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https://hdl.handle.net/2142/30688
Description
Title
Current flow in inhomogeneous superconductors
Author(s)
Johnson, Jared Logan
Issue Date
1974
Director of Research (if dissertation) or Advisor (if thesis)
Bardeen, John
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
supercurrent flow
Bogoliubov equations
Superconductor
Language
en
Abstract
"The change of normal current flow into supercurrent flow is examined in a number of problems in which the pair potential of the superconductor can vary spatially. We examine approximate solutions to the Bogoliubov equations in the limits that the pair potential, ~('f), varies quickly or slowly compared to a coherence length, ~ (T), to see how well such solutions conserve charge
c flux. These solutions are then used to compute the linear current response of a superconductor in these two limits. Scatter'ing is included using the Mattis-Bardeen scattering technique. Using the step-like pair potential the linear current response of a superconducting-normal (SN) junction as well as NSN, SNS, and layered structures SNSN... as occur with a static electric field applied normal to the boundaries is calculated. The results for the self-consistent currents and fields are found to be the same in certain limits as those found by other investigators who used semiphenomenological approaches. The linear current response of a superconductor with a pair potential which varies slowly over a coherence length to an applied alternating electric field is also examined. This result should be useful in describing the current response of very wide superconducting-normal-superconducting (SNS) junctions in which
a very small pair potential exists in the ""normal"" region at very low temperatures in the millidegree range."
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