Topological Insulator in the Core of the Superconducting Vortex in Graphene

Igor F. Herbut
Phys. Rev. Lett. 104, 066404 – Published 10 February 2010

Abstract

The core of the vortex in a general superconducting order parameter in graphene is argued to be ordered, with the possible local order parameters forming the algebra U(1)×Cl(3). 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.

  • Received 29 September 2009

DOI:https://doi.org/10.1103/PhysRevLett.104.066404

©2010 American Physical Society

Authors & Affiliations

Igor F. Herbut

  • Department of Physics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6

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Issue

Vol. 104, Iss. 6 — 12 February 2010

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