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The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Recently, a new class of topological insulators has been proposed. These topological insulators have an insulating gap in…

介观与纳米尺度物理 · 物理学 2009-11-13 Markus Koenig , Hartmut Buhmann , Laurens W. Molenkamp , Taylor L. Hughes , Chao-Xing Liu , Xiao-Liang Qi , Shou-Cheng Zhang

The quantum spin Hall (QSH) state is a genuinely new state of matter characterized by a non-trivial topology of its band structure. Its key feature is conducting edge channels whose spin polarization has potential for spintronic and quantum…

A two-dimensional (2D) topological insulator (TI) exhibits the quantum spin Hall (QSH) effect, in which topologically protected spin-polarized conducting channels exist at the sample edges. Experimental signatures of the QSH effect have…

The quantum spin Hall (QSH) state is a topologically non-trivial state of quantum matter which preserves time-reversal symmetry; it has an energy gap in the bulk, but topologically robust gapless states at the edge. Recently, this novel…

介观与纳米尺度物理 · 物理学 2009-11-13 Chaoxing Liu , Taylor L. Hughes , Xiao-Liang Qi , Kang Wang , Shou-Cheng Zhang

The quantum spin Hall (QSH) effect is the property of a new state of matter which preserves time-reversal, has an energy gap in the bulk, but has topologically robust gapless states at the edge. Recently, it has been shown that HgTe quantum…

介观与纳米尺度物理 · 物理学 2009-11-13 Xi Dai , Taylor L. Hughes , Xiao-Liang Qi , Zhong Fang , Shou-Cheng Zhang

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…

介观与纳米尺度物理 · 物理学 2024-02-13 Kaifei Kang , Bowen Shen , Yichen Qiu , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

The quantum spin Hall (QSH) state, observed in a zero magnetic field in HgTe quantum wells, respects the time-reversal symmetry and is distinct from quantum Hall (QH) states. We show that the QSH state persists in strong quantizing fields…

介观与纳米尺度物理 · 物理学 2010-04-23 G. Tkachov , E. M. Hankiewicz

Recent theory predicted that the Quantum Spin Hall Effect, a fundamentally novel quantum state of matter that exists at zero external magnetic field, may be realized in HgTe/(Hg,Cd)Te quantum wells. We have fabricated such sample structures…

The field of topological insulators (TIs) is rapidly growing. Concerning possible applications, the search for materials with an easily controllable TI phase is a key issue. The quantum spin Hall effect, characterized by a single pair of…

介观与纳米尺度物理 · 物理学 2012-03-21 Paolo Michetti , Jan C. Budich , Elena G. Novik , Patrik Recher

We show that the Quantum Spin Hall Effect, a state of matter with topological properties distinct from conventional insulators, can be realized in HgTe/CdTe semiconductor quantum wells. By varying the thickness of the quantum well, the…

介观与纳米尺度物理 · 物理学 2009-11-11 B. Andrei Bernevig , Taylor L. Hughes , Shou-Cheng Zhang

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

It is a conventional wisdom that the helical edge states of quantum spin Hall (QSH) insulator are particularly stable due to the topological protection of time-reversal symmetry. Here, we report the first experimental observation of an…

介观与纳米尺度物理 · 物理学 2022-01-05 Huanhuan Yang , Lingling Song , Yunshan Cao , X. R. Wang , Peng Yan

The quantum spin Hall (QSH) effect in the DC regime, which has been intensively researched, relies on the existence of symmetry-protected edge states. Here, we demonstrate that a QSH system behaves quite differently in response to an…

介观与纳米尺度物理 · 物理学 2016-06-28 W. Y. Deng , H. Geng , Wei Luo , Wei Chen , L. Sheng , D. N. Sheng , D. Y. Xing

The celebrated family of the Hall effect plays a fundamental role in modern physics. Starting from the anomalous Hall effect (AHE) and the quantum AHE (QAHE) with broken time-reversal symmetry (TRS) to their spinful generalizations,…

介观与纳米尺度物理 · 物理学 2025-10-21 Ya-Jie Wu , Tong Li , Junpeng Hou

The quantum spin Hall (QSH) effect is known to be unstable to perturbations violating time-reversal symmetry. We show that creating a narrow ferromagnetic (FM) region near the edge of a QSH sample can push one of the counterpropagating edge…

介观与纳米尺度物理 · 物理学 2013-07-16 Huichao Li , L. Sheng , R. Shen , L. B. Shao , Baigeng Wang , D. N. Sheng , D. Y. Xing

Conventional topological classification theory dictates that time-reversal symmetry confines the quantum spin Hall (QSH) effect to a $\mathbb{Z}_2$ classification, permitting only a single pair of gapless helical edge states. Here, we…

介观与纳米尺度物理 · 物理学 2025-08-12 Zhiyu Chen , Fangyang Zhan , Zheng Qin , Da-Shuai Ma , Dong-Hui Xu , Rui Wang

The quantum spin Hall (QSH) effect, characterized by topologically protected spin-polarized edge states, was recently demonstrated in monolayers of the transition metal dichalcogenide (TMD) WTe$_2$. However, the robustness of this…

介观与纳米尺度物理 · 物理学 2024-05-07 Felix Lüpke , Dacen Waters , Anh D. Pham , Jiaqiang Yan , David G. Mandrus , Panchapakesan Ganesh , Benjamin M. Hunt

Twisted bilayer transition metal dichalcogenide semiconductors, which support flat Chern bands with enhanced interaction effects, realize a platform for fractional Chern insulators and fractional quantum spin Hall (FQSH) insulators. A…

介观与纳米尺度物理 · 物理学 2025-01-14 Kaifei Kang , Yichen Qiu , Bowen Shen , Kihong Lee , Zhengchao Xia , Yihang Zeng , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

Evidence for the quantum spin Hall (QSH) effect has been reported in several experimental systems in the form of approximately quantized edge conductance. However, the most fundamental feature of the QSH effect, spin-momentum locking in the…

In two-dimensional topological insulators, such as inverted HgTe/CdTe quantum wells, helical quantum spin Hall (QSH) states persist even at finite magnetic fields below a critical magnetic field $B_\mathrm{c}$, above which only quantum Hall…

介观与纳米尺度物理 · 物理学 2015-06-22 Benedikt Scharf , Alex Matos-Abiague , Igor Žutić , Jaroslav Fabian
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