TY - JOUR
AB - 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 Ginzburgâ€“Landau theory. We also show that the relative shift in critical temperature vanishes if the coupling constant either goes to zero or to infinity.
AU - Hainzl, Christian
AU - Roos, Barbara
AU - Seiringer, Robert
ID - 13207
IS - 4
JF - Journal of Spectral Theory
SN - 1664-039X
TI - Boundary superconductivity in the BCS model
VL - 12
ER -