Effect of field dependent core size on reversible magnetization of high-$\kappa$ superconductors

TL;DR

This paper models how the vortex core size in high-$$ superconductors varies with magnetic field and incorporates this into the London model to better describe reversible magnetization, aligning with experimental data.

Contribution

It introduces a method to incorporate field-dependent vortex core size into the London model, improving the description of magnetization in high-$$ superconductors.

Findings

$\xi(B)$ decreases with increasing magnetic field.

The method aligns with $$SR and neutron scattering data.

The model qualitatively agrees with theoretical predictions.

Abstract

The field dependence of the vortex core size $\xi(B)$ is incorporated in the London model, in order to describe reversible magnetization $M(B,T)$ for a number of materials with large Ginzburg-Landau parameter $\kappa$. The dependence $\xi(B)$ is directly related to deviations in $M(\ln B)$ from linear behavior prescribed by the standard London model. A simple method to extract $\xi(B)$ from the magnetization data is proposed. For most materials examined, $\xi(B)$ so obtained decreases with increasing field and is in qualitative agreement both with behavior extracted from $\mu$SR and small angle neutron scattering data and with that predicted theoretically.