Properties of the gap energy in the van Hove scenario of high-temperature superconductivity

Journal Article · Thu Jul 01 04:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.48.597· OSTI ID:5528693

Getino, J M; de Llano, M; Rubio, H ^[1]

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1. Departamento de Fisica, Universidad de Oviedo, 33007 Oviedo (Spain)

An exact transition-temperature ([ital T][sub [ital c]]) formula is derived within the van Hove scenario of BCS phonon-mediated pairing theory consisting of a logarithmic singularity in the density of states (DOS) at the Fermi energy. Also evaluated are a near-exact zero-temperature gap-energy expression along with an exact (numerical) temperature-dependent gap energy. Though [ital T][sub [ital c]] is greatly enhanced over the conventional BCS (constant DOS) value for given (weak) coupling, the zero-temperature gap-to-[ital T][sub [ital c]] ratio and the temperature-dependent gap energy both differ little from the BCS values.

• OSTI ID: 5528693
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 48:1; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360207* -- Ceramics
Cermets
& Refractories-- Superconducting Properties-- (1992-)
BCS THEORY
ENERGY GAP
HIGH-TC SUPERCONDUCTORS
MATHEMATICAL MODELS
PARTICLE MODELS
PHYSICAL PROPERTIES
SUPERCONDUCTORS
TEMPERATURE ZERO K
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
VAN HOVE MODEL