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

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

2012-02-21

arxiv.org/abs/1202.4511v2

Physics

Condensed Matter

Superconductivity

4pages, 2tables

Scientific paper

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 N\'eel order phase, and can be mapped to the superconductor in class A and CI, respectively.

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