Local structure of an Abrikosov vortex in a granular superconductor

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Local structure of an Abrikosov vortex in a granular superconductor

JETP Letters. 2026. Vol. 124. No. 1. P. 46–53.

Golubov A., Khapaev M. M., Stolyarov V. S., Kupriyanov M. Y.

We study the local structure of an Abrikosov vortex centered in a mesoscopic diffusive superconducting granule within the Usadel framework. We show that the spatial dependence of the pair potential, supercurrent, and local density of states near the vortex center is governed by a single parameter, leading to universal behavior in the core region. This parameter also controls discontinuities in these quantities at the interface between the grain and the surrounding superconductor. We further derive an explicit criterion for vortex existence in an isolated grain, yielding a critical radius Rc equal approximately to 3.47 coherence length. The obtained results
enable the extraction of interface parameters from spectroscopic data.

Language: English

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Fully Microscopic Treatment of Magnetic Field Using Bogoliubov–De Gennes Approach

Vyacheslav D. Neverov, Kalashnikov A., Alexander E. Lukyanov et al., Condensed Matter 2024 Vol. 9 No. 1 Article 8

This work introduces an algorithm designed to solve the Bogoliubov–de Gennes equations of superconductivity theory. What sets this algorithm apart is its remarkable ability to precisely and consistently consider the impact of an external magnetic field, all within the microscopic approach. The computation scheme’s convergence is guaranteed by addressing the Biot–Savart equation for the field ...

Added: May 24, 2024