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arXiv 1202.4511cond-mat.supr-con
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哈伯德模型涌现U(2)规范理论中的非阿贝尔涡旋

Non-Abelian vortices in the emergent U(2) gauge theory of the Hubbard model

Qiu-Hong Huo, Yunguo Jiang, Ru-Zhi Wang, Hui Yan

摘要:

利用自旋-费米子公式,在平均场方法中用U(2)规范理论表示蜂窝格点上的哈伯德模型,并在此基础上构造了非阿贝尔涡旋解.量子化条件表明,磁通量量子是半整数。对于$k$缠绕涡,存在$2k$玻色子零模。对于费米子,有2个零能态(ZES)对应于单个基元涡旋。在涡旋核和涡旋边缘,系统分别处于半金属相和绝缘体相,分别具有自旋能隙和Néel有序相,分别可以映射为A类和CI类超导体。

英文摘要:

By the spin-fermion formula, the Hubbard model on the honeycomb lattice is represented by a U(2) gauge theory in the mean field method, non-Abelian vortex solutions are constructed based on this theory. The quantization condition shows that the magnetic flux quanta are half-integer. There are $2k$ bosonic zero modes for $k$ winding vortices. For the fermions, there are 2 zero energy states (ZESs) corresponding to the single elementary vortex. In the vortex core and on the edge, the system are in the semi-metal phase with a spin gap and in the insulator phase with Néel order phase, and can be mapped to the superconductor in class A and CI, respectively.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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