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Title:Current flow in inhomogeneous superconductors
Author(s):Johnson, Jared Logan
Director of Research:Bardeen, John
Department / Program:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):supercurrent flow
Bogoliubov equations
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.
Issue Date:1974
Genre:Dissertation / Thesis
Rights Information:Copyright 1974 Jared Logan Johnson
Date Available in IDEALS:2012-04-19
Identifier in Online Catalog:3228381

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