Mean field analysis of a model for superconductivity in an antiferromagnetic background

Abstract

We study a lattice fermion model for superconductivity in the presence of an antiferromagnetic background, described as a fixed external staggered magnetic field. We discuss the possibility that our model provides an effective description of coexistence of antiferromagnetic correlations and superconductivity, and its possible application to high temperature superconductivity. We also argue that, under certain conditions, this model describes a variant of the periodic Anderson model for heavy fermions. Using a path integral formulation we construct mean field equations, which we study in some detail. We evaluate the superconducting critical temperature and show that it is strongly enhanced by antiferromagnetic order. We also evaluate the superconducting gap, the superconducting density of states, and the tunneling conductivity, and show that the most stable channel usually has a $d_{x^2-y^2}$-wave gap.

26 pages, 9 ps figures included via epsf. Published version

References in corpus (7)

• Antiferromagnetic and van Hove Scenarios for the Cuprates: Taking the Best of Both Worlds
• NMR and Neutron Scattering Experiments on the Cuprate Superconductors: A Critical Re-Examination
• A Possible Phononic Mechanism for $d_{x^2-y^2}$-Superconductivity in the Presence of Short-Range AF Correlations
• Hole Doping Evolution of the Quasiparticle Band in Models of Strongly Correlated Electrons for the High-T_c Cuprates
• Staggered Superconductivity in UPt${}_3$: A New Phenomenological Approach
• Mean field approach to antiferromagnetic domains in the doped Hubbard model
• Superconductivity in the Cuprates as a Consequence of Antiferromagnetism and a Large Hole Density of States

Cited by in corpus (2)

• Pairing and Density Correlations of Stripe Electrons in a Two-Dimensional Antiferromagnet
• Update of Hartree--Fock theory for Hubbard-like models