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A microscopic derivation of the critical magnetic field in a superconductor

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Abstract

The propagator for a noninteracting many electron system in a constant magnetic field in three space time dimensions is computed. This formula and the results of [FT1,2] are used to give a microscopic derivation of a BCS-equation with magnetic field. It is shown that this equation has no solution if the magnetic field is sufficiently large. Perturbation theory in the interaction around the magnetic field propagator is discussed.

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References

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Author notes

  1. Detlef Lehmann

    Present address: Institute for Advanced Study, Olden Lane, 08540, Princeton, New Jersey, USA

Authors and Affiliations

  1. Mathematik, ETH Zentrum, HG G.32.1, CH-8092, Zürich, Switzerland

    Detlef Lehmann

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  1. Detlef Lehmann
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Communicated by G. Felder

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Lehmann, D. A microscopic derivation of the critical magnetic field in a superconductor. Commun.Math. Phys. 173, 155–174 (1995). https://doi.org/10.1007/BF02100185

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  • DOI: https://doi.org/10.1007/BF02100185

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