The BCS critical temperature in a weak homogeneous magnetic field

Frank, Rupert L. ; Hainzl, Christian and Langmann, Edwin (2019): The BCS critical temperature in a weak homogeneous magnetic field. In: Journal of Spectral Theory, Vol. 9, No. 3: pp. 1005-1062

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 from WHH 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1664-039X
• Language: English