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- W4376866921 abstract "We consider the linear BCS equation, determining the BCS critical temperature, in the presence of a boundary, where Dirichlet boundary conditions are imposed. In the one-dimensional case with point interactions, we prove that the critical temperature is strictly larger than the bulk value, at least at weak coupling. In particular, the Cooper-pair wave function localizes near the boundary, an effect that cannot be modeled by effective Neumann boundary conditions on the order parameter as often imposed in Ginzburg–Landau theory. We also show that the relative shift in critical temperature vanishes if the coupling constant either goes to zero or to infinity." @default.
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- W4376866921 date "2023-05-17" @default.
- W4376866921 modified "2023-10-01" @default.
- W4376866921 title "Boundary superconductivity in the BCS Model" @default.
- W4376866921 doi "https://doi.org/10.4171/jst/439" @default.
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