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Title: Flux Quantization and Aharonov-Bohm Effect in Superconducting Rings

Abstract

Superconductivity is a macroscopic coherent state exhibiting various quantum phenomena such as magnetic flux quantization. When a superconducting ring is placed in a magnetic field, a current flows to expel the field from the ring and to ensure that the enclosed flux is an integer multiple of h/(2|e|). Although the quantization of magnetic flux in ring structures is extensively studied in literature, the applied magnetic field is typically assumed to be homogeneous, implicitly implying an interplay between field expulsion and flux quantization. Here, we propose to decouple these two effects by employing an Aharonov-Bohm-like structure where the superconducting ring is threaded by a magnetic core (to which the applied field is confined). Although the magnetic field vanishes inside the ring, the formation of vortices takes place, corresponding to a change in the flux state of the ring. The time evolution of the density of superconducting electrons is studied using the time-dependent Ginzburg-Landau equations.

Authors:
 [1]; ;  [2]
  1. Institute for Theoretical Physics, KU Leuven (Belgium)
  2. IMEC, Physics Modeling and Simulation (MSP) (Belgium)
Publication Date:
OSTI Identifier:
22771302
Resource Type:
Journal Article
Journal Name:
Journal of Superconductivity and Novel Magnetism
Additional Journal Information:
Journal Volume: 31; Journal Issue: 5; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; Article Copyright (c) 2017 Springer Science+Business Media, LLC; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1557-1939
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AHARONOV-BOHM EFFECT; ANNIHILATION OPERATORS; EIGENSTATES; ELECTRON DENSITY; FLUX QUANTIZATION; GINZBURG-LANDAU THEORY; MAGNETIC CORES; MAGNETIC FIELDS; MAGNETIC FLUX; SUPERCONDUCTIVITY; TIME DEPENDENCE; VORTICES

Citation Formats

Kenawy, Ahmed, Magnus, Wim, and Sorée, Bart. Flux Quantization and Aharonov-Bohm Effect in Superconducting Rings. United States: N. p., 2018. Web. doi:10.1007/S10948-017-4369-X.
Kenawy, Ahmed, Magnus, Wim, & Sorée, Bart. Flux Quantization and Aharonov-Bohm Effect in Superconducting Rings. United States. doi:10.1007/S10948-017-4369-X.
Kenawy, Ahmed, Magnus, Wim, and Sorée, Bart. Tue . "Flux Quantization and Aharonov-Bohm Effect in Superconducting Rings". United States. doi:10.1007/S10948-017-4369-X.
@article{osti_22771302,
title = {Flux Quantization and Aharonov-Bohm Effect in Superconducting Rings},
author = {Kenawy, Ahmed and Magnus, Wim and Sorée, Bart},
abstractNote = {Superconductivity is a macroscopic coherent state exhibiting various quantum phenomena such as magnetic flux quantization. When a superconducting ring is placed in a magnetic field, a current flows to expel the field from the ring and to ensure that the enclosed flux is an integer multiple of h/(2|e|). Although the quantization of magnetic flux in ring structures is extensively studied in literature, the applied magnetic field is typically assumed to be homogeneous, implicitly implying an interplay between field expulsion and flux quantization. Here, we propose to decouple these two effects by employing an Aharonov-Bohm-like structure where the superconducting ring is threaded by a magnetic core (to which the applied field is confined). Although the magnetic field vanishes inside the ring, the formation of vortices takes place, corresponding to a change in the flux state of the ring. The time evolution of the density of superconducting electrons is studied using the time-dependent Ginzburg-Landau equations.},
doi = {10.1007/S10948-017-4369-X},
journal = {Journal of Superconductivity and Novel Magnetism},
issn = {1557-1939},
number = 5,
volume = 31,
place = {United States},
year = {2018},
month = {5}
}