An operator-theoretical study on the BCS-Bogoliubov 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 BCS-Bogoliubov gap equation for superconductivity from the viewpoint of operator theory, and showed that the solution is partially differentiable with respect to the temperat...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Shuji Watanabe
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/3c6078a168684e79881349e84de08972
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:3c6078a168684e79881349e84de08972
record_format	dspace
spelling	oai:doaj.org-article:3c6078a168684e79881349e84de089722021-12-02T16:35:28ZAn operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature10.1038/s41598-021-95322-x2045-2322https://doaj.org/article/3c6078a168684e79881349e84de089722021-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-95322-xhttps://doaj.org/toc/2045-2322Abstract In the preceding papers the present author gave another proof of the existence and uniqueness of the solution to the BCS-Bogoliubov 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 thus-obtained 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 BCS-Bogoliubov gap equation is an arbitrary, positive continuous function and need not be a constant.Shuji WatanabeNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Shuji Watanabe An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature
description	Abstract In the preceding papers the present author gave another proof of the existence and uniqueness of the solution to the BCS-Bogoliubov 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 thus-obtained 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 BCS-Bogoliubov gap equation is an arbitrary, positive continuous function and need not be a constant.
format	article
author	Shuji Watanabe
author_facet	Shuji Watanabe
author_sort	Shuji Watanabe
title	An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature
title_short	An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature
title_full	An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature
title_fullStr	An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature
title_full_unstemmed	An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature
title_sort	operator-theoretical study on the bcs-bogoliubov model of superconductivity near absolute zero temperature
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/3c6078a168684e79881349e84de08972
work_keys_str_mv	AT shujiwatanabe anoperatortheoreticalstudyonthebcsbogoliubovmodelofsuperconductivitynearabsolutezerotemperature AT shujiwatanabe operatortheoreticalstudyonthebcsbogoliubovmodelofsuperconductivitynearabsolutezerotemperature
_version_	1718383685185568768

An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature

Ejemplares similares