Semi-classical understanding of flux quantization in superconductors

Fuente: arXiv
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Autore principale: Bhattacharya, Kolahal
Natura: Preprint
Pubblicazione: 2023
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author Bhattacharya, Kolahal
author_facet Bhattacharya, Kolahal
contents Like electric charge, magnetic flux is also quantised. Theoretically, one can show that the flux quantum must be h/e, as observed in the quantum Hall effect. However, in the superconducting systems, the flux quantum is experimentally observed as h/2e. There is no fundamental explanation for the empirical result. In this article, we argue that this phenomenon is fundamentally linked to the nonlocality problem of the Aharonov-Bohm effect and present a new semi-classical explanation for the magnetic flux quantum in superconductivity. This work will also show why the flux quantum should be h/e in the case of the quantum Hall effect.
format Preprint
id arxiv_https___arxiv_org_abs_2308_14757
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Semi-classical understanding of flux quantization in superconductors
Bhattacharya, Kolahal
General Physics
Like electric charge, magnetic flux is also quantised. Theoretically, one can show that the flux quantum must be h/e, as observed in the quantum Hall effect. However, in the superconducting systems, the flux quantum is experimentally observed as h/2e. There is no fundamental explanation for the empirical result. In this article, we argue that this phenomenon is fundamentally linked to the nonlocality problem of the Aharonov-Bohm effect and present a new semi-classical explanation for the magnetic flux quantum in superconductivity. This work will also show why the flux quantum should be h/e in the case of the quantum Hall effect.
title Semi-classical understanding of flux quantization in superconductors
topic General Physics
url https://arxiv.org/abs/2308.14757