Quantum phase transitions in the Kane-Mele-Hubbard model
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.
Cite
@article{arxiv.1111.3949,
title = {Quantum phase transitions in the Kane-Mele-Hubbard model},
author = {M. Hohenadler and Z. Y. Meng and T. C. Lang and S. Wessel and A. Muramatsu and F. F. Assaad},
journal= {arXiv preprint arXiv:1111.3949},
year = {2012}
}
Comments
13 pages, 10 figures; final version; new Figs. 4(b) and 8(b)