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The spin degree of freedom is crucial for both understanding and exploiting the particular properties of the edges of two-dimensional topological insulators. In the absence of superconductivity and magnetism, Rashba coupling is the most…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Lorenzo Privitera , Niccolò Traverso Ziani , Inès Safi , Björn Trauzettel

We study a one-dimensional helical system with random Rashba spin-orbit coupling. Using renor- malization group methods, we derive a consistent set of flow equations governing the important con- trol parameters of the backscattering…

Mesoscale and Nanoscale Physics · Physics 2014-07-10 Florian Geissler , Francois Crépin , Björn Trauzettel

Transport by helical edge states of a quantum spin Hall insulator is experimentally characterized by a weakly temperature-dependent mean free path of a few microns and by reproducible conductance oscillations, challenging proposed…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Lukas Kimme , Bernd Rosenow , Arne Brataas

We evaluate the low-temperature conductance of a weakly interacting one-dimensional helical liquid without axial spin symmetry. The lack of that symmetry allows for inelastic backscattering of a single electron, accompanied by…

Mesoscale and Nanoscale Physics · Physics 2012-05-07 Thomas L. Schmidt , Stephan Rachel , Felix von Oppen , Leonid I. Glazman

A single pair of helical edge states as realized at the boundary of a quantum spin Hall insulator is known to be robust against elastic single particle backscattering as long as time reversal symmetry is preserved. However, there is no…

Mesoscale and Nanoscale Physics · Physics 2012-03-16 Jan Carl Budich , Fabrizio Dolcini , Patrik Recher , Björn Trauzettel

We show that that the non-equilibrium spin polarization of one dimensional helical edge states at the boundary of a two dimensional topological insulator can dynamically induce a polarization of nuclei via the hyperfine interaction. When…

Mesoscale and Nanoscale Physics · Physics 2013-05-03 Adrian Del Maestro , Timo Hyart , Bernd Rosenow

Electrons with spin-orbit coupling moving in mesoscopic structures can often exhibit local spin polarization. In this paper, we study the influence of the Rashba coupling on the scattering of two-dimensional electrons from a circular disk.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jr-Yu Yeh , Chung-Yu Mou , Ming-Che Chang

The Rashba effect as an electrically tunable spin-orbit interaction is the base for a multitude of possible applications such as spin filters, spin transistors, and quantum computing using Majorana states in nanowires. Moreover, this…

Mesoscale and Nanoscale Physics · Physics 2016-10-13 Jan Raphael Bindel , Mike Pezzotta , Jascha Ulrich , Marcus Liebmann , Eugene Sherman , Markus Morgenstern

We demonstrate that electrostatic interactions between helical electrons at the edge of a quantum spin Hall insulator and a dynamical impurity can induce quasi-elastic backscattering. Modelling the impurity as a two-level system, we show…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Max McGinley , Nigel R. Cooper

The combination of Rashba spin-orbit coupling and potential disorder induces a random current operator for the edge states of a 2D topological insulator. We prove that charge transport through such an edge is ballistic at any temperature,…

Mesoscale and Nanoscale Physics · Physics 2016-02-26 Hong-Yi Xie , Heqiu Li , Yang-Zhi Chou , Matthew S. Foster

We study backscattering of electrons and conductance suppression in a helical edge channel in two-dimensional topological insulators with broken axial spin symmetry in the presence of nonmagnetic point defects that create bound states. In…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Vladimir A. Sablikov , Aleksei A. Sukhanov

We study strongly correlated helical liquids with and without Rashba coupling using quantum Monte Carlo simulations of the Kane-Mele model with a Hubbard interaction at the edge. Independent of the Rashba coupling, we find that interactions…

Strongly Correlated Electrons · Physics 2014-12-31 Martin Hohenadler , Fakher F. Assaad

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

We present the generalization of the two-dimensional quantum scattering formalism to systems with Rashba spin-orbit coupling. Using symmetry considerations, we show that the differential scattering cross section depends on the spin state of…

Mesoscale and Nanoscale Physics · Physics 2007-07-26 Andras Palyi , Jozsef Cserti

We present both theory and numerical-computation results for the transmission and reflection probability currents of a charged particle across a potential step in the presence of a Rashba spin-orbit interaction. By varying kinetic energy…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Po-Hsin Shih , Godfrey Gumbs , Danhong Huang , Andrii Iurov , Yonatan Abranyos

The effects of Rashba interaction and electromagnetic field on the edge states of a two-dimensional topological insulator are investigated in a non-perturbative way. We show that the electron dynamics is equivalent to a problem of massless…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Fabrizio Dolcini

We study potential scattering in a two-dimensional electron gas with Rashba spin-orbit coupling in the limit that the energy of the scattering electron approaches the bottom of the lower spin-split band. Focusing on two spin-independent…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Joel Hutchinson , Joseph Maciejko

Spin-Hall effect in ballistic 2D electron gas with Rashba-type spin-orbit coupling and smooth edge confinement is studied. We predict that the interplay of semiclassical electron motion and quantum dynamics of spins leads to several…

Mesoscale and Nanoscale Physics · Physics 2009-05-15 P. G. Silvestrov , V. A. Zyuzin , E. G. Mishchenko

We study transport properties of the helical edge channels of a quantum spin Hall (QSH) insulator, in the presence of electron-electron interactions and weak, local Rashba spin-orbit coupling. The combination of the two allows for inelastic…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Florian Geissler , François Crépin , Björn Trauzettel

We consider the superconducting proximity effect in a helical Luttinger liquid at the edge of a 2D topological insulator, and derive the low-energy Hamiltonian for an edge state tunnel-coupled to a s-wave superconductor. In addition to…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 Pauli Virtanen , Patrik Recher
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