Chiral d-wave superconductivity in doped graphene.

  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},
  volume={26 42},
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… 
Strain-induced superconducting pair density wave states in graphene
Graphene is known to be non-superconducting. However, surprising superconductivity is recently discovered in a flat-band in a twisted bi-layer graphene. Here we show that superconductivity can be
Antiferromagnetism and chiral d -wave superconductivity from an effective t−J−D model for twisted bilayer graphene
Starting from the strong-coupling limit of an extended Hubbard model, we develop a spin-fermion theory to study the insulating phase and pairing symmetry of the superconducting phase in twisted
Helical Majorana fermions in dx2-y2 + idxy-wave topological superconductivity of doped correlated quantum spin Hall insulators
A novel mechanism for realizing Majorana fermions in 2D spin-singlet topological superconducting state induced by doping a correlated quantum spin Hall (Kane-Mele) insulator is proposed.
Unconventional Superconductivity in Systems with Annular Fermi Surfaces: Application to Rhombohedral Trilayer Graphene.
It is shown that in a two-dimensional electron gas with an annular Fermi surface, long-range Coulomb interactions can lead to unconventional superconductivity by the Kohn-Luttinger mechanism, which naturally explains some of the outstanding puzzles in this material, that include the weak temperature dependence of the resistivity above T_{c}, and the proximity of spin singletsuperconductivity to the ferromagnetic phase.
Subgap states in two-dimensional spectroscopy of graphene-based superconducting hybrid junctions
Several recent works have predicted that unconventional and topological superconductivity can arise in graphene, either intrinsically or by proximity effect. Then, the analysis of the spectroscopic
Loop currents from nonunitary chiral superconductivity on the honeycomb lattice
We study a tight-binding model of chiral d-wave superconductivity on the honeycomb lattice. The nearest-neighbor pairing ensures a nontrivial sublattice structure and nonunitarity of the
Nematic superconductivity in magic-angle twisted bilayer graphene from atomistic modeling
Bilayer graphene with small internal twist angles develops large scale moiré patterns with flat energy bands hosting both correlated insulating states and superconductivity. The large system size and
Anomalous superconductivity and superfluidity in repulsive fermion systems
We discuss the mechanisms of unconventional superconductivity and superfluidity in 3D and 2D fermionic systems with purely repulsive interaction at low densities. We construct phase diagrams of these
Loop Currents and Anomalous Hall Effect from Time-Reversal Symmetry-Breaking Superconductivity on the Honeycomb Lattice
We study a tight-binding model on the honeycomb lattice of chiral $d$-wave superconductivity that breaks time-reversal symmetry. Due to its nontrivial sublattice structure, we show that it is
Inter-valley coherent order and isospin fluctuation mediated superconductivity in rhombohedral trilayer graphene
Superconductivity was recently discovered in rhombohedral trilayer graphene (RTG) in the absence of a moiré potential. Superconductivity is observed proximate to a metallic state with reduced isospin


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 superconducting
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.
Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
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 several
Interplay of superconductivity and spin-density-wave order in doped graphene
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 weak
Defects in the (d+id)-wave superconducting state in heavily doped graphene
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 introduce
Correlated Dirac particles and superconductivity on the honeycomb lattice
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 the
Resonating Valence Bonds and Mean-Field d-Wave Superconductivity in Graphite
We investigate the possibility of inducing superconductivity in a graphite layer by electronic correlation effects. We use a phenomenological microscopic Hamiltonian which includes nearest neighbor
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)
Excitonic and superconducting orders from repulsive interaction on the doped honeycomb bilayer
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 is
d-wave superconductivity on the honeycomb bilayer
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