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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…

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

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…

Mesoscale and Nanoscale Physics · Physics 2010-04-23 G. Tkachov , E. M. Hankiewicz

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…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Yanmeng Shi , Joshua Kahn , Ben Niu , Zaiyao Fei , Bosong Sun , Xinghan Cai , Brian A. Francisco , Di Wu , Zhi-Xun Shen , Xiaodong Xu , David H. Cobden , Yong-Tao Cui

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Xi Dai , Taylor L. Hughes , Xiao-Liang Qi , Zhong Fang , Shou-Cheng Zhang

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…

We analyze a quantum spin Hall (QSH) device with a point contact connecting two of its edges. The contact supports a net spin tunneling current that can be probed experimentally via a two-terminal resistance measurement. We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Anders Ström , Henrik Johannesson

It has been demonstrated that topological quantum spin Hall (QSH) state exist in twisted bilayers of transition metal dichalcogenides. However, a comprehensive theoretical characterization of the topological edge states remains a topic of…

Mesoscale and Nanoscale Physics · Physics 2025-08-08 Hao He , Zhao Gong , Shuai Li , Jian-Jun Liu , Hui-Ying Mu , Xing-Tao An

Quantum spin Hall (QSH) insulators have unique electronic properties, comprising a band gap in their two-dimensional interior and one-dimensional spin-polarized edge states in which current flows ballistically. In scanning tunneling…

High-frequency transport in the edge states of the quantum spin Hall (QSH) effect has to date rarely been explored, though it could cast light on the scattering mechanisms taking place therein. We here report on the measurement of the…

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…

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 (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…

Mesoscale and Nanoscale Physics · Physics 2024-02-07 Kaifei Kang , Yichen Qiu , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

Two dimensional electronic systems under strong magnetic field form quantum Hall (QH) edge states, which propagate along the boundary of a sample with a dissipationless current. Engineering the pathway of these propagating one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Ke Wang , Achim Harzheim , Ji Ung Lee , Takashi Taniguchi , Kenji Watanabe , Philip Kim

While the helical character of the edge channels responsible for charge transport in the quantum spin Hall regime of a two-dimensional topological insulator is by now well established, an experimental confirmation that the transport in the…

Quantum Spin-Hall systems are topological insulators displaying dissipationless spin currents flowing at the edges of the samples. In contradistinction to the Quantum Hall systems where the charge conductance of the edge modes is quantized,…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Emil Prodan

The edge channels of two-dimensional topological systems are protected from elastic reflection and are noiseless at low temperature. Yet, noise and cross-correlations can be induced when electron waves partly transmit to the opposite edge…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Fabrizio Dolcini

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

Topologically nontrivial band structure of a material may give rise to special states that are confined to the material's boundary and protected against disorder and scattering. Quantum spin Hall effect (QSHE) is a paradigmatic example of…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Luis Alberto Razo López , Pierre Wulles , Geoffroy J. Aubry , Sergey E. Skipetrov , Fabrice Mortessagne

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…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Benedikt Scharf , Alex Matos-Abiague , Igor Žutić , Jaroslav Fabian
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