Weak localisation corrections to electrical and thermal conductivity in superconducting metals

Spink, Jacob (2023). Weak localisation corrections to electrical and thermal conductivity in superconducting metals. University of Birmingham. Ph.D.

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Abstract

This thesis examines the weak localisation correction to electrical and thermal conductivity in superconductors. We propose that the thermal conductivity may be the better candidate to detect weak localisation effects in superconductors, due to the absence of the supercurrent. We provide an analytic calculation of the weak localisation correction to thermal conductivity in a superconductor with the phase coherence lifetime, τϕ, included as a phenomenological parameter. We then examine the case where magnetic impurities are the source of the phase breaking. We provide a thorough derivation of the analytic behaviour in the calculation of the electrical and thermal conductivity with magnetic impurities. We evaluate the full frequency dependent form of the cooperon including magnetic impurities and find the leading order form in the limit of weak doping with magnetic impurities. We provide a partial calculation of the weak localisation correction to thermal conductivity in superconductors weakly-doped with magnetic impurities.

Type of Work: Thesis (Doctorates > Ph.D.)
Award Type: Doctorates > Ph.D.
Supervisor(s):
Supervisor(s)EmailORCID
Smith, RobertUNSPECIFIEDUNSPECIFIED
Gunn, JohnUNSPECIFIEDUNSPECIFIED
Licence: All rights reserved
College/Faculty: Colleges (2008 onwards) > College of Engineering & Physical Sciences
School or Department: School of Physics and Astronomy
Funders: Engineering and Physical Sciences Research Council
Subjects: Q Science > QC Physics
URI: http://etheses.bham.ac.uk/id/eprint/14222

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