Lower Critical Field Measurement System based on Third-Harmonic Method for Superconducting RF Materials
Hayato Ito, Hitoshi Hayano, Takayuki Kubo, and Takayuki Saeki

TL;DR
This paper presents a novel measurement system for the lower critical field in superconductors using third-harmonic response, enabling more accurate characterization of superconducting RF materials and overcoming previous limitations.
Contribution
The authors introduce a third-harmonic based measurement system that accurately determines Hc1, mimicking SRF cavity conditions and allowing characterization of advanced surface-engineered superconductors.
Findings
Successfully measured Hc1 temperature dependence in Nb samples
Achieved magnetic fields of at least 120 mT at 4-5 K
Results align with existing literature
Abstract
We develop a lower critical field (Hc1) measurement system using the third-harmonic response of an applied AC magnetic field from a solenoid coil positioned above a superconducting sample. Parameter Hc1 is measured via detection of the third-harmonic component, which drastically changes when a vortex begins to penetrate the superconductor with temperature increase. The magnetic field locally applied to one side of the sample mimics the magnetic field within superconducting radio-frequency (SRF) cavities and prevents edge effects of the superconducting sample. With this approach, our measurement system can potentially characterize surface-engineered SRF materials such as Superconductor-Insulator-Superconductor multilayer structure (S-I-S structure). As a validation test, we measure the temperature dependence of Hc1 of two high-RRR bulk Nb samples and obtain results consistent with the…
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