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The critical magnetic field of thin superconducting films
Author(s) -
Litovchenko V. A.
Publication year - 1971
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220450103
Subject(s) - condensed matter physics , superconductivity , quantization (signal processing) , semiclassical physics , electron , thin film , magnetic field , critical field , limiting , physics , metal , cooper pair , quantum , materials science , quantum mechanics , mathematics , mechanical engineering , algorithm , engineering , metallurgy
In recent papers [1 to 4] on critical magnetic field of superconducting films the one‐electron state is treated almost in a “semiclassical” way. Though the motion of electrons in the direction of the film thickness is described by a quantum number n [2], the special features of electron pairing in thin films were not taken into account. Thus the results are valid only for thick metal films ( L ≧ 10 −5 cm). In this paper the quantization of electron motion in the direction of the film thickness is taken into account. This motion is described by a wave function Ψ( z ) and a quantum number n. Moreover Cooper pairs are built in a correct way [5]. H e is calculated for thin metal films. In the limiting case of thick films the result agrees with that of [2]. Furthermore, the approach used permits to study semi‐metal and semiconducting films too, where H c is calculated for the whole range of thicknesses (50 to 1000 Å). All results are valid near T c .