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Quantum Spin Hall (QSH) insulators represent a quintessential example of a topological phase of matter, characterized by a conducting edge mode within a bulk energy gap. The pursuit of a tunable QSH state stands as a pivotal objective in…

Quantum spin Hall (QSH) insulators are materials with nontrivial topological properties, characterized by helical edge currents. In 2D strips, the application of a bias voltage along the edge generates a magnetization that can be measured…

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

Two-dimensional (2D) topological insulators (TIs), also known as quantum spin Hall (QSH) insulators, are excellent candidates for coherent spin transport related applications because the edge states of 2D TIs are robust against nonmagnetic…

Materials Science · Physics 2023-07-19 Wei Luo , Hongjun Xiang

The Quantum Spin Hall insulator is characterized by the presence of gapless helical edge states where the spin of the charge carriers is locked to their direction of motion. In order to probe the properties of the edge modes, we propose a…

Strongly Correlated Electrons · Physics 2013-01-14 Roni Ilan , Jérôme Cayssol , Jens H. Bardarson , Joel E. Moore

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

The stability to interactions and disorder of the quantum spin Hall effect (QSHE) proposed for time-reversal-invariant 2D systems is discussed. The QSHE requires an energy gap in the bulk and gapless edge modes that conduct spin-up and…

Mesoscale and Nanoscale Physics · Physics 2011-03-29 Cenke Xu , J. E. Moore

Nanowires with helical surface states represent key prerequisites for observing and exploiting phase-coherent topological conductance phenomena, such as spin-momentum locked quantum transport or topological superconductivity. We demonstrate…

We address the problem of magnetic-field-induced corner states in quantum spin Hall insulators (QSHIs) beyond the particle-hole-symmetric limit. Starting from a realistic low-energy model for zinc-blende semiconductor quantum wells (QWs),…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Sergey S. Krishtopenko , Frédéric Teppe

Spin orbit coupling changes graphene, in principle, into a two-dimensional topological insulator, also known as quantum spin Hall insulator. One of the expected consequences is the existence of spin-filtered edge states that carry…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 D. Gosálbez-Martínez , D. Soriano , J. J. Palacios , J. Fernández-Rossier

We present the theory of a new type of topological quantum order which is driven by the spin-orbit density wave order parameter, and distinguished by $Z_2$ topological invariant. We show that when two oppositely polarized chiral bands…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Gaurav Kumar Gupta , Tanmoy Das

Topological insulators insulate in the bulk but exhibit robust conducting edge states protected by the topology of the bulk material. Here, we design a colloidal topological insulator and demonstrate experimentally the occurrence of edge…

Quantum spin Hall (QSH) insulator with large gap is highly desirable for potential spintronics application. Here we realize electrically tunable QSH insulator with large gap in van der Waals heterobilayer of monolayer transition metal…

Mesoscale and Nanoscale Physics · Physics 2019-09-05 Qizhong Zhu , Qingjun Tong , Huazheng Sun , Yong Wang , Wang Yao

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

We study the phase diagram of the inverted InAs/GaSb bilayer quantum wells. For small tunneling amplitude between the layers, we find that the system is prone to formation of an s-wave exciton condensate phase, where the spin-structure of…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 D. I. Pikulin , T. Hyart

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

Two-dimensional quantum spin Hall (QSH) insulators with reasonably wide band gaps are imperative for the development of various innovative technologies. Through systematic density functional calculations and tight-binding simulations, we…

Materials Science · Physics 2018-10-12 Hui Wang , S. T. Pi , J. Kim , Z. Wang , H. H. Fu , R. Q. Wu

The gapless edge modes of the Quantum Spin Hall insulator form a helical liquid in which the direction of motion along the edge is determined by the spin orientation of the electrons. In order to probe the Luttinger liquid physics of these…

Mesoscale and Nanoscale Physics · Physics 2014-04-14 Romain Vasseur , Joel E. Moore

Of the available classes of insulators which have been shown to contain topologically non-trivial properties one of the most important is class AII, which contains systems that possess time-reversal symmetry $T$ with $T^2=-1.$ This class…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Matthew J. Gilbert , B. Andrei Bernevig , Taylor L. Hughes

The discovery that spin-orbit coupling can generate a new state of matter in the form of quantum spin-Hall (QSH) insulators has brought topology to the forefront of condensed matter physics. While QSH states from spin-orbit coupling can be…

Strongly Correlated Electrons · Physics 2019-06-18 Yuhai Liu , Zhenjiu Wang , Toshihiro Sato , Martin Hohenadler , Chong Wang , Wenan Guo , Fakher F. Assaad