Pairing mechanism of unconventional superconductivity in doped Kane-Mele model

Abstract

We study the pairing symmetry of a doped Kane-Mele model on a honeycomb lattice with on-site Coulomb interaction. The pairing instability of Cooper pair is calculated based on the linearized Eliashberg equation within the random phase approximation (RPA). When the magnitude of the spin-orbit coupling is weak, even-frequency spin-singlet even-parity (ESE) pairing is dominant. On the other hand, with the increase of the spin-orbit coupling, we show that the even-frequency spin-triplet odd-parity (ETO) f-wave pairing exceeds ESE one. ETO f-wave pairing is supported by the longitudinal spin fluctuation. Since the transverse spin fluctuation is strongly suppressed by spin-orbit coupling, ETO f-wave pairing becomes dominant for large magnitude of spin-orbit coupling.

20 pages, 13 figures

References in corpus (15)

• Electric Field Effect in Atomically Thin Carbon Films
• Unconventional Fermi surface instabilities in the Kagome Hubbard Model
• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Theory of the proximity effect in junctions with unconventional superconductors
• Density waves and Cooper pairing on the honeycomb lattice
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Possible Topological Superconducting Phases of MoS${}_2$
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Crossed surface flat bands of Weyl semimetal superconductors
• Ferromagnetic fluctuation and possible triplet superconductivity in Na_xCoO_2*yH_2O: Fluctuation-exchange study of multi-orbital Hubbard model
• Possible pairing symmetries in SrPtAs with a local lack of inversion center
• Triplet superconducting pairing and density-wave instabilities in organic conductors
• Superconductivity in doped Dirac semimetals
• Possible Pairing Symmetry of Superconductor Na_xCoO_2yH_2O
• s-wave Superconductivity due to Suhl-Kondo Mechanism in Na${}_x$CoO${}_2\cdot y$H${}_2$O: Effect of Coulomb Interaction and Trigonal Distortion

Cited by in corpus (8)

• Magnetic field-induced "mirage" gap in an Ising superconductor
• Evolution of Pair Correlation Symmetries and Supercurrent Reversal in Tilted Weyl Semimetals
• Exact solutions in two-dimensional topological superconductors: Hubbard interaction induced spontaneous symmetry breaking
• Multiple odd-parity superconducting phases in bilayer transition metal dichalcogenides
• Bond-ordered states and $f$-wave pairing of spinless fermions on the honeycomb lattice
• Ising and XY paramagnons in two-dimensional 2H-NbSe${}_2$
• Boundary obstructed topological superconductor in buckled honeycomb lattice under perpendicular electric field
• Mixing of odd- and even-frequency pairings in strongly correlated electron systems under magnetic field