# Tomonaga–Luttinger liquid in the edge channels of a quantum spin Hall insulator

@article{Sthler2019TomonagaLuttingerLI, title={Tomonaga–Luttinger liquid in the edge channels of a quantum spin Hall insulator}, author={Raul St{\"u}hler and F. Reis and T. M{\"u}ller and Tobias Helbig and Tilman Schwemmer and Ronny Thomale and J{\"o}rg Sch{\"a}fer and Ralph Claessen}, journal={Nature Physics}, year={2019}, volume={16}, pages={47-51} }

Quantum spin Hall insulators are two-dimensional materials that host conducting helical electron states strictly confined to the one-dimensional boundaries. These edge channels are protected by time-reversal symmetry against single-particle backscattering, opening new avenues for spin-based electronics and computation. However, the effect of the interelectronic Coulomb repulsion also has to be taken into account, as two-particle scattering is not impeded by topological protection and may…

## 66 Citations

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## References

SHOWING 1-10 OF 38 REFERENCES

### Luttinger liquid physics and spin-flip scattering on helical edges

- Physics
- 2012

We investigate electronic correlation effects on edge states of quantum spin-Hall insulators within the Kane-Mele-Hubbard model by means of quantum Monte Carlo simulations. Given the U(1) spin…

### 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.

### Bismuthene on a SiC substrate: A candidate for a high-temperature quantum spin Hall material

- PhysicsScience
- 2017

The combined theoretical and experimental results demonstrate a concept for a quantum spin Hall wide-gap scenario, where the chemical potential resides in the global system gap, ensuring robust edge conductance.

### Quantum spin Hall state in monolayer 1T'-WTe2

- Physics
- 2017

A combination of photoemission and scanning tunnelling spectroscopy measurements provide compelling evidence that single layers of 1T'-WTe2 are a class of quantum spin Hall insulator. A quantum spin…

### Observation of a Helical Luttinger Liquid in InAs/GaSb Quantum Spin Hall Edges.

- PhysicsPhysical review letters
- 2015

Realization of a tunable Luttinger liquid offers a one-dimensional model system for future studies of predicted correlation effects and underscores the strong electron-electron interaction effect in transport of InAs/GaSb edge states.

### Luttinger-liquid behaviour in carbon nanotubes

- PhysicsNature
- 1999

Electron transport in conductors is usually well described by Fermi-liquid theory, which assumes that the energy states of the electrons near the Fermi level EF are not qualitatively altered by…

### Theoretical paradigm for the quantum spin Hall effect at high temperatures

- PhysicsPhysical Review B
- 2018

The quantum spin Hall effect (QSHE) has formed the seed for contemporary research on topological quantum states of matter. Since its discovery in HgTe/CdTe quantum wells and InAs/GaSb…

### Probing Spin-Charge Separation in a Tomonaga-Luttinger Liquid

- PhysicsScience
- 2009

An electrostatically gated 1D system is fabricated in which the spin-charge separation persists even beyond the low-energy regime where the TLL approximation should hold and also the predicted power-law suppression of tunneling into the1D system.

### 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.

### Critical Behavior of a Point Contact in a Quantum Spin Hall Insulator

- Physics
- 2009

We study a quantum point contact in a quantum spin Hall insulator. It has recently been shown that the Luttinger liquid theory of such a structure maps to the theory of a weak link in a Luttinger…