# Nonequilibrium transport through a gate-controlled barrier on the quantum spin Hall edge.

@article{Ilan2012NonequilibriumTT, title={Nonequilibrium transport through a gate-controlled barrier on the quantum spin Hall edge.}, author={Roni Ilan and J Cayssol and Jens Hjorleifur Bardarson and Joel E. Moore}, journal={Physical review letters}, year={2012}, volume={109 21}, pages={ 216602 } }

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 design of a tunable quantum impurity realized by a local gate under an external magnetic field. Using the integrability of the impurity model, the conductance is computed for arbitrary interactions, temperatures and voltages, including the effect of Fermi…

## 11 Citations

Proposal for the detection and braiding of Majorana fermions in a quantum spin Hall insulator

- Physics
- 2013

We show how a quantum dot with a ballistic single-channel point contact to a superconductor can be created by means of a gate electrode at the edge of a quantum spin Hall insulator (such as an…

Spin Berry phase in a helical edge state:
Sz
nonconservation and transport signatures

- Physics
- 2020

Topological protection of edge state in quantum spin Hall systems relies only on time-reversal symmetry. Hence, ${S}_{z}$ conservation on the edge can be relaxed which can have an interferometric…

All-electric spin modulator based on a two-dimensional topological insulator

- Physics
- 2016

We propose and investigate a spin modulator device consisting of two ferromagnetic leads connected by a two-dimensional topological insulator as the channel material. It exploits the unique features…

Spatially Resolved Study of Backscattering in the Quantum Spin Hall State

- Physics
- 2012

The discovery of the Quantum Spin Hall state, and topological insulators in general, has sparked strong experimental efforts. Transport studies of the Quantum Spin Hall state confirmed the presence…

Spin textures of strongly correlated spin Hall quantum dots

- Physics
- 2013

We study the spin ordering of a quantum dot defined via magnetic barriers in an interacting quantum spin Hall edge. The spin‐resolved density–density correlation functions are computed. We show that…

Testing topological protection of edge states in hexagonal quantum spin Hall candidate materials

- PhysicsPhysical Review B
- 2018

We analyze the detailed structure of topological edge mode protection occurring in hexagonal quantum spin Hall (QSH) materials. We focus on bismuthene, antimonene, and arsenene on a SiC substrate,…

Jackiw-Rebbi zero modes in non-uniform topological insulator nanowire

- PhysicsPhysical Review B
- 2019

We theoretically investigate the emergence of Jackiw-Rebbi zero modes and their conductance signature in non-uniform topological insulator nano-wires. We modelled the non-uniform nano-wires as…

The nonequilibrium dynamics of quantum integrable models

- Physics
- 2013

OF THE DISSERTATION The nonequilibrium dynamics of quantum integrable models by Deepak Iyer Dissertation Director: Professor Natan Andrei The primary goals of this dissertaion are to describe and…

Imaging gate-tunable Tomonaga–Luttinger liquids in 1H-MoSe2 mirror twin boundaries

- PhysicsNature Materials
- 2022

One-dimensional electron systems exhibit fundamentally different properties than higher-dimensional systems. For example, electron–electron interactions in one-dimensional electron systems have been…

Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators

- Physics
- 2017

The electrons in the edge channels of two-dimensional topological insulators can be described as a helical Tomonaga-Luttinger liquid. They couple to nuclear spins embedded in the host materials…