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

TLDR

The study investigates the microscopic resistive state of Type‑II superconductors in high magnetic fields, focusing on the dirty and pure limits. The authors calculate how a uniform motion of the order parameter in both limits alters longitudinal resistivity, the Ettinghausen coefficient, the Hall angle, and the Peltier coefficient. They find that a constant electric field in high magnetic fields drives the order parameter perpendicular to both the electric and magnetic fields, induces polarization along the electric field, and generates additional contributions to electric and thermoelectric transport, including changes in resistivity, Ettinghausen, Hall angle, and Peltier coefficients.

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 $\ensuremath{-}u=\frac{\ensuremath{-}E}{{H}_{c2}}$, 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.