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We uncover the relationship of topology and disorder in a one-dimensional Su-Schrieffer-Heeger chain subjected to a slowly varying quasi-periodic modulation. By numerically calculating the disorder-averaged winding number and analytically…

Disordered Systems and Neural Networks · Physics 2022-07-20 Zhanpeng Lu , Zhihao Xu , Yunbo Zhang

We study disorder effects in a two-dimensional system with chiral symmetry and find that disorder can induce a quadrupole topological insulating phase (a higher-order topological phase with quadrupole moments) from a topologically trivial…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Yan-Bin Yang , Kai Li , L. -M. Duan , Yong Xu

The topological phase in amorphous systems adds a new dimension to the topological states of matter. Here, we present an interesting phenomenon dubbed the topological Anderson amorphous insulator (TAAI). Anderson disorder can drive…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Xiaoyu Cheng , Tiantao Qu , Liantuan Xiao , Suotang Jia , Jun Chen , Lei Zhang

A different type of topological phase dubbed topological inverse Anderson insulators is proposed, which is characterized by the disorder-induced extended bulk states from the flat-band localization and topological edge states. Based on the…

Mesoscale and Nanoscale Physics · Physics 2024-08-29 Zheng-Wei Zuo , Jing-Run Lin , Dawei Kang

Recent breakthrough on topological Anderson insulators revealed the breakdown of the traditional perception that sufficiently strong disorder may induce the appearance of topological protected transport states instead of destruction.…

Mesoscale and Nanoscale Physics · Physics 2021-11-15 Hui Liu , Boyang Xie , Haonan Wang , Wenwei Liu , Zhancheng Li , Hua Cheng , Jianguo Tian , Zhengyou Liu , Shuqi Chen

This paper details the investigation of the influence of different disorders in two-dimensional topological insulator systems. Unlike the phase transitions to topological Anderson insulator induced by normal Anderson disorder, a different…

Disordered Systems and Neural Networks · Physics 2013-01-01 Juntao Song , Haiwen Liu , Hua Jiang , Qing-feng Sun , X. C. Xie

Algebraic and geometric mean density of states in disordered systems may reveal properties of electronic localization. In order to understand the topological phases with disorder in two dimensions, we present the calculated density of…

Mesoscale and Nanoscale Physics · Physics 2013-12-02 Yan-Yang Zhang , Shun-Qing Shen

Topology and disorder have deep connections and a rich combined influence on quantum transport. In order to probe these connections, we synthesized one-dimensional chiral symmetric wires with controllable disorder via spectroscopic…

In the long-range Su-Schriffer-Heeger (SSH) model, in which the next nearest-neighbor hopping is considered, there exhibits a rich topological phase diagram that contains winding numbers $w=0, 1$, and $2$. In the presence of disorder, the…

Mesoscale and Nanoscale Physics · Physics 2020-12-11 Hsu-Chuan Hsu , Tsung-Wei Chen

Two-dimensional topological insulators are characterized by an insulating bulk and conductive edge states protected by the nontrivial topology of the bulk electronic structure. They remain robust against moderate disorder until Anderson…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Roberta Favata , Nicolas Baù , Antimo Marrazzo

Although topological Anderson insulator has been predicted in 2009, the lasting investigations of this disorder established nontrivial state results in only two experimental observations in cold atoms [Science, {\bf 362 },929 (2018)] and in…

Disordered Systems and Neural Networks · Physics 2019-11-27 Zhi-Qiang Zhang , Bing-Lan Wu , Juntao Song , Hua Jiang

The hallmark property of two-dimensional topological materials is the incredible robustness of the quantized Hall conductivity to disorder. That robustness arises from the fact that in the topological band gap, transport can occur only…

We analyze the influence of disorder and strong correlations on the topology in two dimensional Chern insulators. A mean field calculation in the half-filled Haldane model with extended Hubbard interactions and Anderson disorder shows that…

Strongly Correlated Electrons · Physics 2024-09-19 Joao S. Silva , Eduardo V. Castro , Rubem Mondaini , María A. H. Vozmediano , M. Pilar López-Sancho

Recently, a new family of symmetry-protected higher-order topological insulators has been proposed and was shown to host lower-dimensional boundary states. However, with the existence of the strong disorder in the bulk, the crystal symmetry…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Weixuan Zhang , Deyuan Zou , Qingsong Pei , Wenjing He , Jiacheng Bao , Houjun Sun , Xiangdong Zhang

The interplay among topology, disorder, and non-Hermiticity can induce some exotic topological and localization phenomena. Here we investigate this interplay in a two-dimensional non-Hermitian disordered Chern-insulator model with two…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 Ling-Zhi Tang , Ling-Feng Zhang , Guo-Qing Zhang , Dan-Wei Zhang

Topological states of matter in disordered systems without translation symmetry have attracted great interest in recent years. These states with topological characters are not only robust against certain disorders, but also can be…

Disordered Systems and Neural Networks · Physics 2026-05-08 Dan-Wei Zhang , Ling-Zhi Tang

A global phase diagram of disordered weak and strong topological insulators is established numerically. As expected, the location of the phase boundaries is renormalized by disorder, a feature recognized in the study of the so-called…

Mesoscale and Nanoscale Physics · Physics 2013-06-14 Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

Topological Anderson insulators represent a class of disorder-induced, nontrivial topological states of matter. In this study, we propose a feasible strategy to unveil and design topological Anderson insulators protected by latent…

Disordered Systems and Neural Networks · Physics 2026-03-05 Jing-Run Lin , Shuo Wang , Hui Li , Zheng-Wei Zuo

Disorder plays an important role in two dimensions, and is responsible for striking phenomena such as metal insulator transition and the integral and fractional quantum Hall effects. In this paper, we investigate the role of disorder in the…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Jian Li , Rui-Lin Chu , J. K. Jain , Shun-Qing Shen

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…

Mesoscale and Nanoscale Physics · Physics 2026-01-22 Marwa Mannai , Yaoyao Shu , Sonia Haddad , Mina Ren , Hong Chen , Yong Sun , Hisham Sati
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