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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…

Statistical Mechanics · Physics 2025-12-09 Sayan Sircar

We study the nature of the disorder-induced quantized conductance, i.e., the phenomena of topological Anderson insulator (TAI) induced in HgTe/CdTe semiconductor quantum well. The disorder effect in several different systems where anomalous…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yanxia Xing , Lei Zhang , Jian Wang

Strong disorder drives conventional Hermitian systems into Anderson insulating states, suppressing all topological phases. Here, we unveil symmetry-protected, anomalous topological phases in the strong disorder limit of a non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 Mina Ren , Xi Shi , Haitao Jiang , Feng Liu , Hong Chen , Yong Sun

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 the disordered topological Anderson insulator in a 2-D (square not strip) geometry. We first report the phase diagram of finite systems and then study the evolution of phase boundaries when the system size is increased to a very…

Mesoscale and Nanoscale Physics · Physics 2012-11-19 Dongwei Xu , Junjie Qi , Jie Liu , Vincent Sacksteder , X. C. Xie , Hua Jiang

We study the disorder effect on the transport properties in the HgTe/CdTe semiconductor quantum wells. We confirm that at a moderate disorder strength, the initially un-quantized two terminal conductance becomes quantized, and the system…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Hua Jiang , Lei Wang , Qing-feng Sun , X. C. Xie

Disorder in atomic positions can induce a topologically nontrivial phase - topological Anderson insulator (TAI) - for transverse electric optical quasimodes of a two-dimensional honeycomb lattice of immobile atoms. TAI requires both…

Quantum Gases · Physics 2024-06-13 Sergey E. Skipetrov , Pierre Wulles

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…

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…

Mesoscale and Nanoscale Physics · Physics 2024-04-24 Aodong Li , Bingcong Xu , Biye Xie

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

We study the transition between the two-dimensional topological insulator (TI) featuring quantized edge conductance and the trivial Anderson insulator (AI) induced by strong disorder. We discover a distinct scaling behavior of TI near the…

Mesoscale and Nanoscale Physics · Physics 2022-10-11 DinhDuy Vu , Sankar Das Sarma

We study quantum phase transitions of three-dimensional disordered systems in the chiral classes (AIII and BDI) with and without weak topological indices. We show that the systems with a nontrivial weak topological index universally exhibit…

Disordered Systems and Neural Networks · Physics 2023-08-03 Zhenyu Xiao , Kohei Kawabata , Xunlong Luo , Tomi Ohtsuki , Ryuichi Shindou

We report the experimental observation of Anderson localization in two-dimensional (2D) electrons and holes in the bulk of HgTe quantum wells with a semimetallic spectrum and under strong disorder. In contrast, the one-dimensional (1D) edge…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 D. A. Khudaiberdiev , Z. D. Kvon , M. S. Ryzhkov , D. A. Kozlov , N. N. Mikhailov , A. Pimenov

We investigate the ground-state phase diagram of the spinless Haldane-Hubbard model in the presence of quenched disorder, contrasting results obtained from both exact diagonalization as well as density matrix renormalization group, applied…

Strongly Correlated Electrons · Physics 2021-11-23 Tian-Cheng Yi , Shijie Hu , Eduardo V. Castro , Rubem Mondaini

We investigate the topology and localization of one-dimensional Hermitian and non-Hermitian Su-Schrieffer-Heeger chains with quasiperiodic hopping modulations. In the Hermitian case, phase diagrams are obtained by numerically and…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 Ling-Zhi Tang , Shu-Na Liu , Guo-Qing Zhang , Dan-Wei Zhang

We investigate the presence of percolating states in disordered two-dimensional topological insulators. In particular, we uncover a close connection between these states and the so-called topological Anderson insulator (TAI), which is a…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Adrian Girschik , Florian Libisch , Stefan Rotter

Recently, the impact of disorder on topological properties has attracted significant attention in photonics, especially the intriguing disorder-induced topological phase transitions in photonic topological Anderson insulators (PTAIs).…

Optics · Physics 2025-01-22 Zhe Li , Ziming Chen , Deyang Kong , Yongzhuo Li , Kaiyu Cui , Xue Feng , Yidong Huang

Non-trivial geometry of electronic Bloch states gives rise to topological insulators which are robust against sufficiently weak randomness inevitably present in any quantum material. However, increasing disorder triggers a quantum phase…

Disordered Systems and Neural Networks · Physics 2025-11-14 Daniel J. Salib , Bitan Roy

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

We study topological insulators under dephasing noise. With examples of both a $2d$ Chern insulator and a $3d$ topological insulator protected by time-reversal symmetry, we demonstrate that there is a phase transition at finite dephasing…

Strongly Correlated Electrons · Physics 2025-11-17 Thomas G. Kiely , Cenke Xu