# Flux expulsion in niobium superconducting radio-frequency cavities of different purity and essential contributions to the flux sensitivity

## TL;DR

This study investigates how the purity and surface treatments of niobium cavities affect flux trapping sensitivity, revealing that lower purity increases trapped flux and surface treatments significantly influence flux sensitivity, with implications for optimizing superconducting RF cavity performance.

## Contribution

It provides experimental data on flux trapping sensitivity in niobium cavities of varying purity and surface treatments, and offers a theoretical analysis of pinning mechanisms affecting flux sensitivity.

## Key findings

- Lower purity niobium results in higher trapped flux.
- Surface treatments significantly alter flux sensitivity parameter $S$.
- Pinning mechanisms involve weak surface pinning regions affecting vortex oscillations.

## Abstract

Magnetic flux trapped during the cooldown of superconducting radio-frequency cavities through the transition temperature due to incomplete Meissner state is known to be a significant source of radio-frequency losses. The sensitivity of flux trapping depends on the distribution and the type of defects and impurities which pin vortices, as well as the cooldown dynamics when the cavity transitions from a normal to superconducting state. Here we present the results of measurements of the flux trapping sensitivity on 1.3 GHz elliptical cavities made from large-grain niobium with different purity for different cooldown dynamics and surface treatments. The results show that lower purity material results in a higher fraction of trapped flux and that the trapped flux sensitivity parameter $S$ is significantly affected by surface treatments but without much change in the mean free path $l$. We discuss our results within an overview of published data on the dependencies of $S(l,f)$ on $l$ and frequency $f$ using theoretical models of rf losses of elastic vortex lines driven by weak rf currents in the cases of sparse strong pinning defects and collective pinning by many weak defects. Our analysis shows how multiscale pinning mechanisms in cavities can result in a maximum in $S(l)$ similar to that observed by the FNAL and Cornell groups and how pinning characteristics can be extracted from the experimental data. Here the main contribution to $S$ come from weak pinning regions at the cavity surface, where dissipative oscillations along trapped vortices perpendicular to the surface propagate into the bulk well beyond the layer of rf screening current.

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Source: https://tomesphere.com/paper/1906.04163