increases and surpasses certain critical value, a phase transition from topologically trivial to nontrivial insulating phases occurs. However, in the parameter domain of the nontrivial phase, whether there exists a finer phase diagram that can be further classified by different disorder strengths is still unclear. Here we present a successive topological phase transition driven by the disorder strength in a higher-order topological insulator with long-range couplings. As the strength of the disorder gradually increases, the real-space topological invariant of the system undergoes a consecutive change from 0 to 4, accompanied by the stepped increase in the number of boundary-localized corner states. Our work opens an avenue for utilizing disorder to induce phase transitions among different higher-order topological insulators.
format Preprint
id arxiv_https___arxiv_org_abs_2404_15088
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Successive Phase Transition in Higher-order Topological Anderson Insulators
Li, Aodong
Xu, Bingcong
Xie, Biye
Mesoscale and Nanoscale Physics
Disordered Systems and Neural Networks
Disorder, traditionally believed to hinder the propagation of waves. has recently been shown to prompt the occurrence of topological phase transitions. For example, when disorder strength continuously increases and surpasses certain critical value, a phase transition from topologically trivial to nontrivial insulating phases occurs. However, in the parameter domain of the nontrivial phase, whether there exists a finer phase diagram that can be further classified by different disorder strengths is still unclear. Here we present a successive topological phase transition driven by the disorder strength in a higher-order topological insulator with long-range couplings. As the strength of the disorder gradually increases, the real-space topological invariant of the system undergoes a consecutive change from 0 to 4, accompanied by the stepped increase in the number of boundary-localized corner states. Our work opens an avenue for utilizing disorder to induce phase transitions among different higher-order topological insulators.
title Successive Phase Transition in Higher-order Topological Anderson Insulators
topic Mesoscale and Nanoscale Physics
Disordered Systems and Neural Networks
url https://arxiv.org/abs/2404.15088