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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…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Markus Koenig , Hartmut Buhmann , Laurens W. Molenkamp , Taylor L. Hughes , Chao-Xing Liu , Xiao-Liang Qi , Shou-Cheng Zhang

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…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Xiaoyu Cheng , Xiaohong Zheng , Jun Chen , Liantuan Xiao , Suotang Jia , Lei Zhang

Spin Hall effect (SHE), a fundamental transport phenomenon with non-zero spin current but vanishing charge current, has important applications in spintronics for the electrical control of spins. Owing to the half-spin nature of electrons,…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 Junpeng Hou , Ying Su , Chuanwei Zhang

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chaoxing Liu , Taylor L. Hughes , Xiao-Liang Qi , Kang Wang , Shou-Cheng Zhang

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…

Topological insulators (TIs) are a novel class of materials with nontrivial surface or edge states. Time-reversal symmetry (TRS) protected TIs are characterized by the Z2 topological invariant and their helical property becomes lost in an…

Mesoscale and Nanoscale Physics · Physics 2015-03-10 Lingjie Du , Ivan Knez , Gerard Sullivan , Rui-Rui Du

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…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Zhiyu Chen , Fangyang Zhan , Zheng Qin , Da-Shuai Ma , Dong-Hui Xu , Rui Wang

The search of new topological insulators that demonstrate the quantum anomalous Hall effect (QAHE) is a cutting-edge research topic in condensed matter physics and materials science. So far, the QAHE has been observed only in Cr-doped…

Materials Science · Physics 2015-03-13 Jun Hu , Zhenyue Zhu , Ruqian Wu

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

Quantum spin Hall (QSH) state of matter is usually considered to be protected by time-reversal (TR) symmetry. We investigate the fate of the QSH effect in the presence of the Rashba spin-orbit coupling and an exchange field, which break…

Mesoscale and Nanoscale Physics · Physics 2011-08-15 Yunyou Yang , Zhong Xu , L. Sheng , Baigeng Wang , D. Y. Xing , D. N. Sheng

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…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 W. Y. Deng , H. Geng , Wei Luo , Wei Chen , L. Sheng , D. N. Sheng , D. Y. Xing

The spin-Hall effect underpins some of the most active topics in modern physics, including spin torques and the inverse spin-Hall effect, yet it lacks a proper theoretical description. This makes it difficult to differentiate the SHE from…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Hongyang Ma , James H. Cullen , Serajum Monir , Rajib Rahman , Dimitrie Culcer

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

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Taylor L. Hughes , Shou-Cheng Zhang

The quantum anomalous Hall effect (QAHE), the last member of Hall family, was predicted to exhibit quantized Hall conductivity e2/h without any external magnetic field. The QAHE shares a similar physical phenomenon with the integer quantum…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Cui-Zu Chang , Mingda Li

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…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Huaiming Guo , Shiping Feng , Shun-Qing Shen

The quantum spin Hall effect (QSHE), a hallmark of topological insulators, enables dissipationless, spin-polarized edge transport and has been predicted in various two-dimensional materials. However, challenges such as limited scalability,…

With recent advances in simulating quantum phenomena in cold atoms, the higher-rank spin tensor Hall effect was discovered in larger spin systems with spin-tensor-momentum coupling, which is an extension of the celebrated spin Hall effects…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 Xiaoru He , Ling-Zheng Meng , Junpeng Hou , Xi-Wang Luo , Ya-Jie Wu

Recently we wrote a paper on the theory of the quantum spin Hall effect(QSHE) in two dimensional(2D) topological insulators(TIs)1 which have been considered as do not add much new insight to the exhaustively studied topic of TI within a…

Mesoscale and Nanoscale Physics · Physics 2013-02-05 Yi-Dong Wu

Quantum spin Hall (QSH) system can exhibit exotic spin transport phenomena, mediated by its topological edge states. Here a novel concept of bending strain engineering to tune the spin transport properties of a QSH system is demonstrated by…

Mesoscale and Nanoscale Physics · Physics 2017-06-20 Bing Huang , Kyung-Hwan Jin , Bin Cui , Feng Zhai , Jiawei Mei , Feng Liu
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