Energy of Magnetic Vortices in Rotating Superconductor

Details Energy of Magnetic Vortices in Rotating Superconductor Energy of Magnetic Vortices in Rotating Superconductor

1999-10-15

arxiv.org/abs/cond-mat/9910240v1

Phys.Rev. B 62, 9740 (2000)

Physics

Condensed Matter

Superconductivity

8 pages, uses RevTeX, submitted to Phys.Rev.B

Scientific paper

10.1103/PhysRevB.62.9740

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 rigidly rotating background. 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 of the local magnetic induction B (as has previously been suggested) but instead that H will simply be equal to the external London field that characterizes the value of B outside the vortices.