Nonlinearity of the field induced by a rotating superconducting shell

Abstract

A rotating superconductor generates a magnetic field. This field is usually known as the “London moment” since a good approximation for it can be obtained by the use of the London theory. We evaluate a more accurate approximation for the field generated by a thin shell with cylindrical symmetry in the Ginzburg–Landau framework. We find that the field not only depends on the angular velocity ω, but also on three characteristic frequencies, which we denote by ωΦ, ωξ, and ωκ. The London result is valid in the regime where ωκ⪡ωξ and ωΦ⪡ω⪡ωξ.

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