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The boundary modes of topological insulators are protected by the symmetries of the non-trivial bulk electronic states. Unless these symmetries are broken, they can give rise to novel phenomena, such as the quantum spin Hall effect in…

介观与纳米尺度物理 · 物理学 2020-07-10 Berthold Jäck , Yonglong Xie , B. Andrei Bernevig , Ali Yazdani

The discovery of the Quantum Spin Hall state, and topological insulators in general, has sparked strong experimental efforts. Transport studies of the Quantum Spin Hall state confirmed the presence of edge states, showed ballistic edge…

The edge states of a two-dimensional quantum spin Hall (QSH) insulator form a one-dimensional helical metal which is responsible for the transport property of the QSH insulator. Conceptually, such a one-dimensional helical metal can be…

介观与纳米尺度物理 · 物理学 2011-12-06 Yongjin Jiang , Feng Lu , Feng Zhai , Tony Low , Jiangping Hu

The stability to interactions and disorder of the quantum spin Hall effect (QSHE) proposed for time-reversal-invariant 2D systems is discussed. The QSHE requires an energy gap in the bulk and gapless edge modes that conduct spin-up and…

介观与纳米尺度物理 · 物理学 2011-03-29 Cenke Xu , J. E. Moore

A Kramers pair of helical edge states in quantum spin Hall effect (QSHE) is robust against normal dephasing but not robust to spin dephasing. In our work, we provide an effective spin dephasing mechanism in the puddles of two-dimensional…

介观与纳米尺度物理 · 物理学 2019-03-07 Junjie Qi , Haiwen Liu , Hua Jiang , X. C. Xie

Helical edge states in quantum spin Hall (QSH) materials are central building blocks of topological matter design and engineering. Despite their principal topological protection against elastic backscattering, the level of operational…

介观与纳米尺度物理 · 物理学 2023-05-05 Maciej Bieniek , Jukka I. Väyrynen , Gang Li , Titus Neupert , Ronny Thomale

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…

The helical edge states of time-reversal invariant two-dimensional topological insulators are protected against backscattering in idealized models. In more realistic scenarios with a shallow confining potential at the sample boundary,…

介观与纳米尺度物理 · 物理学 2022-11-09 Niels John , Adrian Del Maestro , Bernd Rosenow

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…

介观与纳米尺度物理 · 物理学 2016-11-11 Takafumi Akiho , François Couëdo , Hiroshi Irie , Kyoichi Suzuki , Koji Onomitsu , Koji Muraki

In a closed system, it is well known that the time-reversal symmetry can lead to Kramers degeneracy and protect nontrivial topological states such as quantum spin Hall insulator. In this letter we address the issue whether these effects are…

介观与纳米尺度物理 · 物理学 2021-08-25 Tian-Shu Deng , Lei Pan , Yu Chen , Hui Zhai

We report on a class of quantum spin Hall insulators (QSHIs) in strained-layer InAs/GaInSb quantum wells, in which the bulk gaps are enhanced by up to five folds as compared to the binary InAs/GaSb QSHI. Remarkably, with consequently…

介观与纳米尺度物理 · 物理学 2017-08-09 Lingjie Du , Tingxin Li , Wenkai Lou , Xingjun Wu , Xiaoxue Liu , Zhongdong Han , Chi Zhang , Gerard Sullivan , Amal Ikhlassi , Kai Chang , Rui-Rui Du

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…

Conventional wisdom holds that, in the simplest time-reversal-symmetric setting, strongly coupling two QSH layers yields a trivial $\mathbb Z_2$ phase and no protected topological edge states. We demonstrate that, in a regime with…

介观与纳米尺度物理 · 物理学 2025-12-17 Mengjie Yang , Ching Hua Lee

We analyze the detailed structure of topological edge mode protection occuring in hexagonal quantum spin Hall (QSH) materials. We focus on bismuthene, antimonene, and arsenene on a SiC substrate, which, due to their large bulk gap, may…

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…

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…

介观与纳米尺度物理 · 物理学 2021-06-29 Sudarshan Saha , Tanay Nag , Saptarshi Mandal

We consider a buckled quantum spin Hall insulator (QSHI), such as silicene, proximity-coupled to a conventional spin-singlet, s-wave superconductor. Even limiting the discussion to the disorder-robust s-wave pairing symmetry, we find both…

超导电性 · 物理学 2017-11-17 Dushko Kuzmanovski , Annica M. Black-Schaffer

Quantum spin Hall (QSH) insulators are a topologically protected phase of matter in two dimensions that can support non-dissipative spin transport. A hallmark of the phase is a pair of helical edge states surrounding an insulating bulk. A…

介观与纳米尺度物理 · 物理学 2024-02-07 Kaifei Kang , Yichen Qiu , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

Quantum spin Hall (QSH) insulators exhibit spin-polarized conducting edge states that are topologically protected from backscattering and offer unique opportunities for addressing fundamental science questions and device applications.…

介观与纳米尺度物理 · 物理学 2026-01-14 Rajibul Islam , Rahul Verma , Barun Ghosh , Zahir Muhammad , Arun Bansil , Carmine Autieri , Bahadur Singh

Low-dimensional electronic systems have traditionally been obtained by electrostatically confining electrons, either in heterostructures or in intrinsically nanoscale materials such as single molecules, nanowires, and graphene. Recently, a…

介观与纳米尺度物理 · 物理学 2014-02-12 A. F. Young , J. D. Sanchez-Yamagishi , B. Hunt , S. H. Choi , K. Watanabe , T. Taniguchi , R. C. Ashoori , P. Jarillo-Herrero
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