# Correlation effects in quantum spin-Hall insulators: a quantum Monte Carlo study.

@article{Hohenadler2011CorrelationEI, title={Correlation effects in quantum spin-Hall insulators: a quantum Monte Carlo study.}, author={Martin Hohenadler and Thomas C. Lang and Fakher F. Assaad}, journal={Physical review letters}, year={2011}, volume={106 10}, pages={ 100403 } }

We consider the Kane-Mele model supplemented by a Hubbard U term. The phase diagram is mapped out using projective auxiliary field quantum Monte Carlo simulations. The quantum spin liquid of the Hubbard model is robust against weak spin-orbit interaction, and is not adiabatically connected to the spin-Hall insulating state. Beyond a critical value of U>U(c) both states are unstable toward magnetic ordering. In the quantum spin-Hall state we study the spin, charge, and single-particle dynamics…

## 111 Citations

### 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…

### Topological Invariant and Quantum Spin Models from MagneticπFluxes in Correlated Topological Insulators

- Physics
- 2013

The adiabatic insertion of a \pi flux into a quantum spin Hall insulator gives rise to localized spin and charge fluxon states. We demonstrate that \pi fluxes can be used in exact quantum Monte Carlo…

### Topological invariants in interacting quantum spin Hall: a cluster perturbation theory approach

- Physics
- 2015

Using cluster perturbation theory we calculate Green's functions, quasi-particle energies and topological invariants for interacting electrons on a 2D honeycomb lattice, with intrinsic spin–orbit…

### Correlation effects in quadrupole insulators: A quantum Monte Carlo study

- Physics
- 2020

The quadrupole insulator, a higher-order topological insulator, with on-site Hubbard interaction is numerically studied by large-scale projector quantum Monte Carlo simulations. The Green's function…

### THE CHARACTERIZATION OF TOPOLOGICAL PROPERTIES IN QUANTUM MONTE CARLO SIMULATIONS OF THE KANE–MELE–HUBBARD MODEL

- Physics
- 2013

Topological insulators present a bulk gap, but allow for dissipationless spin transport along the edges. These exotic states are characterized by the Z2 topological invariant and are protected by…

### Fermionic quantum criticality in honeycomb and π -flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo

- Physics
- 2015

We numerically investigate the critical behavior of the Hubbard model on the honeycomb and the $\pi$-flux lattice, which exhibits a direct transition from a Dirac semimetal to an…

### Magnetic impurities in the Kane-Mele model

- Physics
- 2013

The realization of the spin-Hall effect in quantum wells has led to a plethora of studies regarding the properties of the edge states of a 2D topological insulator. These edge states constitute a…

### First- and second-order metal-insulator phase transitions and topological aspects of a Hubbard-Rashba system

- Physics
- 2017

This paper considers a model consisting of a kinetic term, Rashba spin-orbit coupling and short-range Coulomb interaction at zero-temperature. The Coulomb interaction is decoupled by a mean-field…

### Quantum cluster approach to the spinful Haldane-Hubbard model

- Physics
- 2016

We study the spinful fermionic Haldane-Hubbard model at half-filling using a combination of quantum cluster methods: cluster perturbation theory, the variational cluster approximation, and cluster…

### Quantum Monte Carlo studies of a metallic spin-density wave transition

- Physics
- 2017

Plenty experimental evidence indicates that quantum critical phenomena give rise to much of the rich physics observed in strongly correlated itinerant electron systems such as the high temperature…

## References

SHOWING 1-10 OF 34 REFERENCES

### Phys

- Rev. Lett. 95, 226801
- 2005

### Phys

- Rev. B 82, 075106
- 2010

### Phys. Rev. B

- Phys. Rev. B
- 2010

### Phys

- Rev. Lett. 104, 106408
- 2010

### Rev. Mod. Phys

- Rev. Mod. Phys
- 2010

### Transitions between trivial and topological band insulators can only occur via a metallic state

### Phys

- Rev. B 73, 045322
- 2006

### Nat. Phys

- Nat. Phys
- 2010

### Phys. Rev. B Phys. Rev. B

- Phys. Rev. B Phys. Rev. B
- 2007