Stabilization of critical temperature with respect to repulsion in strong-coupled superconductors

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

DOI:https://doi.org/10.1103/PhysRevB.50.6483· OSTI ID:7004950

Ivanchenko, Y M ^[1]

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1. Department of Physics, Polytechnic University, Six MetroTech Center, Brooklyn, New York 11201 (United States)

It is shown that the Eliashberg's equations (EE) have two kinds of solutions for the critical temperature [ital T][sub [ital c]]. The solution of the first kind leads to the traditional smooth dependence of [ital T][sub [ital c]] on the value of the Coulomb pseudopotential [mu][sup *]. This dependence has been extensively studied in literature. The second kind of solutions manifests as quantized critical temperatures appearing at finite values of [mu][sup *] but not depending on its magnitude. Such solutions are only possible for strong-coupled superconductors. Thus, the dependence [ital T][sub [ital c]]([mu][sup *]) in the mean-field approximation is a many-valued function. In the vicinity where the traditional solution approaches a quantized solution the mean-field approximation fails and the system fluctuationally switches to another stable mean-field branch. This process results in appearance of flat regions in the [ital T][sub [ital c]]([mu][sup *]) dependence.

• DOE Contract Number: FG02-87ER45301
• OSTI ID: 7004950
• Journal Information: Physical Review, B: Condensed Matter; (United States), Vol. 50:9; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
SUPERCONDUCTORS
TRANSITION TEMPERATURE
COULOMB FIELD
FLUCTUATIONS
GORKOV-ELIASHBERG THEORY
MEAN-FIELD THEORY
STRONG-COUPLING MODEL
ELECTRIC FIELDS
MATHEMATICAL MODELS
PARTICLE MODELS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
VARIATIONS
665411* - Basic Superconductivity Studies- (1992-)