Lower Critical Field Hc1(T) and Pairing Symmetry Based on Eilenberger Theory

TL;DR

This paper uses Eilenberger theory to analyze the temperature dependence of the lower critical field Hc1 in different superconducting pairing symmetries, revealing deviations from London theory and differences in chiral p-wave states.

Contribution

It provides a quantitative comparison of Hc1(T) for s, p+, p-, and d wave pairings using Eilenberger theory, highlighting deviations from traditional London theory.

Findings

Hc1(T) differs between s wave and d wave pairings.

Hc1(T) is lower in p- wave pairing compared to p+ in chiral superconductors.

Hc1(T) shows deviations from London theory predictions.

Abstract

We quantitatively estimate different T-dependences of Hc1 between s wave and d wave pairings by Eilenberger theory. The T-dependences of Hc1(T) show quantitative deviation from those in London theory. We also study differences of Hc1(T) between p+ and p- wave pairing in chiral p wave superconductors. There, Hc1(T) is lower in p- wave pairing, and shows the same T-dependence as in s wave pairing.