Zero-field superfluid density in d-wave superconductor evaluated from the results of muon-spin-rotation experiments in the mixed state

TL;DR

This study uses muon-spin rotation experiments to measure the magnetic penetration depth in a d-wave superconductor, enabling evaluation of the zero-field superfluid density and advancing understanding of unconventional superconductivity.

Contribution

It demonstrates that muon-spin rotation experiments in various magnetic fields can accurately evaluate the zero-field magnetic penetration depth in d-wave superconductors.

Findings

Measured in-plane magnetic penetration depth b in OP Bi2201

Established a method to determine zero-field superfluid density from b data

Linked muon-spin rotation results to superfluid density in unconventional superconductors

Abstract

We report on measurements of the in-plane magnetic penetration \lambda_{ab} in the optimally doped cuprate superconductor (BiPb)_2(SrLa)_2CuO_6+\delta (OP Bi2201) by means of muon-spin rotation (\muSR). We show that in unconventional $d-$wave superconductors (like OP Bi2201), \muSR experiments conducted in various magnetic fields allow to evaluate the zero-field magnetic penetration depth \lambda_0, which relates to the zero-field superfluid density in terms of \rho_s\propto\lambda_0^-2.