Mixed-state penetration depths in s-wave and d-wave superconductors

TL;DR

This paper presents a microscopic calculation of current and magnetic field distributions in the mixed state of s-wave and d-wave superconductors, highlighting the importance of non-local effects and superfluid velocity dependence, and compares results with experimental data.

Contribution

It introduces a detailed microscopic model that accounts for non-locality and superfluid velocity effects in the mixed state of superconductors, improving upon traditional London theory.

Findings

Corrections to London theory are significant at fields much lower than Hc2 in d-wave superconductors.

Field distribution is affected by superfluid velocity dependence and non-locality.

Results align with recent muon spin rotation measurements in high-temperature superconductors.

Abstract

We report on a microscopic calculation of the current and magnetic field distribution in the mixed state of model s-wave and d-wave superconductors. For the d-wave case, we find that corrections to London theory are important at fields small compared to $H_{c2}$. The field distribution is influenced by both superfluid-velocity dependence and non-locality in the current response function of the mixed state. We compare our calculations with recent muon spin rotation measurements in high temperature superconductors.