Magnetic flux threading a planar holed superconductor
Cunill-Subiranas, Jaume (Universitat Autònoma de Barcelona. Departament de Física)
Bort-Soldevila, Natanael (Universitat Autònoma de Barcelona. Departament de Física)
Valle Benedí, Nuria del (Universitat Autònoma de Barcelona. Departament de Física)
Navau Ros, Carles (Universitat Autònoma de Barcelona. Departament de Física)

Date:	2025
Abstract:	We analytically evaluate the currents in a planar-holed ideal (perfect magnetic shielding) superconductor when an axial dipole is located along the system's axis, obtaining a simple relation between the fluxoid (in this geometry, it equals the flux) threading the hole, the net current circling it, and the magnitude and position of the dipole. This expression has to be added to the basic screening equations describing the superconductor to understand the different physical situations that can appear. Thus, several scenarios are studied: field and zero-field cooling cases, where the flux threading the hole is fixed; superconductors with a slit where the net current circling the hole is zero; and self-inductance case, where the flux threading the hole is only due to the screening currents. All the presented results are analytical for the axial dipole and are given as a function of the distance of the dipole from the plane of the superconductor. The results obtained can serve as a benchmark for recent and ongoing micromechanical experiments aimed at developing ultrasensitive gravimeters or applications searching for exotic spin-dependent interactions and dark matter, for example.
Grants:	Agencia Estatal de Investigación PID2023-149054NB-I00 European Commission 101080143 Agència de Gestió d'Ajuts Universitaris i de Recerca 2024/FI-2-00143
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Published in:	Physical review B, Vol. 111, Issue 17 (May 2025) , art. 174530, ISSN 2469-9969

DOI: 10.1103/PhysRevB.111.174530

Postprint 10 p, 1.9 MB

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