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Since the experimental realisation of the integer quantised Hall effect in a two dimensional electron system subject to strong perpendicular magnetic fields in 1980, a central question has been the interrelation between the conductance…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 E. M. Kendirlik , S. Sirt , S. B. Kalkan , N. Ofek , V. Umansky , A. Siddiki

The quantum spin Hall (QSH) state is a genuinely new state of matter characterized by a non-trivial topology of its band structure. Its key feature is conducting edge channels whose spin polarization has potential for spintronic and quantum…

Quantum spin-Hall edges are envisaged as next-generation transistors, yet they exhibit dissipationless transport only over short distances. Here we show that in a diffusive sample, where charge puddles with odd spin cause back-scattering, a…

Mesoscale and Nanoscale Physics · Physics 2021-08-24 Zhanning Wang , Pankaj Bhalla , Mark Edmonds , Michael S. Fuhrer , Dimitrie Culcer

Intrinsic and extrinsic spin Hall effects are considered together on an equal theoretical footing for the Rashba spin-orbit coupling in two-dimensional (2D) electron and hole systems, using the diagrammatic method for calculating the spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Wang-Kong Tse , S. Das Sarma

Quantum spin Hall insulators (QSHIs) based on HgTe and three-layer InAs/GaSb quantum wells (QWs) have comparable bulk band-gaps of about 10--18~meV. The former however features a band-gap vanishing with temperature, while the gap in…

Quantum spin Hall insulators, recently realized in HgTe/(Hg,Cd)Te quantum wells, support topologically protected, linearly dispersing edge states with spin-momentum locking. A local magnetic exchange field can open a gap for the edge…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Carsten Timm

We study the linear response spin Hall conductivity of a two-dimensional electron gas (2DEG) in the presence of the Rashba spin orbit interaction in the diffusive transport regime. When defect scattering is modeled by isotropic short-range…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jun-ichiro Inoue , Gerrit E. W. Bauer , Laurens W. Molenkamp

The combination of the time-reversal-symmetric single-particle backscattering field (commonly known as Rashba spin-orbit coupling) and non-backscattering electron interactions is generally expected to produce inelastic backscattering in 1D…

Strongly Correlated Electrons · Physics 2017-11-01 Maxim Kharitonov , Florian Geissler , Björn Trauzettel

The quantum spin Hall (QSH) phase is a time reversal invariant electronic state with a bulk electronic band gap that supports the transport of charge and spin in gapless edge states. We show that this phase is associated with a novel $Z_2$…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. L. Kane , E. J. Mele

Charge transport in topological insulators is primarily characterised by so-called topologically projected helical edge states, where charge carriers are correlated in spin and momentum. In principle, dissipation-less current can be carried…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Jesse A. Vaitkus , Cong Son Ho , Jared H. Cole

A strong coupling between the electron spin and its motion is one of the prerequisites of spin-based data storage and electronics. A major obstacle is to find spin-orbit coupled materials where the electron spin can be probed and…

Mesoscale and Nanoscale Physics · Physics 2015-12-11 Christoph Kastl , Paul Seifert , Xiaoyue He , Kehui Wu , Yongqing Li , Alexander Holleitner

Magneto-transport properties of a two-dimensional electron gas in a chain of planar quantum rings are investigated under the Rashba spin-orbit interaction and a transverse homogeneous magnetic field. A modulation potential function models…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Armen Harutyunyan

We show evidence of the backscattering of quantum Hall edge channels in a narrow graphene Hall bar, induced by the gating effect of the conducting tip of a Scanning Gate Microscope, which we can position with nanometer precision. We show…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 Lennart Bours , Stefano Guiducci , Alina Mreńca-Kolasińska , Bartłomiej Szafran , Jan C Maan , Stefan Heun

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

We study the helical edge states of a two-dimensional topological insulator without axial spin symmetry due to the Rashba spin-orbit interaction. Lack of axial spin symmetry can lead to so-called generic helical edge states, which have…

Mesoscale and Nanoscale Physics · Physics 2016-05-27 Laura Ortiz , Rafael A. Molina , Gloria Platero , Anders Mathias Lunde

Scanning gate microscopy is used to locally investigate electron transport in a high-mobility two-dimensional electron gas formed in a GaAs/AlGaAs heterostructure. Using quantum point contacts (QPC) we observe branches caused by electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 A. A. Kozikov , C. Rössler , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

The nature of a metal-insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions, as reported in recent experiments of Roddaro et al [1], is examined. We attribute this phenomenon to a splitting of…

Strongly Correlated Electrons · Physics 2009-11-11 Emiliano Papa , Tilo Stroh

We study the electronic properties of the confined honeycomb lattice in the presence of the intrinsic spin-orbit (ISO) interaction and perpendicular magnetic field, and report on uncommon aspects of the quantum spin Hall conductance…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 B. Ostahie , M. Nita , A. Aldea

The one-dimensional effective Hamiltonian for a planar curvilinear quantum wire with arbitrary shape is proposed in the presence of the Rashba spin-orbit interaction. Single electron propagation through a device of two straight lines…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Erhu Zhang , Shengli Zhang , Qi Wang

We study the effect of electron-phonon interactions on the electrical conductance of a helical edge state of a two-dimensional topological insulator. We show that the edge deformation caused by bulk acoustic phonons modifies the spin…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Solofo Groenendijk , Giacomo Dolcetto , Thomas L. Schmidt
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