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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) 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

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

We have a comparative study of the quantum spin Hall (QSH) effects induced by non-magnetic and magnetic staggered potentials respectively and show that they have the same effect in driving the topological phase transition. The result…

介观与纳米尺度物理 · 物理学 2015-05-27 Huaiming Guo , Shiping Feng , Shun-Qing Shen

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

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

The quantum spin hall (QSH) phase, also known as the 2D topological insulator, is characterized by protected helical edge modes arising from time reversal symmetry. While initially proposed for band insulators, this phase can also manifest…

强关联电子 · 物理学 2024-03-26 Yixin Ma , Shenghan Jiang , Chao Xu

The realization of quantum spin Hall (QSH) effect in HgTe quantum wells (QWs) is considered a milestone in the discovery of topological insulators. The QSH edge states are predicted to allow current to flow at the edges of an insulating…

On the surface of 2D Topological insulators occur 1D quantum spin Hall(QSH) edge modes with Dirac like dispersion. Unlike quantum Hall(QH) edge modes which occur at high magnetic fields in 2DEGs, the occurrence of QSH edge modes is because…

介观与纳米尺度物理 · 物理学 2016-03-15 Arjun Mani , Colin Benjamin

Despite the rapid progresses in the field of quantum spin Hall (QSH) effect, most of the QSH systems studied up to now are based on crystalline materials. Here we propose that the QSH effect can be realized in quasicrystal lattices (QLs).…

介观与纳米尺度物理 · 物理学 2018-10-02 Huaqing Huang , Feng Liu

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 anomalous Hall (QAH) effect has been recently discovered in experiment using thin-film topological insulator with ferromagnetic ordering and strong spin-orbit coupling. Here we investigate the spin degree of freedom of a QAH…

介观与纳米尺度物理 · 物理学 2014-09-30 Jiansheng Wu , Jie Liu , Xiong-Jun Liu

Atomically thin topological materials are attracting growing attention for their potential to radically transform classical and quantum electronic device concepts. Amongst them is the quantum spin Hall (QSH) insulator - a two-dimensional…

介观与纳米尺度物理 · 物理学 2021-04-28 Michael S. Lodge , Shengyuan A. Yang , Shantanu Mukherjee , Bent Weber

While the quantum spin Hall (QSH) effect and antiferromagnetic order constitute two of the most promising phenomena for embedding basic spintronic concepts into future technologies, almost all of the QSH insulators known to date are…

材料科学 · 物理学 2017-05-22 C. Niu , J. -P. Hanke , P. M. Buhl , G. Bihlmayer , D. Wortmann , S. Blügel , Y. Mokrousov

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 develop an analytical theory of the low-frequency $ac$ quantum spin Hall (QSH) effect based upon the scattering matrix formalism. It is shown that the $ac$ QSH effect can be interpreted as a bulk quantum pumping effect. When the electron…

介观与纳米尺度物理 · 物理学 2018-05-23 W. Y. Deng , Y. J. Ren , Z. X. Lin , 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

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…

Driven by various physical origins, the interesting reentrant phenomena in quantum Hall effect (QHE), quantum anomalous Hall effect (QAHE) and non-Hermitian systems have been discussed recently. Here, we present that the reentrant phenomena…

介观与纳米尺度物理 · 物理学 2023-06-16 Xiaoyu Cheng , Xiaohong Zheng , Jun Chen , Liantuan Xiao , Suotang Jia , Lei Zhang

We propose an optical counterpart of the quantum spin Hall (QSH) effect in a two-dimensional photonic crystal composed of a gyrotropic medium exhibiting both gyroelectric and gyromagnetic properties simultaneously. Such QSH effect shows…

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