Nearly antiferromagnetic Fermi liquids: An analytic Eliashberg approach

Journal Article · Mon Jun 01 00:00:00 EDT 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.45.13047· OSTI ID:7034441

Millis, A J ^[1]

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1. AT T Bell Laboratories, Murray Hill, New Jersey 07974-0636 (United States)

I study a model in which quasiparticles on a two-dimensional square lattice interact via exchange of antiferromagnetic spin fluctuations, determining when one may write the Eliashberg equations for the normal-state self-energy and for {ital T}{sub {ital c}}. For parameters which have been argued to be appropriate for high-{ital T}{sub {ital c}} superconductors, I find the mass enhancement and scattering rate to vary over the Fermi surface by a factor of the ratio of the antiferromagnetic correlations length {xi} to the lattice constant. The pairing kernel is dominated by high-frequency spin fluctuations, and so {ital T}{sub {ital c}} in the BCS approximation is essentially independent of {xi}, explaining previous numerical work. The analytic solution suggests normal-state self-energy effects may not lower {ital T}{sub {ital c}} as severely as in other models of {ital d}-wave superconductivity.

• OSTI ID: 7034441
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 45:22; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
ANTIFERROMAGNETISM
COHERENCE LENGTH
CRITICAL TEMPERATURE
DIMENSIONS
FERMIONS
GORKOV-ELIASHBERG THEORY
HIGH-TC SUPERCONDUCTORS
LENGTH
MAGNETISM
PHYSICAL PROPERTIES
SUPERCONDUCTORS
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
TWO-DIMENSIONAL CALCULATIONS