Volume 101, Number 2, February 2013
|Number of page(s)||5|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||24 January 2013|
Non-Abelian vortices in the emergent U(2) gauge theory of the Hubbard model
1 Laboratory of Thin Film Materials, College of Materials Science and Engineering, Beijing University of Technology 100124 Beijing, China
2 Institute of High Energy Physics, Chinese Academy of Sciences - 100049 Beijing, China
3 Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences - 100049 Beijing, China
Received: 14 August 2012
Accepted: 3 January 2013
By the spin-fermion formula, the Hubbard model on the honeycomb lattice is represented by a U(2) gauge theory using 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 the k-winding vortex. 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 is in the semi-metal phase with a spin gap and in the insulator phase with a Néel order, and can be mapped to the superconductor in the class A and CI, respectively.
PACS: 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 64.60.-i – General studies of phase transitions
© EPLA, 2013
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