An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature
نویسندگان
چکیده
In the preceding papers present author gave another proof of existence and uniqueness solution to BCS-Bogoliubov gap equation for superconductivity from viewpoint operator theory, showed that is partially differentiable with respect temperature twice. Thanks these results, we can indeed differentiate thermodynamic potential twice so as obtain entropy specific heat at constant volume a superconductor. this paper show behavior near absolute zero thus-obtained entropy, heat, critical magnetic field theory since did not study it in papers. Here, an arbitrary, positive continuous function need be constant.
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Mathematical Analysis of the BCS-Bogoliubov Theory
Superconductivity is one of the historical landmarks in condensed matter physics. Since Onnes found out the fact that the electrical resistivity of mercury drops to zero below the temperature 4.2K in 1911, the zero electrical resistivity is observed in many metals and alloys. Such a phenomenon is called superconductivity, and the magnetic properties of superconductors as well as their electric ...
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ژورنال
عنوان ژورنال: Scientific Reports
سال: 2021
ISSN: ['2045-2322']
DOI: https://doi.org/10.1038/s41598-021-95322-x