The critical magnetic field of thin superconducting films

✍ Scribed by V. A. Litovchenko

• Publisher: John Wiley and Sons
• Year: 1971
• Tongue: English
• Weight: 333 KB
• Volume: 45
• Category: Article
• ISSN: 0370-1972
• DOI: 10.1002/pssb.2220450103

✦ Synopsis

Abstract

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~.