Quantum Vortex - Vortex in A Superconductor

Vortex in A Superconductor

A principal property of superconductors is that they expel magnetic fields; this is called the Meissner effect. If the magnetic field becomes sufficiently strong, one scenario is for the superconductive state to be "quenched". However, in some cases, it may be energetically favorable for the superconductor to form a lattice of quantum vortices, which carry quantized magnetic flux through the superconductor. A superconductor that is capable of having vortex lattices is called a type-II superconductor.

Over some enclosed area S, the magnetic flux is

Substituting a result of London's equation:, we find

,

where ns, m, and es are the number density, mass and charge of the Cooper pairs.

If the region, S, is large enough so that along, then

The flow of current can cause vortices in a superconductor to move, it causes the electric field due to the phenomenon of electromagnetic induction. This leads to energy dissipation and causes the material to display a small amount of electrical resistance while in the superconducting state.

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