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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

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

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

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…

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

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

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

Disorder, ubiquitously present in solids, is normally detrimental to the stability of ordered states of matter. In this letter we demonstrate that not only is the physics of a strong topological insulator robust to disorder but, remarkably,…

Mesoscale and Nanoscale Physics · Physics 2010-12-03 H. -M. Guo , G. Rosenberg , G. Refael , M. Franz

Different disorders lead to various localization and topological phenomena in condensed matter and artificial systems. Here we study the topological and localization properties in one-dimensional Su-Schrieffer-Heeger model with spatially…

Disordered Systems and Neural Networks · Physics 2022-03-01 Shu-Na Liu , Guo-Qing Zhang , Ling-Zhi Tang , Dan-Wei Zhang

The topological Anderson and Mott insulators are two phases that have so far been separately and widely explored beyond topological band insulators. Here we combine the two seemingly different topological phases into a system of spin-1/2…

Quantum Gases · Physics 2021-11-10 Guo-Qing Zhang , Ling-Zhi Tang , Ling-Feng Zhang , Dan-Wei Zhang , Shi-Liang Zhu

We investigate the possibility of realizing a disorder-induced topological Floquet spectrum in two-dimensional periodically-driven systems. Such a state would be a dynamical realization of the topological Anderson insulator. We establish…

Disordered Systems and Neural Networks · Physics 2015-02-12 Paraj Titum , Netanel H. Lindner , Mikael C. Rechtsman , Gil Refael

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

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

Disorder, which is ubiquitous in nature, has been extensively explored in photonics for understanding the fundamental principles of light diffusion and localization, as well as for applications in functional resonators and random lasers.…

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

Abstract: Using ab initio calculations supported by experimental transport measurements, we present the first credible candidate for the realization of a disorder-induced Topological Anderson Insulator in a real material system. High energy…

Materials Science · Physics 2021-06-29 Binayak Mukherjee , Eleonora Isotta , Narges Ataollahi , Paolo Scardi

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

A central property of (Chern) topological insulators is the presence of robust asymmetric transport along interfaces separating two-dimensional insulating materials in different topological phases. A Topological Anderson Insulator is an…

Analysis of PDEs · Mathematics 2023-11-28 Guillaume Bal , Thuyen Dang

Topological insulators are crystalline materials that have revolutionized our ability to control wave transport. They provide us with unidirectional channels that are immune to obstacles, defects or local disorder, and can even survive some…

Applied Physics · Physics 2022-12-12 Zhe Zhang , Pierre Delplace , Romain Fleury
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