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arXiv · 1202.4511

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

Qiu-Hong Huo·Yunguo Jiang·Ru-Zhi Wang·Hui Yan
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Abstract

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.

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Qiu-Hong Huo, Yunguo Jiang, Ru-Zhi Wang, Hui Yan. 2012-03-05. Non-Abelian vortices in the emergent U(2) gauge theory of the Hubbard model. https://doi.org/10.1209/0295-5075%2F101%2F27001

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