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We analyze electron transport in multiprobe quantum spin Hall (QSH) bars using the B\"{u}ttiker formalism and draw parallels with their quantum Hall (QH) counterparts. We find that in a QSH bar the measured resistance changes upon…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 Awadhesh Narayan , Stefano Sanvito

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

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

The solutions for the helical edge states for an effective continuum model for the quantum spin Hall effect in HgTe/CdTe quantum wells are presented. For a sample of a large size, the solution gives the linear dispersion for the edge…

Mesoscale and Nanoscale Physics · Physics 2008-12-22 Bin Zhou , Hai-Zhou Lu , Rui-Lin Chu , Shun-Qing Shen , Qian Niu

We investigate the dependence of band dispersion of the quantum spin Hall effect (QSHE) edge states in the Kane-Mele model on crystallographic orientation of the edges. Band structures of the one-dimensional honeycomb lattice ribbons show…

Mesoscale and Nanoscale Physics · Physics 2013-03-13 Gabriel Autès , Oleg V. Yazyev

The results of the longitudinal and Hall magnetoresistivity measurements in the Shubnikov - de Haas oscillation regime for the HgCdTe/HgTe/HgCdTe heterostructures with a wide (20.3 nm) HgTe quantum well are presented. An anomalous phase…

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…

Mesoscale and Nanoscale Physics · Physics 2012-03-21 Paolo Michetti , Jan C. Budich , Elena G. Novik , Patrik Recher

We study numerically the edge magnetoconductance of a quantum spin Hall insulator in the presence of quenched nonmagnetic disorder. For a finite magnetic field B and disorder strength W on the order of the bulk gap E_g, the conductance…

Mesoscale and Nanoscale Physics · Physics 2010-10-08 Joseph Maciejko , Xiao-Liang Qi , Shou-Cheng Zhang

Quantum spin Hall (QSH) effect, where electrons with opposite spin channels are deflected to opposite sides of a two-dimensional system with a quantized conductance, was believed to be characterized by a nontrivial topological index…

Materials Science · Physics 2024-10-16 Lu Liu , Yuntian Liu , Jiayu Li , Hua Wu , Qihang Liu

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…

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…

Mesoscale and Nanoscale Physics · Physics 2025-12-17 Mengjie Yang , Ching Hua Lee

We study the quantum Hall states in the lowest Landau level for a single wide quantum well. Due to a separation of charges to opposite sides of the well, a single wide well can be modelled as an effective two level system. We provide…

Condensed Matter · Physics 2009-10-28 M. Abolfath , L. Belkhir , N. Nafari

We measured the magnetoresistance of bilayer quantum Hall (QH) effects at the fractional filling factor $\nu =2/3$ by changing the total electron density and the density difference between two layers. Three different QH states were…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Kumada , D. Terasawa , Y. Shimoda , H. Azuhata , A. Sawada , Z. F. Ezawa , K. Muraki , T. Saku , Y. Hirayama

A monolayer of WTe$_2$ has been shown to display quantum spin Hall (QSH) edge modes persisting up to 100~K in transport experiments. Based on density-functional theory calculations and symmetry-based model building including the role of…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Seulgi Ok , Lukas Muechler , Domenico Di Sante , Giorgio Sangiovanni , Ronny Thomale , Titus Neupert

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

Momentum resolved magneto-tunnelling spectroscopy is performed at a single sharp quantum Hall edge. We directly probe the structure of individual integer quantum Hall (QH) edge modes, and find that an epitaxially overgrown cleaved edge…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Huber , M. Grayson , M. Rother , W. Biberacher , W. Wegscheider , G. Abstreiter

The recent discovery of the 3D quantum Hall effect in $\mathrm{HfTe_5}$ has also revealed puzzling signatures of possible 3D fractionalization. Beyond the first plateau associated with the lowest Landau band, Hall conductivity exhibits a…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Jun-Hong Li , Yi-Yuan Chen , Peng-Lu Zhao , Hai-Zhou Lu , X. C. Xie

Quantum spin Hall (QSH) effect is an intriguing phenomenon arising from the helical edge states in two-dimensional topological insulators. We use molecular beam epitaxy (MBE) to prepare FeSe films with atomically sharp nematic domain…

Superconductivity · Physics 2019-01-15 Yonghao Yuan , Wei Li* , Bin Liu , Peng Deng , Zhilin Xu , Xi Chen , Canli Song , Lili Wang , Ke He , Gang Xu* , Xucun Ma , Qi-Kun Xue*

It is widely known that quantum spin Hall (QSH) insulator can be viewed as two copies of quantum anomalous Hall (QAH) insulator with opposite local magnetic moments. However, nearly every QSH insulator discovered so far is a nonmagnetic…

Materials Science · Physics 2020-01-22 Qian Sui , Jiaxin Zhang , Suhua Jin , Yunyouyou Xia , Gang Li

Doping a topological insulator (TI) film with transition metal ions can break its time-reversal symmetry and lead to the realization of the quantum anomalous Hall (QAH) effect. Prior studies have shown that the longitudinal resistance of…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Shu-Wei Wang , Di Xiao , Ziwei Dou , Moda Cao , Yi-Fan Zhao , Nitin Samarth , Cui-Zu Chang , Malcolm R. Connolly , Charles G. Smith

Magneto-transport measurements in a wide GaAs quantum well in which we can tune the Fermi energy ($E_F$) to lie in different Landau levels of the two occupied electric subbands reveal a remarkable pattern for the appearance and…

Strongly Correlated Electrons · Physics 2012-03-06 Yang Liu , Javad Shabani , Mansour Shayegan