Motion of the Vortex Structure in Type-II Superconductors in High Magnetic Field

Abstract

We study microscopically the resistive state in Type-II superconductors in high field in two extreme limits (i.e., the dirty limit and the pure limit). We establish that in high magnetic field, a constant electric field induces (1) a uniform motion of the order parameter in the direction perpendicular to both the electric and the magnetic fields with velocity $-u=\frac{-E}{H_{c2\mathrm{}}}$, and (2) a polarization along the electric field proportional to this velocity. This gives rise to additional contributions to the electric and thermoelectric transport coefficients. We calculate in both limits the changes of longitudinal resistivity and Ettinghausen coefficient due to the above effect. In the pure limit, we also obtain the variations of the Hall angle and the Peltier coefficient.