d-wave superconductivity on the honeycomb bilayer
arXiv:1202.3375 · doi:10.1103/PhysRevB.86.214505
Abstract
We introduce a microscopic model on the honeycomb bilayer, which in the small-momentum limit captures the usual (quadratic dispersion in kinetic term) description of bilayer graphene. In the limit of 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 + id 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 - ik_y)^2] in both valleys of the effective low-energy description. The relevance of our model and investigation for the physics of bilayer graphene is also discussed.
10 pages, published version
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Cited by in corpus (13)
- Chiral d-wave superconductivity in doped graphene
- Superconductivity from weak repulsion in hexagonal lattice systems
- Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
- Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
- Strain Enhanced Superconductivity in Li-Doped Graphene
- Superconductivity on the brink of spin-charge order in doped honeycomb bilayer
- Excitonic and superconducting orders from repulsive interaction on the doped honeycomb bilayer
- Topological Superconductivity in Two Dimensions with Mixed Chirality
- Phase diagram of the Kohn-Luttinger superconducting state for bilayer graphene
- Andreev reflection in 2D relativistic materials with realistic tunneling transparency in normal-metal-superconductor junctions
- Anomalous superconductivity and superfluidity in repulsive fermion systems
- Entanglement spectra of superconductivity ground states on the honeycomb lattice
- Possible Electric-Field-Induced Superconducting States in Doped Silicene