Observation of Yu–Shiba–Rusinov States in Superconducting Graphene

Superconducting states of pure and doped graphene.

We study the superconducting phases of the two-dimensional honeycomb lattice of graphene. We find two spin singlet pairing states; s wave and an exotic p+ip that is possible because of the special structure of the honeycomb lattice. At half filling, the p+ip phase is gapless and superconductivity is a hidden order. We discuss the possibility of a superconducting state in metal coated graphene.

Observation of unconventional edge states in 'photonic graphene'.

Graphene, a two-dimensional honeycomb lattice of carbon atoms, has been attracting much interest in recent years. Electrons therein behave as massless relativistic particles, giving rise to strikingly unconventional phenomena. Graphene edge states are essential for understanding the electronic properties of this material. However, the coarse or impure nature of the graphene edges hampers the ab...

Andreev conductance in the d+ id!-wave superconducting states of graphene

Yongjin Jiang,1,2 Dao-Xin Yao,2 Erica W. Carlson,2 Han-Dong Chen,3 and JiangPing Hu2 1Department of Physics, ZheJiang Normal University, Jinhua, Zhejiang 321004, People’s Republic of China 2Department of Physics, Purdue University, West Lafayette, Indiana 47907, USA 3Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA !Received 21 February 2008; revise...

Andreev conductance in the d plus id(')-wave superconducting states of graphene

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-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 struc...