On quantization of magnetic flux
A. R. Izbreht
Abstract:
The objective of this work is to substantiate the possibility of quantization of the magnetic flux in a superconducting ring
and in a superconducting cylinder according to the constant
$h/2|e|$ without involving the concept of Cooper pairs of electrons.
For this purpose, the well-known de Broglie formula
$L = h/m_eV$ is transformed to the form
$Ekn = nhI_n /2|e|$ (where
$E_{kn}$ is the
kinetic energy of the electron at the
$n$-energy level, In is the current created by the electron at the
$n$-energy level). The position
that the value
$h/2|e|$ is a quantum of magnetic flux is justified, so the magnetic flux
$F$ created by a single electron during its
movement along the circumference is determined by the relation
$F = nh/2|e|$. The method of calculation of the magnetic field
created by a single electron during its motion along the circumference, based on the property of ideal diamagnetism of
superconductors, is presented. The correspondence of the formulas obtained as a result of the application of this method to the
values of diameters and wall thicknesses of superconducting tubes in the experiments of Deaver and Feuerbenk, Doll and
Nöbauer is shown, and a detailed analysis of these experiments is given. It is concluded that for explaining the quantization of
the magnetic flux in accordance with the constant
$h/2|e|$ there is no need to refer to the concept of Cooper pairs of electrons.
Keywords:
de Broglie formula, magnetic flux quantum, superconductivity. Received: 30.09.2023
Revised: 16.02.2024
Accepted: 26.01.2024
DOI:
10.23670/IRJ.2024.140.7