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Subject Keyword CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ♦ SUPERCONDUCTING FILMS ♦ IMPURITIES ♦ TRANSITION TEMPERATURE ♦ BOUNDARY CONDITIONS ♦ DIFFUSION ♦ ENERGY GAP ♦ KERNELS ♦ ONE-DIMENSIONAL CALCULATIONS ♦ SCATTERING ♦ SUBSTRATES ♦ THICKNESS ♦ DIMENSIONS ♦ FILMS ♦ PHYSICAL PROPERTIES ♦ THERMODYNAMIC PROPERTIES ♦ Solid State Physics- Superconductivity- General Theory- (-1987)
Abstract The effects of impurity scattering on the transition temperature of a superconducting film of thickness L are analyzed. The film is in contact with a normal substrate (with zero BCS interaction parameter). The analysis is carried out with the aid of a gap equation whose kernel is a solution of a linearized version of Eilenberger's transport equations. The kernel may be written as a sum of two terms. One of these terms dominates in the dirty limit. In this limit, this term is equal to the kernel that satisfies the diffusion equation of de Gennes. The significance of these two terms in determining the transition temperature T/sub c/ is compared, for several values of L, by varying the impurity scattering time. It is shown that the correction to the diffusion approximation may give quantitatively, and in certain limits qualitatively, different results for T/sub c/. This correction in general leads to a different critical thickness L/sub c/ from that determined in the diffusion approximation (T/sub c/ = 0 for L<L/sub c/).
Educational Use Research
Learning Resource Type Article
Publisher Date 1983-01-01
Publisher Place United States
Journal J. Low Temp. Phys.
Volume Number 50
Issue Number 1
Organization Division of Chemistry, National Research Council of Canada, Ottawa, Ontario, Canada


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