A microscopic derivation of the critical magnetic field in a superconductor |
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Authors: | Detlef Lehmann |
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Institution: | (1) Mathematik, ETH Zentrum, HG G.32.1, CH-8092 Zürich, Switzerland;(2) Present address: Institute for Advanced Study, Olden Lane, 08540 Princeton, New Jersey, USA |
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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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