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Quantum spin Hall (QSH) insulators possess edge states that are topologically protected from backscattering. However, known QSH materials (e.g. HgTe/CdTe and InAs/GaSb quantum wells) exhibit very small energy gap and only work at low…

Materials Science · Physics 2016-12-07 Liujiang Zhou , Wujun Shi , Yan Sun , Bin Shao , Claudia Felser , Binghai Yan , Thomas Frauenheim

Topological insulators [1-6] is a new quantum phase of matter with exotic properties such as dissipationless transport and protection against Anderson localization [7]. These new states of quantum matter could be one of the missing links…

Materials Science · Physics 2010-07-29 M. Klintenberg

Quantum spin-hall insulator (QSHI) processes nontrivial topology. We notice that the electronic structures of some particular QSHIs are favorable for realization of excitonic insulators (EIs). Using first-principles many-body perturbation…

Materials Science · Physics 2023-04-04 Huaiyuan Yang , Jiaxi Zeng , Yuelin Shao , Yuanfeng Xu , Xi Dai , Xin-Zheng Li

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

Ultracold atom research presents many avenues to study problems at the forefront of physics. Due to their unprecedented controllability, these systems are ideally suited to explore new exotic states of matter, which is one of the key…

Quantum Gases · Physics 2015-03-19 Indubala I Satija , Erhai Zhao

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…

The recently introduced classification of two-dimensional insulators in terms of topological crystalline invariants has been applied so far to "obstructed" atomic insulators characterized by a mismatch between the centers of the electronic…

A quantum spin Hall (QSH) insulator is a novel two-dimensional quantum state of matter that features quantized Hall conductance in the absence of magnetic field, resulting from topologically protected dissipationless edge states that bridge…

Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

Two-dimensional (2D) topological insulators (TIs) hold promise for applications in spintronics based on the fact that the propagation direction of edge electrons of a 2D TI is robustly linked to their spin origination. Here, with the use of…

Materials Science · Physics 2015-09-02 Yandong Ma , Liangzhi Kou , Ying Dai , Thomas Heine

Two-dimensional (2D) topological insulators (TIs) are promising platforms for low-dissipation spintronic devices based on the quantum spin Hall (QSH) effect, but experimental realization of such systems with a large band gap suitable for…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 P. Chen , W. -W. Pai , Y. -H. Chan , W. -L. Sun , C. -Z. Xu , D. -S. Lin , M. Y. Chou , A. -V. Fedorov , T. -C. Chiang

Quantum spin Hall (QSH) insulators are versatile platforms for exploring exotic quantum phases, especially when combined with high-order van Hove singularities (VHSs) that enhance electron correlations. However, perfect spin Hall…

Materials Science · Physics 2025-10-16 Rahul Verma , Yash Vardhan , Hsin Lin , Bahadur Singh

Topological states of quantum matter have inspired both fascinating physics findings and exciting opportunities for applications. Due to the over-complicated structure of, as well as interactions between, real materials, a faithful quantum…

Quantum Physics · Physics 2021-04-19 Jia Liu , Jun-Yi Cao , Gang Chen , Zheng-Yuan Xue

One of the main goals and challenges of materials discovery is to find the best candidates for each interest property or application. Machine learning rises in this context to efficiently optimize this search, exploring the immense…

Materials Science · Physics 2021-08-04 Gabriel R. Schleder , Bruno Focassio , Adalberto Fazzio

The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the $d$-dimension insulating bulk is confined to ($d-1$)-dimensions, led to several potential applications. Recently, it…

Topologically protected edge channels show prospects for quantum devices. They have been found experimentally in two-dimensional (2D) quantum spin Hall insulators (QSHIs), weak topological insulators and higher-order topological insulators…

Quantum spin Hall insulators (QSHIs), also known as two-dimensional topological insulators, have emerged as an unconventional class of quantum states with insulating bulk and conducting edges originating from nontrivial inverted band…

Mesoscale and Nanoscale Physics · Physics 2016-11-11 Takafumi Akiho , François Couëdo , Hiroshi Irie , Kyoichi Suzuki , Koji Onomitsu , Koji Muraki

The original motivation of great interest to topological insulators was the hope to observe the quantum spin Hall effect. Therefore if a material is in the topological insulator state they frequently call it the quantum spin Hall state.…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 E. B. Sonin

Topological phases with insulating bulk and gapless surface or edge modes have attracted much attention because of their fundamental physics implications and potential applications in dissipationless electronics and spintronics. In this…

Materials Science · Physics 2016-05-18 Yafei Ren , Zhenhua Qiao , Qian Niu

Topological insulators (TIs) exhibit novel physics with great promise for new devices, but considerable challenges remain to identify TIs with high structural stability and large nontrivial band gap suitable for practical applications. Here…

Materials Science · Physics 2015-11-27 Liangzhi Kou , Xin Tan , Yandong Ma , Hassan Tahini , Liujiang Zhou , Ziqi Sun , Aijun Du , Changfeng Chen , Sean C Smith