The BCS critical temperature in a weak homogeneous magnetic field
Rupert L. Frank
Ludwig-Maximilians-Universität München, GermanyChristian Hainzl
Universität Tübingen, GermanyEdwin Langmann
KTH Royal Institute of Technology, Stockholm, Sweden
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Abstract
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.
Cite this article
Rupert L. Frank, Christian Hainzl, Edwin Langmann, The BCS critical temperature in a weak homogeneous magnetic field. J. Spectr. Theory 9 (2019), no. 3, pp. 1005–1062
DOI 10.4171/JST/270