Cooper Pairing in A Doped 2D Antiferromagnet with Spin-Orbit Coupling

Abstract

We study the two-dimensional Hubbard model with the Rashba type spin-orbit coupling within and beyond the mean-field theory. The antiferromagnetic ground state for the model at half-filling and the Cooper pairing induced by antiferromagnetic spin fluctuations near half-filling are examined based on the random-phase approximation. We show that the antiferromagnetic order is suppressed and the magnetic susceptibility turns out to be anisotropic in the presence of the spin-orbit coupling. Energy spectrums of transverse spin fluctuations are obtained and the effective interactions between holes mediated by antiferromagnetic spin fluctuations are deduced in the case of low hole doping. It seems that the spin-orbit coupling tends to form s+p-wave Cooper pairs, while the s+d-wave pairing is dominant when the spin-orbit coupling is absent.

9 pages, 10 figures

References in corpus (15)

• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• Spin density wave anomaly at 140 K in the ternary iron arsenide BaFe2As2
• First-order magnetic and structural phase transitions in Fe${}_{1+y}$Se${}_x$Te${}_{1-x}$
• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• Dynamic generation of spin orbit coupling
• Ternary iron selenide K${}_{0.8}$Fe${}_{1.6}$Se${}_2$ is an antiferromagnetic semiconductor
• Superconductivity and Magnetism in Non-centrosymmetric System: Application to CePt_3Si
• Possible pairing symmetries in SrPtAs with a local lack of inversion center
• Superconducting pairing mediated by spin-fluctuations from first principles
• Microscopic coexistence of antiferromagnetic order and superconductivity in Ba${}_{0.77}$K${}_{0.23}$Fe${}_2$As${}_2$
• Enhanced triplet superconductivity in noncentrosymmetric systems
• Microscopic Mechanism and Pairing Symmetry of Superconductivity in the Noncentrosymmetric Heavy Fermion Systems CeRhSI${}_3$ and CeIrSi${}_3$
• Anisotropy of magnetic interactions and symmetry of the order parameter in unconventional superconductor Sr${}_2$RuO${}_4$
• Microscopic coexistence of superconductivity and antiferromagnetism in underdoped Ba(Fe1-xRux)2As2
• Superconducting pairing symmetry on the extended Hubbard model in the presence of the Rashba-type spin-orbit coupling