Structural disorder-induced topological phase transitions in quasicrystals

Fuente: arXiv
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Autori principali: Peng, Tan, Xiong, Yong-Chen, Hua, Chun-Bo, Liu, Zheng-Rong, Zhu, Xiaolu, Cao, Wei, Lv, Fang, Hou, Yue, Zhou, Bin, Wang, Ziyu, Xiong, Rui
Natura: Preprint
Pubblicazione: 2024
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author Peng, Tan
Xiong, Yong-Chen
Hua, Chun-Bo
Liu, Zheng-Rong
Zhu, Xiaolu
Cao, Wei
Lv, Fang
Hou, Yue
Zhou, Bin
Wang, Ziyu
Xiong, Rui
author_facet Peng, Tan
Xiong, Yong-Chen
Hua, Chun-Bo
Liu, Zheng-Rong
Zhu, Xiaolu
Cao, Wei
Lv, Fang
Hou, Yue
Zhou, Bin
Wang, Ziyu
Xiong, Rui
contents Recently, the structural disorder-induced topological phase transitions in periodic systems have attracted much attention. However, in aperiodic systems such as quasicrystalline systems, the interplay between structural disorder and band topology is still unclear. In this work, we investigate the effects of structural disorder on a quantum spin Hall insulator phase and a higher-order topological phase in a two-dimensional Amman-Beenker tiling quasicrystalline lattice, respectively. We demonstrate that the structural disorder can induce a topological phase transition from a quasicrystalline normal insulator phase to an amorphous quantum spin Hall insulator phase, which is confirmed by bulk gap closing and reopening, robust edge states, quantized spin Bott index and conductance. Furthermore, the structural disorder-induced higher-order topological phase transition from a quasicrystalline normal insulator phase to an amorphous higher-order topological phase characterized by quantized quadrupole moment and topological corner states is also found. More strikingly, the disorder-induced higher-order topological insulator with eight corner states represents a distinctive topological state that eludes realization in conventional crystalline systems. Our work extends the study of the interplay between disorder effects and topologies to quasicrystalline and amorphous systems.
format Preprint
id arxiv_https___arxiv_org_abs_2403_04338
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Structural disorder-induced topological phase transitions in quasicrystals
Peng, Tan
Xiong, Yong-Chen
Hua, Chun-Bo
Liu, Zheng-Rong
Zhu, Xiaolu
Cao, Wei
Lv, Fang
Hou, Yue
Zhou, Bin
Wang, Ziyu
Xiong, Rui
Mesoscale and Nanoscale Physics
Recently, the structural disorder-induced topological phase transitions in periodic systems have attracted much attention. However, in aperiodic systems such as quasicrystalline systems, the interplay between structural disorder and band topology is still unclear. In this work, we investigate the effects of structural disorder on a quantum spin Hall insulator phase and a higher-order topological phase in a two-dimensional Amman-Beenker tiling quasicrystalline lattice, respectively. We demonstrate that the structural disorder can induce a topological phase transition from a quasicrystalline normal insulator phase to an amorphous quantum spin Hall insulator phase, which is confirmed by bulk gap closing and reopening, robust edge states, quantized spin Bott index and conductance. Furthermore, the structural disorder-induced higher-order topological phase transition from a quasicrystalline normal insulator phase to an amorphous higher-order topological phase characterized by quantized quadrupole moment and topological corner states is also found. More strikingly, the disorder-induced higher-order topological insulator with eight corner states represents a distinctive topological state that eludes realization in conventional crystalline systems. Our work extends the study of the interplay between disorder effects and topologies to quasicrystalline and amorphous systems.
title Structural disorder-induced topological phase transitions in quasicrystals
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2403.04338