Wednesday, February 22, 2012

1202.4511 (Qiu-Hong Huo et al.)

Non-Abelian vortices in the emergent gauge theory of the Hubbard model    [PDF]

Qiu-Hong Huo, Yunguo Jiang, Ru-Zhi Wang, Hui Yan
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.
View original: http://arxiv.org/abs/1202.4511

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