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We study the effect of localized magnetic moments on the conductance of a helical edge. Interaction with a local moment is an effective backscattering mechanism for the edge electrons. We evaluate the resulting differential conductance as a…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Jukka I. Väyrynen , Florian Geissler , Leonid I. Glazman

We consider the effects of electron scattering off a quantum magnetic impurity on the current-voltage characteristics of the helical edge of a two-dimensional topological insulator. We compute the backscattering contribution to the current…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 P. D. Kurilovich , V. D. Kurilovich , I. S. Burmistrov , M. Goldstein

We study the influence of electron puddles created by doping of a 2D topological insulator on its helical edge conductance. A single puddle is modeled by a quantum dot tunnel-coupled to the helical edge. It may lead to significant inelastic…

Mesoscale and Nanoscale Physics · Physics 2013-10-25 Jukka I. Väyrynen , Moshe Goldstein , Leonid I. Glazman

We study the surface of a three-dimensional spin chiral $\mathrm{Z}_2$ topological insulator (class CII), demonstrating the possibility of its localization. This arises through an interplay of interaction and statistically-symmetric…

Strongly Correlated Electrons · Physics 2019-04-17 Yang-Zhi Chou , Rahul M. Nandkishore , Leo Radzihovsky

We consider a mesoscopic {\it ballistic} structure with Rashba spin-orbit splitting of the electron spectrum. The ballistic region is attached to the leads with a voltage applied between them. We calculate the edge spin density which…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Alexander Khaetskii , Eugene Sukhorukov

Topological insulator (TI) surface states exert strong spin-orbit torques. When the magnetization is in the plane its interaction with the TI conduction electrons is non-trivial, and is influenced by extrinsic spin-orbit scattering. This is…

Mesoscale and Nanoscale Physics · Physics 2024-06-17 Mohsen Farokhnezhad , James H. Cullen , Dimitrie Culcer

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

The low energy sector of 2D and 3D topological insulators (TIs) exhibits propagating edge states, which has speculated the existence of equilibrium edge currents or edge spin currents. We demonstrate that if the low energy sector of TIs is…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Wei Chen

We study an interacting composite $(1+1/n)$ Abelian helical edge state made of a regular helical liquid carrying charge $e$ and a (fractionalized) helical liquid carrying charge $e/n$. A systematic framework is developed for these composite…

Strongly Correlated Electrons · Physics 2024-10-10 Yang-Zhi Chou , Sankar Das Sarma

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…

The helical edge states in a quantum spin Hall insulator are presumably protected by time- reversal symmetry. However, even in the presence of magnetic field which breaks time-reversal symmetry, the helical edge conduction can still exist,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Hsiu-Chuan Hsu , Min-Jyun Jhang , Tsung-Wei Chen , Guang-Yu Guo

Motivated by experimental reports on chirality induced spin selectivity, we investigate a minimal model that allows us to calculate the charge and spin conductances through helical molecules analytically. The spin-orbit interaction is…

Mesoscale and Nanoscale Physics · Physics 2024-08-29 Richard Korytár , Jan M. van Ruitenbeek , Ferdinand Evers

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

Topological spin liquids are robust quantum states of matter with long-range entanglement and possess many exotic properties such as the fractional statistics of the elementary excitations. Yet these states, short of local parameters like…

Strongly Correlated Electrons · Physics 2017-08-28 Yan-Cheng Wang , Chen Fang , Meng Cheng , Yang Qi , Zi Yang Meng

We report electrical measurements of the current-induced spin polarization of the surface current in topological insulator devices where contributions from bulk and surface conduction can be disen- tangled by electrical gating. The devices…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Joon Sue Lee , Anthony Richardella , Danielle Reifsnyder Hickey , K. Andre Mkhoyan , Nitin Samarth

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

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 investigate the influence of nuclear spins on the resistance of helical edge states of two-dimensional topological insulators (2DTIs). Via the hyperfine interaction, nuclear spins allow electron backscattering, otherwise forbidden by…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Chen-Hsuan Hsu , Peter Stano , Jelena Klinovaja , Daniel Loss

The excitation of high-frequency short-wavelength spin waves is a challenge limiting the application of these propagating magnetization disturbances in information processing systems. We propose a method of local excitation of the…

Mesoscale and Nanoscale Physics · Physics 2021-06-22 Pawel Gruszecki , Igor L. Lyubchanskii , Konstantin Y. Guslienko , Maciej Krawczyk

Topological states of matter are robust quantum phases, characterised by propagating or localised edge states in an insulating bulk. Topological boundary states can be triggered by various mechanisms, for example by strong spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 S. E. Freeney , J. J. van den Broeke , A. J. J. Harsveld van der Veen , I. Swart , C. Morais Smith
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