Abstract
In condensed matter physics, knowing the lower critical magnetic field ${H}_{c1}$ is necessary to evaluate the superfluid density, which can provide insight into the gap structure gap and mechanism of superconductivity in a type-II superconductor. Measuring ${H}_{c1}$ is complicated by the distortion of a magnetic field around the sample, and by the sensitivity and spatial resolution of the chosen technique. This work demonstrates minimally invasive vector magnetometry based on optically detected magnetic resonance of N-$V$ centers in diamond, which, with the help of revised demagnetization corrections for real-world nonellipsoidal samples, provides a sensitive method to measure ${H}_{c1}$.
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