article
The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties
published
yes
Christian
Hainzl
author
Robert
Seiringer
author 4AFD0470-F248-11E8-B48F-1D18A9856A870000-0002-6781-0521
RoSe
department
We review recent results concerning the mathematical properties of the Bardeen-Cooper-Schrieffer (BCS) functional of superconductivity, which were obtained in a series of papers, partly in collaboration with R. Frank, E. Hamza, S. Naboko, and J. P. Solovej. Our discussion includes, in particular, an investigation of the critical temperature for a general class of interaction potentials, as well as a study of its dependence on external fields. We shall explain how the Ginzburg-Landau model can be derived from the BCS theory in a suitable parameter regime.
American Institute of Physics2016
eng
Journal of Mathematical Physics10.1063/1.4941723
572
C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
Hainzl, C., & Seiringer, R. (2016). The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. <i>Journal of Mathematical Physics</i>, <i>57</i>(2). <a href="https://doi.org/10.1063/1.4941723">https://doi.org/10.1063/1.4941723</a>
Hainzl C, Seiringer R. 2016. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 57(2), 021101.
C. Hainzl and R. Seiringer, “The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties,” <i>Journal of Mathematical Physics</i>, vol. 57, no. 2, 2016.
Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” <i>Journal of Mathematical Physics</i>, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:<a href="https://doi.org/10.1063/1.4941723">10.1063/1.4941723</a>.
Hainzl C, Seiringer R. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. <i>Journal of Mathematical Physics</i>. 2016;57(2). doi:<a href="https://doi.org/10.1063/1.4941723">10.1063/1.4941723</a>
Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” <i>Journal of Mathematical Physics</i> 57, no. 2 (2016). <a href="https://doi.org/10.1063/1.4941723">https://doi.org/10.1063/1.4941723</a>.
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