BCS critical temperature on half-spaces
Roos B, Seiringer R. 2025. BCS critical temperature on half-spaces. Archive for Rational Mechanics and Analysis. 249, 20.
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Abstract
We study the BCS critical temperature on half-spaces in dimensions d =1, 2, 3 with Dirichlet or Neumann boundary conditions. We prove that the critical temperature on a half-space is strictly higher than on Rd, at least at weak coupling in d = 1, 2 and weak coupling and small chemical potential in d = 3. Furthermore, we show that the relative shift in critical temperature vanishes in the weak coupling limit.
Publishing Year
Date Published
2025-04-01
Journal Title
Archive for Rational Mechanics and Analysis
Publisher
Springer Nature
Acknowledgement
Open access funding provided by Institute of Science and Technology (IST Austria). Financial support by the Austrian Science Fund (FWF) through project number I 6427-N (as part of the SFB/TRR 352) is gratefully acknowledged.
Volume
249
Article Number
20
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eISSN
IST-REx-ID
Cite this
Roos B, Seiringer R. BCS critical temperature on half-spaces. Archive for Rational Mechanics and Analysis. 2025;249. doi:10.1007/s00205-025-02088-x
Roos, B., & Seiringer, R. (2025). BCS critical temperature on half-spaces. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-025-02088-x
Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.” Archive for Rational Mechanics and Analysis. Springer Nature, 2025. https://doi.org/10.1007/s00205-025-02088-x.
B. Roos and R. Seiringer, “BCS critical temperature on half-spaces,” Archive for Rational Mechanics and Analysis, vol. 249. Springer Nature, 2025.
Roos B, Seiringer R. 2025. BCS critical temperature on half-spaces. Archive for Rational Mechanics and Analysis. 249, 20.
Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.” Archive for Rational Mechanics and Analysis, vol. 249, 20, Springer Nature, 2025, doi:10.1007/s00205-025-02088-x.
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