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The quantum spin Hall effect has been observed in topological insulators using spin-orbit coupling as the probe, but it has not yet been observed in a metal. An experiment is proposed to measure the quantum spin Hall effect of an electron…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Aiying Zhao , Qiang Gu , Timothy J. Haugan , Thomas J. Bullard , Richard A. Klemm

It is shown that the presence of matrix dipole moments induced by external electric fields can modify the Hall response in two dimensional Topological insulators. In the case of the Quantum Anomalous Hall effect the induced transverse…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Alberto Cortijo

We consider intrinsic contributions to the spin Hall and spin Nernst effects in a bilayer graphene. The relevant electronic spectrum is obtained from the tight binding Hamiltonian, which also includes the intrinsic spin-orbit interaction.…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 A. Dyrdal , J. Barnas

We study the topological magnetoelectric effect on a conical topological insulator when a point charge $q$ is near the cone apex. The Hall current induced on the cone surface and the image charge configuration are determined. We also study…

Strongly Correlated Electrons · Physics 2012-09-13 Jakson M. Fonseca , Winder A. Moura-Melo , Afranio R. Pereira

In this work, we predict a hinged quantum spin-Hall (HQSH) effect featured by a pair of helical hinge modes in antiferromagnetic (AFM) topological insulator (TI) multilayers. This pair of helical hinge modes are localized on the hinges of…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Yue-Ran Ding , Dong-Hui Xu , Chui-Zhen Chen , X. C. Xie

A semimagnetic topological insulator -- a heterostructure combining a topological insulator with a ferromagnet -- exhibits a half-quantized Hall effect, characterized by a quantized Hall conductance of $\frac{1}{2}\frac{e^{2}}{h}$ (where…

Disordered Systems and Neural Networks · Physics 2025-10-30 Shi-Hao Bi , Bo Fu , Shun-Qing Shen

We derive diffusion equations, which describe spin-charge coupled transport on the helical metal surface of a three-dimensional topological insulator. The main feature of these equations is a large magnitude of the spin-charge coupling,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , D. G. Hawthorn

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,…

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

We study theoretically the two-dimensional topological electric state in a single band semiconductor with strong spin-orbit interactions under harmonic scalar electrostatic potentials. The electronic states described by the spin Landau…

Mesoscale and Nanoscale Physics · Physics 2013-09-25 Tetsuro Habe , Yasuhiro Asano

We propose to engineer time-reversal-invariant topological insulators in two-dimensional (2D) crystals of transition metal dichalcogenides (TMDCs). We note that, at low doping, semiconducting TMDCs under shear strain will develop…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 M. A. Cazalilla , H. Ochoa , F. Guinea

We study the quantum Hall effect in the surface states of topological insulator in the presence of a perpendicular magnetic field in the framework of edge states. Motion of Dirac fermions will form descrete Landau levels, among which a…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Shun-Qing Shen

In a topological insulator (TI) the character of electron transport varies from insulating in the interior of the material to metallic near its surface. Unlike, however, ordinary metals, conducting surface states in TIs are topologically…

Mesoscale and Nanoscale Physics · Physics 2013-02-08 G. Tkachov , E. M. Hankiewicz

The two-dimensional topological insulators (2DTI) host a full gap in the bulk band, induced by spin-orbit coupling (SOC) effect, together with the topologically protected gapless edge states. However, the SOC-induced gap is usually small,…

In this work, we study the disorder effect on topological metals that support a pair of helical edge modes deeply embedded inside the gapless bulk states. Strikingly, we predict that a quantum spin Hall (QSH) phase can be obtained from such…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Chui-Zhen Chen , Hua Jiang , Dong-Hui Xu , X. C. Xie

The study of topological property of band insulators is an interesting branch of condensed matter physics. Two types of topologically nontrivial insulators have been extensively studied. The first type is characterized by a nonzero TKNN…

Materials Science · Physics 2011-11-15 Yi-Dong Wu

We formulate the tight-binding model for cubic $\alpha$-Sn based on the DFT calculations. In the model, we incorporate a variable bond angle, which allows us to simulate the effect of the in-plane strain. In the bulk, we demonstrate the…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Jan Skolimowski , Nguyen Minh Nguyen , Giuseppe Cuono , Carmine Autieri , Wojciech Brzezicki

Three-dimensional topological insulators are a class of Dirac materials, wherein strong spin-orbit coupling leads to two-dimensional surface states. The latter feature spin-momentum locking, i.e., each momentum vector is associated with a…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Paul Seifert , Kristina Vaklinova , Sergey Ganichev , Klaus Kern , Marko Burghard , Alexander W. Holleitner

We report a new class of large-gap quantum spin Hall insulators in two-dimensional transition metal dichalcogenides, namely, MX$_2$ with M=(Mo, W) and X=(S, Se, and Te), whose topological electronic properties are highly tunable by external…

Mesoscale and Nanoscale Physics · Physics 2014-12-16 Xiaofeng Qian , Junwei Liu , Liang Fu , Ju Li

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…