Abstract

The magnetic signature of a nanoscopic superconductor immersed in a magnetic applied field \(H_e\) is calculated numerically. The calculated magnetic susceptibility \(\partial M / \partial H_e\) of a superconducting nanoprism shows discontinuities and a quasiperiodic modulation at the vortex transition fields \(H_\mathrm{T}\) (fields for which one or several vortices enter/leave the sample). In this contribution, we studied the influence of the sample size, the Ginzburg–Landau parameter \(\kappa \) and the deGennes parameter b on the magnetic susceptibility in a type-II isotropic superconductor. We found distinct signatures of the magnetic susceptibility when superconducting samples of two and three dimensions are considered.

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