Quantum phase transitions in the Kane-Mele-Hubbard model

Details Quantum phase transitions in the Kane-Mele-Hubbard model Quantum phase transitions in the Kane-Mele-Hubbard model

2011-11-16

arxiv.org/abs/1111.3949v2

Phys. Rev. B 85, 115132 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, 10 figures; final version; new Figs. 4(b) and 8(b)

Scientific paper

10.1103/PhysRevB.85.115132

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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