Near-Zero Modes in Superconducting Graphene

Details Near-Zero Modes in Superconducting Graphene Near-Zero Modes in Superconducting Graphene

2007-09-17

arxiv.org/abs/0709.2626v2

Phys. Scr. T 146 (2012) 014019

Physics

Condensed Matter

Superconductivity

9 pages, to appear in Proceedings of the Nobel Symposium on Graphene and Quantum Matter

Scientific paper

Vortices in the simplest superconducting state of graphene contain very low energy excitations, whose existence is connected to an index theorem that applies strictly to an approximate form of the relevant Bogoliubov-deGennes equations. When Zeeman interactions are taken into account, the zero modes required by the index theorem are (slightly) displaced. Thus the vortices acquire internal structure, that plausibly supports interesting dynamical phenomena.

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