# Interacting topological edge channels

@article{Strunz2019InteractingTE, title={Interacting topological edge channels}, author={Jonas Strunz and Jonas Wiedenmann and Christoph Fleckenstein and Lukas Lunczer and Wouter Beugeling and Valentin L M{\"u}ller and Pragya Shekhar and Niccol{\`o} Traverso Ziani and Saquib Shamim and Johannes Kleinlein and Hartmut Buhmann and Bjorn Trauzettel and Laurens W. Molenkamp}, journal={Nature Physics}, year={2019}, volume={16}, pages={83-88} }

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers behave as massless relativistic particles whose spin and momentum are coupled to each other. Although the helical character of those states is already established by experiments, there is an open question regarding how those edge states interact with each other when they are brought into close spatial proximity. We employ an inverted HgTe quantum well to guide edge channels from…

## 43 Citations

### Coherent spin transport through helical edge states of topological insulator

- Physicsnpj Computational Materials
- 2020

We study coherent spin transport through helical edge states of topological insulator tunnel-coupled to metallic leads. We demonstrate that unpolarized incoming electron beam acquires finite…

### Conductance of quantum spin Hall edge states from first principles: The critical role of magnetic impurities and inter-edge scattering

- PhysicsPhysical Review B
- 2020

The outstanding transport properties expected at the edge of two-dimensional time-reversal invariant topological insulators have proven to be challenging to realize experimentally, and have so far…

### Quantized spin Hall conductance in a magnetically doped two dimensional topological insulator

- Physics, Materials ScienceNature communications
- 2021

The successful experimental demonstration of a quantized spin Hall resistance in HgTe quantum wells dilutely alloyed with magnetic Mn atoms is reported, laying the foundation for future investigations of magnetically doped quantum spin Hall materials towards the realization of chiral Majorana fermions.

### 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…

### Confinement versus interface bound states in spin-orbit coupled nanowires

- PhysicsThe European Physical Journal Plus
- 2020

Semiconductor nanowires with strong Rashba spin-orbit coupling are currently on the spotlight of several research fields such as spintronics, topological materials and quantum computation. While most…

### Charge Oscillations in Quantum Spin Hall Constrictions

- Physicsphysica status solidi (RRL) – Rapid Research Letters
- 2021

Constrictions between 1D helical edge states represent a useful tool for the realization of devices based on topological materials. Indeed, they complement superconductivity and magnetic barriers as…

### Interference effects induced by a precessing easy-plane magnet coupled to a helical edge state

- Physics
- 2020

The interaction of a magnetic insulator with the helical electronic edge of a two-dimensional topological insulator has been shown to lead to many interesting phenomena. One of these is that for a…

### Emergent quantum Hall effects below 50 mT in a two-dimensional topological insulator

- PhysicsScience Advances
- 2020

Two different emergent quantum Hall effects in (Hg,Mn)Te quantum wells are reported, which rely critically on the topological band structure of HgTe, and their occurrence at very low fields makes them an ideal candidate for realizing chiral Majorana fermions.

### Effective lifting of the topological protection of quantum spin Hall edge states by edge coupling

- PhysicsNature communications
- 2022

The scientific interest in two-dimensional topological insulators (2D TIs) is currently shifting from a more fundamental perspective to the exploration and design of novel functionalities. Key…

### Backscattering off a driven Rashba impurity at the helical edge

- Physics
- 2020

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…

## References

SHOWING 1-10 OF 76 REFERENCES

### 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…

### Microscopic origin of the ‘0.7-anomaly’ in quantum point contacts

- PhysicsNature
- 2013

A smeared van Hove singularity in the local density of states at the bottom of the lowest one-dimensional subband of the point contact causes an anomalous enhancement in the Hartree potential barrier, the magnetic spin susceptibility and the inelastic scattering rate.

### Electron–electron interaction effects in quantum point contacts

- Physics
- 2009

We consider electron–electron interaction effects in quantum point contacts on the first quantization plateau, taking into account all scattering processes. We compute the low-temperature linear and…

### Noise and current correlations in tunnel junctions of quantum spin Hall edge states

- Physics
- 2015

The edge channels of two-dimensional topological systems are protected from elastic reflection and are noiseless at low temperature. Yet, noise and cross correlations can be induced when electron…

### Generic helical edge states due to Rashba spin-orbit coupling in a topological insulator

- Physics
- 2016

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…

### Conductance oscillations in quantum point contacts of InAs/GaSb heterostructures

- Physics, Materials Science
- 2016

We study quantum point contacts in two-dimensional topological insulators by means of quantum transport simulations for InAs/GaSb heterostructures and HgTe/(Hg,Cd)Te quantum wells. In InAs/GaSb, the…

### Observation of the quantum spin Hall effect up to 100 kelvin in a monolayer crystal

- PhysicsScience
- 2018

The QSHE is established in monolayer tungsten ditelluride (WTe2) at temperatures much higher than in semiconductor heterostructures and allow for exploring topological phases in atomically thin crystals.

### Quantum Spin Hall Insulator State in HgTe Quantum Wells

- PhysicsScience
- 2007

The quantum phase transition at the critical thickness, d = 6.3 nanometers, was independently determined from the magnetic field–induced insulator-to-metal transition, providing experimental evidence of the quantum spin Hall effect.

### Robust helical edge transport in quantum spin Hall quantum wells

- PhysicsPhysical Review B
- 2018

We show that edge-state transport in semiconductor-based quantum spin Hall systems is unexpectedly robust to magnetic fields. The origin for this robustness lies in an intrinsic suppression of the…

### Charge-spin duality in nonequilibrium transport of helical liquids

- Physics
- 2011

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…