article Enhanced superconductivity at a corner for the linear BCS equation published yes Barbara Roos author 5DA90512-D80F-11E9-8994-2E2EE66974250000-0002-9071-5880 Robert Seiringer author 4AFD0470-F248-11E8-B48F-1D18A9856A870000-0002-6781-0521 RoSe department Mathematical Challenges in BCS Theory of Superconductivity project 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. https://research-explorer.ista.ac.at/download/19628/19651/2025_ForumMathSigma_Roos.pdf application/pdfno Cambridge University Press2025 eng Forum of Mathematics, Sigma 2050-5094 2308.07115 00146598550000110.1017/fms.2024.145 13 Roos B, Seiringer R. Enhanced superconductivity at a corner for the linear BCS equation. <i>Forum of Mathematics, Sigma</i>. 2025;13. doi:<a href="https://doi.org/10.1017/fms.2024.145">10.1017/fms.2024.145</a> B. Roos, R. Seiringer, Forum of Mathematics, Sigma 13 (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.” <i>Forum of Mathematics, Sigma</i>, vol. 13, e71, Cambridge University Press, 2025, doi:<a href="https://doi.org/10.1017/fms.2024.145">10.1017/fms.2024.145</a>. B. Roos and R. Seiringer, “Enhanced superconductivity at a corner for the linear BCS equation,” <i>Forum of Mathematics, Sigma</i>, vol. 13. Cambridge University Press, 2025. Roos, B., &#38; Seiringer, R. (2025). Enhanced superconductivity at a corner for the linear BCS equation. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href="https://doi.org/10.1017/fms.2024.145">https://doi.org/10.1017/fms.2024.145</a> Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner for the Linear BCS Equation.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2025. <a href="https://doi.org/10.1017/fms.2024.145">https://doi.org/10.1017/fms.2024.145</a>. 196282025-04-27T22:02:14Z2025-09-30T12:20:22Z