Realization of staircase topological Anderson phase transitions

Fuente: arXiv
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Autori principali: Mannai, Marwa, Shu, Yaoyao, Haddad, Sonia, Ren, Mina, Chen, Hong, Sun, Yong, Sati, Hisham
Natura: Preprint
Pubblicazione: 2026
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author Mannai, Marwa
Shu, Yaoyao
Haddad, Sonia
Ren, Mina
Chen, Hong
Sun, Yong
Sati, Hisham
author_facet Mannai, Marwa
Shu, Yaoyao
Haddad, Sonia
Ren, Mina
Chen, Hong
Sun, Yong
Sati, Hisham
contents One-dimensional topological Anderson insulators provide a paradigm for disorder-induced topological phases in which the underlying system turns from a trivial to a topological phase. It is widely recognized that the latter vanishes at large disorder amplitude. Here, and contrary to the general belief, we provide evidence for a successive disorder-driven topological transitions in a single-wall nanotube, culminating in a topological Anderson phase that remains unexpectedly robust at strong disorder. This phenomenon is confirmed by analysis of the corresponding topological invariant, which increases stepwise as disorder increases, giving evidence for the emergence of edge states. We experimentally implement these topological Anderson staircase phase transitions in a one-dimensional topolectrical circuit, where the persistence of edge states is revealed by node-voltage measurements. The robustness of the edge states is corroborated by numerical calculations of their localization properties. Our work opens the road to topological disordertronics, where topological phases can be tuned by disorder.
format Preprint
id arxiv_https___arxiv_org_abs_2601_14769
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Realization of staircase topological Anderson phase transitions
Mannai, Marwa
Shu, Yaoyao
Haddad, Sonia
Ren, Mina
Chen, Hong
Sun, Yong
Sati, Hisham
Mesoscale and Nanoscale Physics
Disordered Systems and Neural Networks
One-dimensional topological Anderson insulators provide a paradigm for disorder-induced topological phases in which the underlying system turns from a trivial to a topological phase. It is widely recognized that the latter vanishes at large disorder amplitude. Here, and contrary to the general belief, we provide evidence for a successive disorder-driven topological transitions in a single-wall nanotube, culminating in a topological Anderson phase that remains unexpectedly robust at strong disorder. This phenomenon is confirmed by analysis of the corresponding topological invariant, which increases stepwise as disorder increases, giving evidence for the emergence of edge states. We experimentally implement these topological Anderson staircase phase transitions in a one-dimensional topolectrical circuit, where the persistence of edge states is revealed by node-voltage measurements. The robustness of the edge states is corroborated by numerical calculations of their localization properties. Our work opens the road to topological disordertronics, where topological phases can be tuned by disorder.
title Realization of staircase topological Anderson phase transitions
topic Mesoscale and Nanoscale Physics
Disordered Systems and Neural Networks
url https://arxiv.org/abs/2601.14769