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Related papers: Corner Junction as a Probe of Helical Edge States

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In the paper we dscuss experimental results of M. Grayson et al. on tunneling $I$-$V$ characteristics of the quantum Hall edge. We suggest a two step tunneling mechanism involving localized electron states near the edge, which might account…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Alekseev , V. Cheianov , A. P. Dmitriev , V. Yu. Kachorovskii

Helical edge states exist in the mixed spin-singlet and spin-triplet phase of a noncentrosymmetric (NCS) superconductor. In this article we have considered a planar ferromagnetic metal/NCS superconductor tunnel junction and have studied the…

Superconductivity · Physics 2011-04-27 Soumya Prasad Mukherjee

We examine the effects of electron-electron interactions on transport between edge states in a multilayer integer quantum Hall system. The edge states of such a system, coupled by interlayer tunneling, form a two-dimensional, chiral metal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

Topology in condensed matter physics manifests itself in the emergence of edge or surface states protected by underlying symmetries. We review two-dimensional topological insulators whose one-dimensional edge states are characterized by…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt

The helical edge states of time-reversal invariant two-dimensional topological insulators are protected against backscattering in idealized models. In more realistic scenarios with a shallow confining potential at the sample boundary,…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Niels John , Adrian Del Maestro , Bernd Rosenow

A quantum Hall line junction system consists of a one-dimensional Luttinger liquid (LL) and two chiral channels that allow density waves incident upon and reflected by the LL to be measured separately. We demonstrate that interactions in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Wei-Cheng Lee , N. A. Sinitsyn , Emiliano Papa , A. H. MacDonald

Understanding topological matter in the fractional quantum Hall (FQH) effect requires identifying the nature of edge state quasiparticles. FQH edge state at the filling factor $\nu=2/3$ in the spin-polarized and non-polarized phases is…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Vadim Ponomarenko , Yuli Lyanda-Geller

We show that two-terminal transport can measure the Luttinger liquid (LL) parameter $K$, in helical LLs at the edges of two dimensional topological insulators (TIs) with Rashba spin-orbit coupling. We consider a Coulomb drag geometry with…

Mesoscale and Nanoscale Physics · Physics 2015-10-30 Yang-Zhi Chou , Alex Levchenko , Matthew S. Foster

We study the DC spin current induced into an unbiased quantum spin Hall system through a two-point contacts setup with time dependent electron tunneling amplitudes. By means of two external gates, it is possible to drive a current with…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Dario Ferraro , Giacomo Dolcetto , Roberta Citro , Francesco Romeo , Maura Sassetti

We study the effect of electron-electron interaction on the charge and spin structures at the edge of integer quantum Hall liquids, under three different kinds of confining potentials. Our exact diagonalization calculation for small systems…

Strongly Correlated Electrons · Physics 2015-06-12 Yuhui Zhang , Kun Yang

We theoretically investigate the Coulomb drag between the edge states of two quantum spin Hall systems. Using an interacting theory of the one-dimensional helical edge modes, we show that the drag vanishes at second order in the inter-edge…

Strongly Correlated Electrons · Physics 2010-09-29 Vladimir A. Zyuzin , Gregory A. Fiete

Using a new MBE growth technique, we fabricate a two-dimensional electron system which is bent around an atomically sharp 90 degree corner. In the quantum Hall regime under tilted magnetic fields, we can measure equilibration between both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Grayson , D. Schuh , M. Bichler , G. Abstreiter , L. Hoeppel , J. Smet , K. von Klitzing

Non-equilibrium transport properties of charge and spin sector of two edges of a quantum spin Hall insulator are investigated theoretically in a four-terminal configuration. A simple duality relation between charge and spin sector is found…

Strongly Correlated Electrons · Physics 2015-05-19 Chao-Xing Liu , Jan Carl Budich , Patrik Recher , Bjoern Trauzettel

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

We have studied a clean finite-length line junction between interacting counterpropagating single-branch fractional-quantum-Hall edge channels. Exact solutions for low-lying excitations and transport properties are obtained when the two…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. Zuelicke , E. Shimshoni

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

The physics of a junction composed of a normal metal, quantum dot and 2D topological insulator (in a quantum spin Hall state) is elucidated. It maifests a subtle combination of Kondo correlations and quantum spin Hall edge states moving on…

Strongly Correlated Electrons · Physics 2013-05-30 Igor Kuzmenko , Anatoly Golub , Yshai Avishai

Since the prediction of a new topological state of matter in graphene, materials acting as topological insulators have attracted wide attention. Shortly after the theoretical proposal for a mercury telluride (HgTe)-based two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Viktor Krueckl , Klaus Richter

The information content of one-electron bulk and edge states in semiconductor quantum wells is calculated in the inverted regime, where edge states, topologically protected, are responsible for the conduction in Spin Quantum Hall effect…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Natalia Giovenale , Omar Osenda

The edge states of a quantum spin Hall insulator exhibit helical properties, which has generated significant interest in the field of spintronics. Although it is predicted theoretically that Rashba spin-orbit coupling can effectively…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 Wei Luo , Yating Zhang , Wei Chen