Local strong magnetic fields and the Little-Parks effect

2024/05/15 by Ayman Kachmar, Kachmar, Ayman, Mikael Persson Sundqvist +1 · 1 citation
Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #Solar and Space Plasma Dynamics #Geomagnetism and Paleomagnetism Studies #Ionosphere and magnetosphere dynamics

paper · pdf · doi:10.48550/arxiv.2405.09099

Abstract

Starting from the Ginzburg--Landau model in a planar simply connected domain, with a local compactly supported applied magnetic field, we derive an effective model in the strong field limit, defined on a non-simply connected domain. The effective model features oscillations in the Little-Parks and Aharonov--Bohm spirit. We discuss also a similar question for the lowest eigenvalue of the magnetic Laplacian.

Cited by

• Three-dimensional magnetic Schrödinger operator with the potential supported in a tube

Related

• The magnetic Laplacian on the Disc for strong magnetic fields
• On the Laplace operator with a weak magnetic field in exterior domains
• Averaging of magnetic fields and applications
• Energy and Vorticity of the Ginzburg-Landau Model with Variable Magnetic\n Field
• Effective models for conductance in magnetic fields: derivation of Harper and Hofstadter models