article
The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties
published
yes
Christian
Hainzl
author
Robert
Seiringer
author 4AFD0470-F248-11E8-B48F-1D18A9856A87
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
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>
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. 2016. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 57(2).
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, 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>.
C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
14862018-12-11T11:52:18Z2019-01-24T13:02:55Z