Enhanced superconductivity at a corner for the linear BCS equation

Roos, Barbara; Seiringer, Robert

Enhanced superconductivity at a corner for the linear BCS equation

Roos B, Seiringer R. 2025. Enhanced superconductivity at a corner for the linear BCS equation. Forum of Mathematics, Sigma. 13, e71.

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DOI

10.1017/fms.2024.145

Journal Article | Published | English

Scopus indexed

Author

Roos, Barbara^ISTA ; Seiringer, Robert^ISTA

Corresponding author has ISTA affiliation

Department

Seiringer Group

Grant

Mathematical Challenges in BCS Theory of Superconductivity

Abstract

We consider the critical temperature for superconductivity, defined via the linear BCS equation. We prove that at weak coupling the critical temperature for a sample confined to a quadrant in two dimensions is strictly larger than the one for a half-space, which in turn is strictly larger than the one for R^2. Furthermore, we prove that the relative difference of the critical temperatures vanishes in the weak coupling limit.

Publishing Year

2025

Date Published

2025-04-14

Journal Title

Forum of Mathematics, Sigma

Publisher

Cambridge University Press

Volume

Article Number

e71

eISSN

2050-5094

IST-REx-ID

19628

Cite this

Roos B, Seiringer R. Enhanced superconductivity at a corner for the linear BCS equation. Forum of Mathematics, Sigma. 2025;13. doi:10.1017/fms.2024.145

Roos, B., & Seiringer, R. (2025). Enhanced superconductivity at a corner for the linear BCS equation. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2024.145

Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner for the Linear BCS Equation.” Forum of Mathematics, Sigma. Cambridge University Press, 2025. https://doi.org/10.1017/fms.2024.145.

B. Roos and R. Seiringer, “Enhanced superconductivity at a corner for the linear BCS equation,” Forum of Mathematics, Sigma, vol. 13. Cambridge University Press, 2025.

Roos B, Seiringer R. 2025. Enhanced superconductivity at a corner for the linear BCS equation. Forum of Mathematics, Sigma. 13, e71.

Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner for the Linear BCS Equation.” Forum of Mathematics, Sigma, vol. 13, e71, Cambridge University Press, 2025, doi:10.1017/fms.2024.145.

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