Muon Spin Rotation in Pauli Limited Superconductors

TL;DR

This paper develops a formalism to analyze magnetic field distributions in Pauli limited superconductors using muon spin rotation data, providing analytical formulas and applying Abrikosov's analysis to describe field-dependent vortex lattice behavior near the superconductor-metal transition.

Contribution

It introduces a new analytical approach to interpret $bc$SR measurements in Pauli limited superconductors, especially near the critical field where depairing dominates.

Findings

Derived analytical formulas for static linewidth in moderate fields.

Applied Abrikosov's analysis to describe field variations near the transition.

Enhanced understanding of vortex lattice behavior in Pauli limited superconductors.

Abstract

The formalism for analysing the magnetic field distribution in Pauli limited superconductors developed earlier is applied to the field dependence of the vortex lattice static linewidth measured in Muon Spin Rotation ($\mu$SR) experiments. In addition to writing analytical formulae for the static linewidth for the vortex structure in the limit of independent vortices (i.e. moderate magnetic fields), we use Abrikosov's analysis to describe the field variations of the static linewidth at the approach of the superconductor to metal transition in the limit where the critical field is determined by Pauli depairing.