Abstract

The manifestly Lorentz covariant Ginzburg-Landau equations coupledto Maxwell's equations are considered as a possible framework for theeffective description of the interactions between low temperaturesuperconductors and both magnetic and electric fields. A specific experimentalset-up, involving a nanoscopic superconductor and only static applied fieldswhose geometry is, however, crucial, is described, which should allow us toconfirm or invalidate the covariant model through the determination of thetemperature dependence of the critical magnetic-electric field phase diagramand the identification of some distinctive features it should display.

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