Theoretical study of d-wave superconductivity in doped bilayer graphene

Details Theoretical study of d-wave superconductivity in doped bilayer graphene Theoretical study of d-wave superconductivity in doped bilayer graphene

2012-02-15

arxiv.org/abs/1202.3375v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages

Scientific paper

We introduce a microscopic model on the honeycomb bilayer, which in the small-momentum limit captures the usual description of bilayer graphene. Due to assumed strong interlayer hopping it reduces to an effective honeycomb monolayer model with also third neighbor hopping. We study interaction effects in this effective model focusing on possible superconducting instabilities. We find $d_{x^2-y^2}$ superconductivity in the strong coupling limit of an effective $tJ$-model-like description that gradually transforms into $d + i d$ time reversal symmetry breaking superconductivity at weak couplings. In this limit the small momentum order parameter expansion is $(k_x + i k_y)^2$ (or $(k_x - i k_y)^2$) at both points (valleys) of effective, low-energy description. The relevance of our model and investigation for the physics of bilayer graphene is also discussed.

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