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Efficient Computational Procedure for the Analytic Continuation of Eliashberg Equations
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences.
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences.
2014 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

The superconducting order parameter and the mass renormalization function can be solved either at discrete frequencies along the imaginary axis, or as a function of continuous real frequencies. The latter is done with a method called analytic continuation. The analytic continuation can conveniently be done by approximating a power series to the functions, the Padè approximation. Studied in this project is the difference between the Padè approximation, and a formally exact analytic continuation of the functions.

As it turns out, the Padè approximant is applicable to calculate the superconducting order parameter at temperatures sufficiently below the critical temperature. However close to the critical temperature the approximation fails, while the solution presented in this report remains reliable.

Place, publisher, year, edition, pages
2014. , 35 p.
Series
TVE, TVE 14 023 juni
Keyword [en]
superconductivity, analytic continuation, BCS theory
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-226315DOI: 35OAI: oai:DiVA.org:uu-226315DiVA: diva2:725143
Educational program
Master Programme in Engineering Physics
Supervisors
Examiners
Available from: 2014-06-25 Created: 2014-06-15 Last updated: 2014-06-25Bibliographically approved

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