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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…

介观与纳米尺度物理 · 物理学 2024-04-24 Aodong Li , Bingcong Xu , Biye Xie

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…

介观与纳米尺度物理 · 物理学 2021-04-14 Weixuan Zhang , Deyuan Zou , Qingsong Pei , Wenjing He , Jiacheng Bao , Houjun Sun , Xiangdong Zhang

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.…

介观与纳米尺度物理 · 物理学 2021-11-15 Hui Liu , Boyang Xie , Haonan Wang , Wenwei Liu , Zhancheng Li , Hua Cheng , Jianguo Tian , Zhengyou Liu , Shuqi Chen

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…

无序系统与神经网络 · 物理学 2019-11-27 Zhi-Qiang Zhang , Bing-Lan Wu , Juntao Song , Hua Jiang

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…

无序系统与神经网络 · 物理学 2026-05-08 Dan-Wei Zhang , Ling-Zhi Tang

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…

介观与纳米尺度物理 · 物理学 2023-08-25 Xiaoyu Cheng , Tiantao Qu , Liantuan Xiao , Suotang Jia , Jun Chen , Lei Zhang

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…

介观与纳米尺度物理 · 物理学 2013-06-14 Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

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…

介观与纳米尺度物理 · 物理学 2021-02-05 Yan-Bin Yang , Kai Li , L. -M. Duan , Yong Xu

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…

应用物理 · 物理学 2022-12-12 Zhe Zhang , Pierre Delplace , Romain Fleury

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…

无序系统与神经网络 · 物理学 2026-03-05 Jing-Run Lin , Shuo Wang , Hui Li , Zheng-Wei Zuo

We numerically investigate the topological phase transition induced purely by disorder in a spring-mass chain. We employ two types of disorders - chiral and random types - to explore the interplay between topology and disorder. By tracking…

We have found the first instance of a third-order topological Anderson insulator (TOTAI). This disorder-induced topological phase is gapped and characterized by a quantized octupole moment and topologically protected corner states, as…

无序系统与神经网络 · 物理学 2024-09-19 Hugo Lóio , Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro

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,…

介观与纳米尺度物理 · 物理学 2010-12-03 H. -M. Guo , G. Rosenberg , G. Refael , M. Franz

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 examine the transition from trivial to non-trivial phases in a Su-Schrieffer-Heeger model subjected to disorder in a quasi-periodic environment. We analytically determine the phase boundary, and characterize the localization of normal…

统计力学 · 物理学 2025-12-09 Sayan Sircar

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 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…

无序系统与神经网络 · 物理学 2015-02-12 Paraj Titum , Netanel H. Lindner , Mikael C. Rechtsman , Gil Refael

We present an effective medium theory that explains the disorder-induced transition into a phase of quantized conductance, discovered in computer simulations of HgTe quantum wells. It is the combination of a random potential and quadratic…

介观与纳米尺度物理 · 物理学 2013-07-09 C. W. Groth , M. Wimmer , A. R. Akhmerov , J. Tworzydło , C. W. J. Beenakker

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…

介观与纳米尺度物理 · 物理学 2009-04-06 Jian Li , Rui-Lin Chu , J. K. Jain , Shun-Qing Shen

We examine the emergence of topological Anderson insulating phases in the spinful Haldane model with Hubbard and next-neighbor density-density interactions, subject to Anderson disorder. Using finite-size exact diagonalization, we…

介观与纳米尺度物理 · 物理学 2026-05-28 Alejandro J. Uría-Álvarez , Roser Valentí
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