Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study

被引:228
作者
Hohenadler, M. [1 ]
Lang, T. C. [1 ]
Assaad, F. F. [1 ]
机构
[1] Univ Wurzburg, Inst Theoret Phys & Astrophys, D-97074 Wurzburg, Germany
关键词
D O I
10.1103/PhysRevLett.106.100403
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 of the helical Luttinger liquid by retaining the Hubbard interaction only on a ribbon edge. The Hubbard interaction greatly suppresses charge currents along the edge and promotes edge magnetism but leaves the single-particle signatures of the helical liquid intact.
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页数:4
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