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The BCS critical temperature in a weak homogeneous magnetic field
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.ORCID iD: 0000-0001-7481-2245
2019 (English)In: Journal of Spectral Theory, ISSN 1664-039X, E-ISSN 1664-0403Article in journal (Refereed) In press
Abstract [en]

We show that, within a linear approximation of BCS theory, a weak homogeneous magnetic field lowers the critical temperature by an explicit constant times the field strength, up to higher order terms. This provides a rigorous derivation and generalization of results obtained in the physics literature fromWHH theory of the upper critical magnetic field. A new ingredient in our proof is a rigorous phase approximation to control the effects of the magnetic field.

Place, publisher, year, edition, pages
2019.
Keywords [en]
Superconductivity, BCS theory, magnetic field
National Category
Natural Sciences
Research subject
Mathematics; Physics
Identifiers
URN: urn:nbn:se:kth:diva-249107DOI: 10.4171/JST/270OAI: oai:DiVA.org:kth-249107DiVA, id: diva2:1303805
Funder
Swedish Research Council, VR2016-05167Stiftelsen Olle Engkvist Byggmästare, 184-0573
Note

QC 20190521

Available from: 2019-04-10 Created: 2019-04-10 Last updated: 2019-05-21Bibliographically approved

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Langmann, Edwin

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