# Another operator-theoretical proof for the second-order phase transition in the BCS-Bogoliubov model of superconductivity

@article{Watanabe2016AnotherOP, title={Another operator-theoretical proof for the second-order phase transition in the BCS-Bogoliubov model of superconductivity}, author={Shuji Watanabe}, journal={Scientific Reports}, year={2016}, volume={12} }

In the preceding papers, imposing certain complicated and strong conditions, the present author showed that the solution to the BCS-Bogoliubov gap equation in superconductivity is twice differentiable only on the neighborhoods of absolute zero temperature and the transition temperature so as to show that the phase transition is of the second order from the viewpoint of operator theory. Instead, we impose a certain simple and weak condition in this paper, and show that there is a unique…

## 2 Citations

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

- PhysicsScientific reports
- 2021

The behavior near absolute zero temperature of the thus-obtained entropy, the specific heat, the solution and the critical magnetic field is shown from the viewpoint of operator theory since the present author did not study it in the preceding papers.

### An operator-theoretical study of the specific heat and the critical magnetic field in the BCS-Bogoliubov model of superconductivity

- PhysicsScientific Reports
- 2020

This paper studies the temperature dependence of the specific heat and the critical magnetic field in the BCS-Bogoliubov model of superconductivity from the viewpoint of operator theory and shows that thecritical magnetic field does not depend on superconductors and is a universal constant.

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