# Chiral d-wave superconductivity in doped graphene.

@article{BlackSchaffer2014ChiralDS,
title={Chiral d-wave superconductivity in doped graphene.},
author={Annica M. Black‐Schaffer and Carsten Honerkamp},
journal={Journal of physics. Condensed matter : an Institute of Physics journal},
year={2014},
volume={26 42},
pages={
423201
}
}
• Published 31 May 2014
• Physics, Medicine
• Journal of physics. Condensed matter : an Institute of Physics journal
A highly unconventional superconducting state with a spin-singlet dx2-y2+/-idxy-wave, or chiral d-wave symmetry has recently been suggested to emerge from electron-electron interactions in doped graphene. It has been argued that graphene doped to the van Hove singularity at 1/4 doping, where the density of states diverge, is particularly likely to be a chiral d-wave superconductor. In this review we summarize the currently mounting theoretical evidence for the existence of a chiral d-wave… Expand

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#### References

SHOWING 1-10 OF 399 REFERENCES
Chiral d-wave superconducting state in the core of a doubly quantized s-wave vortex in graphene
We show that the intrinsic chiral (d(x2-y2) +/- id(xy))-wave superconducting pairing in doped graphene is significantly strengthened in the core region of a doubly quantized s-wave superconductingExpand
Edge properties and Majorana fermions in the proposed chiral d-wave superconducting state of doped graphene.
Two chiral edge modes which carry a spontaneous, but not quantized, quasiparticle current related to the zero-energy momentum are found. Expand
Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
• Physics
• 2014
We study superconductivity on the honeycomb lattice close to the Mott state at half filling. Due to the sixfold lattice symmetry and disjoint Fermi surfaces at opposite momenta, we show that severalExpand
Interplay of superconductivity and spin-density-wave order in doped graphene
• Physics, Materials Science
• 2012
We study the interplay between superconductivity and spin density wave order in graphene doped to 3/8 or 5/8 filling (a Van Hove doping). At this doping level, the system is known to exhibit weakExpand
Defects in the (d+id)-wave superconducting state in heavily doped graphene
• Physics
• 2014
A chiral time-reversal symmetry breaking d+id-wave superconducting state is likely to emerge in graphene doped close to the Van Hove singularity. As heavy doping procedures are expected to introduceExpand
Correlated Dirac particles and superconductivity on the honeycomb lattice
• Physics
• 2013
We investigate the properties of the nearest-neighbor singlet pairing and the emergence of d-wave superconductivity in the doped honeycomb lattice considering the limit of large interactions and theExpand
Resonating Valence Bonds and Mean-Field d-Wave Superconductivity in Graphite
• Physics
• 2007
We investigate the possibility of inducing superconductivity in a graphite layer by electronic correlation effects. We use a phenomenological microscopic Hamiltonian which includes nearest neighborExpand
Chiral d -wave superconductivity in SrPtAs
Recent muon spin-rotation ($\ensuremath{\mu}$SR) measurements on SrPtAs revealed time-reversal-symmetry breaking with the onset of superconductivity [Biswas et al., Phys. Rev. B 87, 180503(R)Expand
Excitonic and superconducting orders from repulsive interaction on the doped honeycomb bilayer
• Physics
• 2014
Using a weak-coupling renormalization group formalism, we study competing ordered phases for repulsively interacting fermions on the bilayer honeycomb lattice away from half-filling, which isExpand
d-wave superconductivity on the honeycomb bilayer
• Physics
• 2012
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 ofExpand