The external field dependence of the BCS critical temperature

R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.


Journal Article | Published | English
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Abstract
We consider the Bardeen–Cooper–Schrieffer free energy functional for particles interacting via a two-body potential on a microscopic scale and in the presence of weak external fields varying on a macroscopic scale. We study the influence of the external fields on the critical temperature. We show that in the limit where the ratio between the microscopic and macroscopic scale tends to zero, the next to leading order of the critical temperature is determined by the lowest eigenvalue of the linearization of the Ginzburg–Landau equation.
Publishing Year
Date Published
2016-02-01
Journal Title
Communications in Mathematical Physics
Acknowledgement
The authors are grateful to I. M. Sigal for useful discussions. Financial support from the US National Science Foundation through Grants PHY-1347399 and DMS-1363432 (R.L.F.), from the Danish council for independent research and from ERC Advanced Grant 321029 (J.P.S.) is acknowledged.
Volume
342
Issue
1
Page
189 - 216
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Cite this

Frank R, Hainzl C, Seiringer R, Solovej J. The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. 2016;342(1):189-216. doi:10.1007/s00220-015-2526-2
Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2016). The external field dependence of the BCS critical temperature. Communications in Mathematical Physics, 342(1), 189–216. https://doi.org/10.1007/s00220-015-2526-2
Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics 342, no. 1 (2016): 189–216. https://doi.org/10.1007/s00220-015-2526-2.
R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “The external field dependence of the BCS critical temperature,” Communications in Mathematical Physics, vol. 342, no. 1, pp. 189–216, 2016.
Frank R, Hainzl C, Seiringer R, Solovej J. 2016. The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. 342(1), 189–216.
Frank, Rupert, et al. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics, vol. 342, no. 1, Springer, 2016, pp. 189–216, doi:10.1007/s00220-015-2526-2.

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