An operatortheoretical study on the BCSBogoliubov model of superconductivity near absolute zero temperature
Abstract
In the preceding papers the present author gave another proof of the existence and uniqueness of the solution to the BCSBogoliubov gap equation for superconductivity from the viewpoint of operator theory, and showed that the solution is partially differentiable with respect to the temperature twice. Thanks to these results, we can indeed partially differentiate the solution and the thermodynamic potential with respect to the temperature twice so as to obtain the entropy and the specific heat at constant volume of a superconductor. In this paper we show the behavior near absolute zero temperature of the thusobtained entropy, the specific heat, the solution and the critical magnetic field from the viewpoint of operator theory since we did not study it in the preceding papers. Here, the potential in the BCSBogoliubov gap equation is an arbitrary, positive continuous function and need not be a constant.
 Publication:

Scientific Reports
 Pub Date:
 August 2021
 DOI:
 10.1038/s4159802195322x
 arXiv:
 arXiv:2109.03868
 Bibcode:
 2021NatSR..1115983W
 Keywords:

 Mathematical Physics;
 Condensed Matter  Superconductivity;
 45G10;
 47H10;
 47N50;
 82D55
 EPrint:
 9 pages