| The vortex in any O(2) order parameter on graphene's honeycomb lattice is known to produce zero-energy states. I will discus how these rather special states in the middle of the spectrum induce local order in the core of the vortex. The local order parameters in general close the algebra Cl(3)x U(1), where Cl(3) is the three dimensional Clifford algebra, with the members of this algebra depending on the type of order supporting the vortex. The superconducting order will be discussed in some detail, and the curious duality between the topological insulation and the superconductivity in graphene will be pointed out. |
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