The BCS critical temperature in a weak homogeneous magnetic field

Frank, Rupert L. ; Hainzl, Christian und Langmann, Edwin (2019): The BCS critical temperature in a weak homogeneous magnetic field. In: Journal of Spectral Theory, Bd. 9, Nr. 3: S. 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik > Analysis, Mathematische Physik und Numerik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1664-039X
• Sprache: Englisch