A Study of the Thallium- and Bismuth-based High-temperature Superconductors in the Framework of the Generalized BCS Equations

Presented here in the framework of the generalized BCS equations—which are based on multiple phonon exchanges for the formation of Cooper pairs (CPs)—is continuation of a study carried out earlier for MgB 2 Nb 3 Sn and YBCO. Addressed now are the principal members of the Tl- and Bi-based high- T c s...

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Bibliographic Details
Published in:Journal of superconductivity and novel magnetism 2011-01, Vol.24 (1-2), p.255-260
Main Authors: Malik, G. P., Malik, Usha
Format: Article
Language:English
Subjects:
Bcs theory and its development
BORIDES
Characterization and Evaluation of Materials
Condensed Matter Physics
Condensed matter: electronic structure, electrical, magnetic, and optical properties
COPPER OXIDE
DEBYE TEMPERATURE
Exact sciences and technology
Exchange
Magnesium compounds
Magnetic Materials
Magnetism
MATHEMATICAL ANALYSIS
Original Paper
Physics
Physics and Astronomy
Strongly Correlated Systems
SUPERCONDUCTIVITY
SUPERCONDUCTORS
Theory and models of superconducting state
YBCO superconductors
YTTRIUM OXIDE
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Summary:Presented here in the framework of the generalized BCS equations—which are based on multiple phonon exchanges for the formation of Cooper pairs (CPs)—is continuation of a study carried out earlier for MgB 2 Nb 3 Sn and YBCO. Addressed now are the principal members of the Tl- and Bi-based high- T c superconductors. For any of these, with the input of any two parameters from the set {critical temperature, two gaps}, and the Debye temperature, it is shown that one can calculate the remaining parameter. This is similar to what normal BCS equations achieve for a simple superconductor. Further, we show that these equations lead to upper bounds on the gap- and the T c -values of a HTSC, beyond which one must invoke 2/3-phonon mechanism for the formation of CPs. Our considerations suggest the interesting possibility that senior members of the said families of cuprates may be three-gap SCs.
ISSN:1557-1939
1557-1947
DOI:10.1007/s10948-010-1009-0