Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing

被引:383
作者
Sun, Kai [1 ]
Yao, Hong [2 ]
Fradkin, Eduardo [1 ]
Kivelson, Steven A. [2 ]
机构
[1] Univ Illinois, Dept Phys, Urbana, IL 61801 USA
[2] Stanford Univ, Dept Phys, Stanford, CA 94305 USA
基金
美国国家科学基金会;
关键词
HGTE QUANTUM-WELLS; SUPERCONDUCTORS; LATTICE;
D O I
10.1103/PhysRevLett.103.046811
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the stability of a quadratic band-crossing point (QBCP) in 2D fermionic systems. At the noninteracting level, we show that a QBCP exists and is topologically stable for a Berry flux +/- 2 pi if the point symmetry group has either fourfold or sixfold rotational symmetries. This putative topologically stable free-fermion QBCP is marginally unstable to arbitrarily weak short-range repulsive interactions. We consider both spinless and spin-1/2 fermions. Four possible ordered states result: a quantum anomalous Hall phase, a quantum spin Hall phase, a nematic phase, and a nematic-spin-nematic phase.
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页数:4
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