MODELING OF THERMOMAGNETOELECTRIC EFFECTS IN TYPE-II SUPERCONDUCTORS IN THE MIXED-STATE

This article presents a phenomenological theory for studying thermomagnetoelectric effects in type-II superconductors in the mixed state. In the theoretical model, the anisotropic effect, the vortex dynamic effect, the flux-flow Hall effect and the thermomagnetic effects in the type-II superconductor in the mixed state are all taken into account self-consistently. It is shown that, at the London approximation, the classical first and second London equations for superconductors in the Meissner state are modified for the superconductors in the mixed state due to vortex dynamic effects, which are, in general, nonlinear. At the linear approximation, effective constitutive equations and field equations are derived to describe the thermomagnetoelectric behavior of anisotropic type-II superconductors in the mixed state. It is shown that the derived field equations are, in general, coupled due to the vortex dynamic effects. A possible solution of a plane thermomagnetic wave in the type-II superconductor in the mixed state is also studied illustratively.