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Topological insulators host exotic quantum phenomena such as the quantum spin Hall (QSH) effect, which enables dissipationless one-dimensional edge conduction. Realizing such states at room temperature and on a macroscopic scale is…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 Zhiqiang Hu , Yuqi Zhang , Yuyang Wang , Kebin Xiao , Xiang Li , Zhiwei Wang , Huaixin Yang , Yugui Yao , Qi-Kun Xue , Wei Li

We consider a time reversal symmetry (TRS) broken Kane-Mele model superimposed with Haldane model and chart out the phase diagram using spin Chern number to investigate the fate of quantum anomalous Hall insulator (QAHI) and quantum spin…

Mesoscale and Nanoscale Physics · Physics 2021-06-29 Sudarshan Saha , Tanay Nag , Saptarshi Mandal

Two-dimensional (2D) topological insulators (TIs), also known as quantum spin Hall (QSH) insulators, are excellent candidates for coherent spin transport related applications because the edge states of 2D TIs are robust against nonmagnetic…

Materials Science · Physics 2023-07-19 Wei Luo , Hongjun Xiang

Two-dimensional (2D) topological insulators (TIs) with a large bulk band-gap are promising for experimental studies of the quantum spin Hall effect and for spintronic device applications. Despite considerable theoretical efforts in…

A three-dimensional (3D) topological insulator (TI) is a quantum state of matter with a gapped insulating bulk yet a conducting surface hosting topologically-protected gapless surface states. One of the most distinct electronic transport…

Mesoscale and Nanoscale Physics · Physics 2015-01-06 Yang Xu , Ireneusz Miotkowski , Chang Liu , Jifa Tian , Hyoungdo Nam , Nasser Alidoust , Jiuning Hu , Chih-Kang Shih , M. Zahid Hasan , Yong P. Chen

The quantum spin Hall insulators predicted ten years ago and now experimentally observed are instrumental for a breakthrough in nanoelectronics due to non-dissipative spin-polarized electron transport through their edges. For this transport…

Materials Science · Physics 2017-03-30 I. A. Nechaev , S. V. Eremeev , E. E. Krasovskii , P. M. Echenique , E. V. Chulkov

Topological insulators are a new class of insulators in which a bulk gap for electronic excitations is generated by strong spin orbit coupling. These novel materials are distinguished from ordinary insulators by the presence of gapless…

Topological insulators (TIs) represent a new quantum state of matter characterized by robust gapless states inside the insulating bulk gap. The metallic edge states of a two-dimensional (2D) TI, known as quantum spin Hall (QSH) effect, are…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Liangzhi Kou , Binghai Yan , Feiming Hu , Shu-Chun Wu , Tim O. Wehling , Claudia Felser , Changfeng Chen , Thomas Frauenheim

2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the…

We expand the concept of two-dimensional topological insulators to encompass a novel category known as topological dipole insulators (TDIs), characterized by conserved dipole moments along the $x$-direction in addition to charge…

Mesoscale and Nanoscale Physics · Physics 2024-11-20 Ho Tat Lam , Jung Hoon Han , Yizhi You

Quantum spin Hall (QSH) insulators are two-dimensional electronic materials that have a bulk band gap like an ordinary insulator but have topologically protected pairs of edge modes of opposite chiralities. To date, experimental studies…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 Kaifei Kang , Bowen Shen , Yichen Qiu , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

The hybridization gap in strained-layer InAs/InxGa1-xSb quantum spin Hall insulators (QSHIs) is significantly enhanced compared to binary InAs/GaSb QSHI structures, where the typical indium composition, x, ranges between 0.2 and 0.4. This…

Materials Science · Physics 2025-12-24 Wenfeng Zhang , Peizhe Jia , Wen-kai Lou , Xinghao Wang , Shaokui Su , Kai Chang , Rui-Rui Du

We study electron transport at the edge of a generic disordered two-dimensional topological insulator, where some channels are topologically protected from backscattering. Assuming the total number of channels is large, we consider the edge…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 E. Khalaf , M. A. Skvortsov , P. M. Ostrovsky

The rising of quantum spin Hall insulators (QSHI) in two-dimensional (2D) systems has been attracting significant interest in current research, for which the 1D helical edge states, a hallmark of QSHI, are widely expected to be a promising…

In this review, We discussed the theoretical foundation and experimental discovery of different topological electronic states of material in condensed matter. At first, we briefly reviewed the conventional electronic states, which have been…

Materials Science · Physics 2020-11-30 Arnab Kumar Pariari

Three-dimensional topological insulators (TIs) are a perfectly tuned quantum-mechanical machinery in which counter-propagating and oppositely spin-polarized conduction channels balance each other on the surface of the material. This…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 A. I. Figueroa , T. Hesjedal , N. -J. Steinke

Quantum spin Hall (QSH) insulators, a new class of quantum matters, can support topologically protected helical edge modes inside bulk insulating gap, which can lead to dissipationless transport. A major obstacle to reach wide application…

Materials Science · Physics 2014-01-17 Hongming Weng , Xi Dai , Zhong Fang

In addition to novel surface states, topological insulators can also exhibit robust gapless states at crystalline defects. Step edges constitute a class of common defects on the surface of crystals. In this work we establish the topological…

Strongly Correlated Electrons · Physics 2019-04-17 Davide Iaia , Chang-Yan Wang , Yulia Maximenko , Daniel Walkup , R. Sankar , Fangcheng Chou , Yuan-Ming Lu , Vidya Madhavan

The field of topological insulators (TI) was sparked by the prediction of the quantum spin Hall effect (QSHE) in time reversal invariant systems, such as spin-orbit coupled monolayer graphene. Ever since, a variety of monolayer crystals…

Mesoscale and Nanoscale Physics · Physics 2018-01-19 Sanfeng Wu , Valla Fatemi , Quinn D. Gibson , Kenji Watanabe , Takashi Taniguchi , Robert J. Cava , Pablo Jarillo-Herrero

A Quantum Spin-Hall Insulator (QSHI) is implemented into a simple mass-spring Kagome lattice. The transition from the trivial state to the topological one is described by an invariant Chern number function of a contrast parameter. The band…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Hui Chen , Hussein Nassar , Andrew N. Norris , Gengkai Hu , Guoliang Huang