BCS Critical Temperature on Half-Spaces

2023/06/09 by Barbara Roos, Robert Seiringer, Roos, Barbara +1 · 1 citation
Mathematics · Physics and Astronomy · #81Q10 (Primary) 82D55 (Secondary) #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #Stochastic processes and statistical mechanics #Superconductivity (cond-mat.supr-con) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2306.05824

openalex publication_date 2023/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ℝ^d, 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.

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