An equivalence between Dirac's equation of an electron subject to an applied magnetic and Maxwell's equations by introducing electric and magnetic fields linearly related to the spinor wavefunctions. The internal magnetic field adds to the applied field and screens it due to its diamagnetic character. For a superconductor this screening is the origin of the expulsion of magnetic vortices and turns into a non-linear Ampere's law, of which London's equation is an approximate linearized form obtained on fixing the value of the internal field to its average value. This equation can be used to predict the critical field, intermediate normal/superconductor phases as in type I materials and non-linear effects beyond London's state.
Internal spinor fields and London's equation
DALLACASA, Valerio
2002-01-01
Abstract
An equivalence between Dirac's equation of an electron subject to an applied magnetic and Maxwell's equations by introducing electric and magnetic fields linearly related to the spinor wavefunctions. The internal magnetic field adds to the applied field and screens it due to its diamagnetic character. For a superconductor this screening is the origin of the expulsion of magnetic vortices and turns into a non-linear Ampere's law, of which London's equation is an approximate linearized form obtained on fixing the value of the internal field to its average value. This equation can be used to predict the critical field, intermediate normal/superconductor phases as in type I materials and non-linear effects beyond London's state.
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