Electromagnetic and thermomagnetic properties of high- superconductor in its mixed state: the single-vortex-motion model

Abstract

In the first part of this article we review the theory of flux motion in conventional superconductors. We then describe the recent developments in the theory of vortex motion in the mixed state of high-T c superconductors. In particular, a unified theory of vortex motion in the presence of thermal fluctuations and pinning centres is introduced in detail. Applications of this theory are presented to account for such experimentally observed phenomena as the scaling behaviour, sign reversal of the Hall resistivity and properties of the complex resistivity. Moreover, theoretical investigations on the thermomagnetic effects such as the Nernst and Seebeck effects, and the Ettinghausen effect are also addressed. Such an analysis using the single-vortex-motion model could provide an understanding of many physical properties of high-T c superconductors.

Reliable determination of vortex parameters from measurements of the microwave complex resistivity

“…When the vortex displacement is sufficiently small to ensure the validity of the local limit, e.g. with increasing the driving frequency, the vortex velocity v is customarily determined by writing down the dynamic equation for the balance of forces (per unit length) exerted on a single vortex: 5,58,59,60,61 ηv…”

Current density in the intermediate state of superconductors

“…Wang et al have described the theory of vortex motion in the mixed state of high-T c superconductors. In their review article they explained the application of this theory, and attributed the experimentally observed phenomena as the scaling behaviour sign reversal of the Hall resistivity and properties of complex resistivity [11].…”