Quasi-classical theory of weakly anisotropic superconductors

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http://eprints.org/relation/isVersionOf http://etheses.bham.ac.uk/id/document/19429 http://eprints.org/relation/isVolatileVersionOf http://etheses.bham.ac.uk/id/document/19429 http://eprints.org/relation/isIndexCodesVersionOf http://etheses.bham.ac.uk/id/document/19429 archive 4031 disk0/00/00/32/97 2012-05-04 13:34:50 2019-01-22 10:43:12 2012-05-04 13:34:50 thesis show 0 Smith Mark James University of Birmingham Quasi-classical theory of weakly anisotropic superconductors unpub Q1 QC T1 10col_ephy This thesis starts by reviewing superconductivity in one-dimension where fluctuations cause a loss of supercurrent due to an intrinsic resistance. Solved via the Ginzburg-Landau equations, the theory of thermally activated phase slips given by Langer and Ambegaokar is outlined. In turn this leads to the investigation of superconductivity via a microscopic approach, in particular the quasi-classic green’s functions of Eilenberger. The Eilenberger equations are derived and considered in the dirty and weakly anisotropic limits which provides a simple derivation of the Ginzburg-Landau equations near the transition temperature. This prompts an extended derivation which includes the non-linear terms normally removed in deriving the Ginzburg-Landau equations. This is required for calculating effects at temperatures below the transition temperature. These quasi-classic equations of weakly anisotropic superconductors are first written for arbitrary temperature and impurity concentration then limited to the pure and dirty cases. The latter being simplified to zero temperature and solved in the context of thermally activated phase slips. 2012-07 2011-09 graduation eng author unchecked This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder. public 138 University of Birmingham School of Physics and Astronomy d_ph na 2012-07 graduation