Near-zero modes in superconducting graphene

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–de Gennes equations. When Zeeman interactions are taken into account, the zero modes...

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Bibliographic Details
Main Authors: Ghaemi, Pouyan, Wilczek, Frank
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:en_US
Published: IOP Publishing 2013
Online Access:http://hdl.handle.net/1721.1/78606
https://orcid.org/0000-0002-6489-6155
Description
Summary: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–de Gennes 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, which plausibly supports interesting dynamical phenomena.