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Quantum Simulation

Quantum phase transitions in the Kane-Mele-Hubbard model

arXiv
Authors: M. Hohenadler, Z. Y. Meng, T. C. Lang, S. Wessel, A. Muramatsu, F. F. Assaad

Year

2011

Paper ID

29694

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

We study the two-dimensional Kane-Mele-Hubbard model at half filling by means of quantum Monte Carlo simulations. We present a refined phase boundary for the quantum spin liquid. The topological insulator at finite Hubbard interaction strength is adiabatically connected to the groundstate of the Kane-Mele model. In the presence of spin-orbit coupling, magnetic order at large Hubbard U is restricted to the transverse direction. The transition from the topological band insulator to the antiferromagnetic Mott insulator is in the universality class of the three-dimensional XY model. The numerical data suggest that the spin liquid to topological insulator and spin liquid to Mott insulator transitions are both continuous.

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  • We study the two-dimensional Kane-Mele-Hubbard model at half filling by means of quantum Monte Carlo simulations.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1111.3949 [2] arXiv https://arxiv.org/abs/1111.3949 [3] Publisher https://arxiv.org/abs/1111.3949

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