Topological insulator in the core of the superconducting vortex in graphene

Details Topological insulator in the core of the superconducting vortex in graphene Topological insulator in the core of the superconducting vortex in graphene

2009-09-23

arxiv.org/abs/0909.4231v2

Physical Review Letters, vol. 104, 066404 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Four revtex pages. New discussion on competition between core orders, extension to finite-T added, typos corrected, new refere

Scientific paper

10.1103/PhysRevLett.104.066404

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.

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