Triplet $p_z$-wave pairing in quasi one dimensional A${}_2$Cr${}_3$As${}_3$ superconductors

Abstract

We construct minimum effective models to investigate the pairing symmetry in the newly discovered quasi-one-dimensional superconductor K${}_2$Cr${}_3$As${}_3$. We show that a minimum three-band model based on the $d_{z^2}$, $d_{xy}$ and $d_{x^2-y^2}$ orbitals of one Cr sublattice can capture the band structures near Fermi surfaces. In both weak and strong coupling limits, the standard random phase approximation (RPA) and mean-field solutions consistently yield the triplet $p_z$-wave pairing as the leading pairing symmetry for physically realistic parameters. The triplet pairing is driven by the ferromagnetic fluctuations within the sublattice. The gap function of the pairing state possesses line gap nodes on the $k_z=0$ plane on the Fermi surfaces.

10 pages plus two appendix, 12 figures; Published version by Phys. Rev. B

References in corpus (14)

• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Near-degeneracy of several pairing channels in multiorbital models for the Fe-pnictides
• Superconductivity in the vicinity of antiferromagnetic order in CrAs
• Superconductivity in quasi-one-dimensional K${}_2$Cr${}_3$As${}_3$ with significant electron correlations
• d-wave pairing from spin fluctuations in the KxFe{2-y}Se2 superconductors
• Unconventional superconductivity in quasi-one-dimensional Rb${}_2$Cr${}_3$As${}_3$
• Superconductivity in quasi-one-dimensional Cs2Cr3As3 with large interchain distance
• Superconductivity of 2.2 K under Pressure in Helimagnet CrAs
• Pairing symmetry in a two-orbital Hubbard model on a square lattice
• NMR Investigation of the Quasi One-dimensional Superconductor K${}_2$Cr${}_3$As${}_3$
• Possible Triplet $p+ip$ Superconductivity in Graphene at Low Filling
• Magnetism in Quasi-One-Dimensional A${}_2$Cr${}_3$As${}_3$ (A=K,Rb) superconductors
• Detection of an Unconventional Superconducting Phase in the Vicinity of the Strong First-Order Magnetic Transition in CrAs Using ^75As-Nuclear Quadrupole Resonance
• Time-reversal-invariant topological superconductivity in n-doped BiH

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