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

This article presents a phenomenological theory for studying thermomag netoelectric effects in type-II superconductors in the mixed state. In the theoretical model, the anisotropic effect, the vortex dynamic eff ect, the flux-flow Hall effect and the thermomagnetic effects in the t ype-II superconductor in the mixed state are all taken into account se lf-consistently. It is shown that, at the London approximation, the cl assical first and second London equations for superconductors in the M eissner state are modified for the superconductors in the mixed state due to vortex dynamic effects, which are, in general, nonlinear. At th e linear approximation, effective constitutive equations and field equ ations are derived to describe the thermomagnetoelectric behavior of a nisotropic type-II superconductors in the mixed state. It is shown tha t the derived field equations are, in general, coupled due to the vort ex dynamic effects. A possible solution of a plane thermomagnetic wave in the type-II superconductor in the mixed state is also studied illu stratively.