Self-consistent calculations of superconductivity in a nearly antiferromagnetic Fermi liquid

Journal Article · Sat Oct 01 00:00:00 EDT 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.50.10149· OSTI ID:6959516

Lenck, S; Carbotte, J P ^[1]; Dynes, R C ^[2]

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1. Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, L8S4M1 (Canada)
2. Physics Department, University of California at San Diego, La Jolla, California 92093 (United States)

Within a Hubbard model with on-site repulsion [ital U] and nearest-neighbor hopping [ital [bar t]] in the two-dimensional copper oxide plane, we have carried out self-consistent calculations of the superconducting critical temperature [ital T][sub [ital c]] resulting from spin and charge fluctuations. The gap is found to have [ital d][sub [ital x]][sup 2][minus][ital y][sup 2] symmetry and [ital T][sub [ital c]][congruent]0.016[ital [bar t]]. Superconductivity exists only for a narrow range of [ital U], very near the antiferromagnetic instability ([ital U][sub [ital c]]). In this region near [ital U][sub [ital c]], the Stoner enhancement in the incommensurate peaks of the spin susceptibility near ([pi],[pi]) is of order 100--200. The absolute size of the peaks at [ital T][sub [ital c]] is of the same order as measured, as is also the relative height of peaks to background. However, the theory predicts a suppression of these structures as [ital T] is reduced below [ital T][sub [ital c]] which is much faster than observed.

• OSTI ID: 6959516
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 50:14; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETISM
COPPER COMPOUNDS
CRYSTAL MODELS
CUPRATES
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FERMI GAS
FLUIDS
GASES
HUBBARD MODEL
MAGNETIC PROPERTIES
MAGNETIC SUSCEPTIBILITY
MAGNETISM
MATHEMATICAL MODELS
OXYGEN COMPOUNDS
PHYSICAL PROPERTIES
SELF-CONSISTENT FIELD
SUPERCONDUCTIVITY
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES
TRANSITION ELEMENT COMPOUNDS
TRANSITION TEMPERATURE