Energy of Magnetic Vortices in Rotating Superconductor

Abstract. We carry out a systematic analytic investigation of stationary and cylindrically symmetric vortex configurations for simple models representing an incompressible non-relativistic superconductor in a background, which is rigidly rotating with the angular velocity Ω∞. It is shown that although the magnetic and kinetic contributions to the energy per unit length of such a vortex are separately modified by the background angular velocity, its effect on the total energy per unit length cancels out. For a type II superconductor threaded by a parallel array of such vortices, this result implies that the relevant macroscopic magnetic field strength H will not be equal to the large scale average 〈B〉 of the local magnetic induction B (as has previously been suggested) but instead that H will simply be equal to the external London field value B∞ = −(2m/q)Ω∞ (where m and q are the mass and charge of the condensate particles) that characterizes the value of B outside the vortices.