Quantum phase transitions in the Kane-Mele-Hubbard model
Quantum phase transitions in the Kane-Mele-Hubbard model
复制标题
DOI：
10.1103/physrevb.85.115132
复制
发表时间：
2012-03-29
影响因子：
3.7
通讯作者：
Assaad, F. F.
中科院分区：
文献类型：
--
作者：
Hohenadler, M.;Meng, Z. Y.;Assaad, F. F.
我们通过量子蒙特卡罗模拟研究了半填充时的二维 Kane-Mele-Hubbard 模型。我们提出了量子自旋液体的精细相界。有限哈伯德相互作用强度下的拓扑绝缘体与凯恩-梅勒模型的基态绝热连接。在存在自旋轨道耦合的情况下，大哈伯德 U 处的磁序仅限于横向。从拓扑带绝缘体到反铁磁莫特绝缘体的转变属于三维 XY 模型的普适类。数值数据表明自旋液体到拓扑绝缘体和自旋液体到莫特绝缘体的转变都是连续的。
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.