Effective pairing theory for strongly correlated d-wave superconductors

Abstract

Motivated by recent proposals of correlation induced insensitivity of d-wave superconductors to impurities, we develop a simple pairing theory for these systems for up to a moderate strength of disorder. Our description implements the key ideas of Anderson, originally proposed for disordered s-wave superconductors, but in addition takes care of the inherent strong electronic repulsion in these compounds, as well as disorder induced inhomogeneities. We first obtain the self-consistent one-particle states, that capture the effects of disorder exactly, and strong correlations using Gutzwiller approximation. These `normal states', representing the interplay of strong correlations and disorder, when coupled through pairing attractions following the path of Bardeen-Cooper-Schrieffer (BCS), produce results nearly identical to those from a more sophisticated Gutzwiller augmented Bogoliubov-de Gennes analysis.

10 pages, 7 figures

References in corpus (17)

• Theory of Intertwined Orders in High Temperature Superconductors
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Pairing Symmetry in a Two-Orbital Exchange Coupling Model of Oxypnictides
• Imaging the impact on cuprate superconductivity of varying the inter-atomic distances within individual crystal unit-cells
• Competition between spin density wave order and superconductivity in the underdoped cuprates
• Disorder-Induced Static Antiferromagnetism in Cuprate Superconductors
• Interpretation of scanning tunneling quasiparticle interference and impurity states in cuprates
• Inhomogeneity-induced enhancement of the pairing interaction in cuprates
• Disorder-Induced Stabilization of the Pseudogap in Strongly Correlated Systems
• Unconventional disorder effects in correlated superconductors
• Breakdown of universal transport in correlated d-wave superconductors
• Effective SU(2) theory for the pseudogap state
• Extended Gutzwiller Approximation for Inhomogeneous System
• Insensitivity of superconductivity to disorder in the cuprates
• Interplay Between $d$-wave Superconductivity and a Bond Density Wave in the one-band Hubbard model
• From immunity to sudden death: Effects of strong disorder in strongly correlated superconductors
• Superconductivity from Doublon Condensation in the Ionic Hubbard Model