Topological insulator in the core of the superconducting vortex in graphene
Abstract
The core of the vortex in a general superconducting order parameter in graphene is argued to be ordered, with the possible order parameters forming the algebra U(1) X Cl(3), where Cl(3) is the three dimensional Clifford algebra. A sufficiently strong Zeeman coupling of the magnetic field of the vortex to the electron spin breaks the degeneracy in the core in favor of the anomalous quantum Hall state. I consider a variety of superconducting condensates on the honeycomb lattice and demonstrate the surprising universality of this result. A way to experimentally determine the outcome of the possible competition between different types of orders in the core is proposed.
Keywords
Cite
@article{arxiv.0909.4231,
title = {Topological insulator in the core of the superconducting vortex in graphene},
author = {Igor F. Herbut},
journal= {arXiv preprint arXiv:0909.4231},
year = {2010}
}
Comments
Four revtex pages. New discussion on competition between core orders, extension to finite-T added, typos corrected, new references, streamlined presentation. Published version