28 citations · 56 across the 6 of their papers we have counts for
5 papers · 1 filter
Enhanced Superconductivity at a Corner for the Linear BCS Equation
Barbara Roos, Robert Seiringer
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…
BCS Critical Temperature on Half-Spaces
Barbara Roos, Robert Seiringer
We study the BCS critical temperature on half-spaces in dimensions with Dirichlet or Neumann boundary conditions. We prove that the critical temperature on a half-space i…
Universality in low-dimensional BCS theory
Joscha Henheik, Asbjørn Bækgaard Lauritsen, Barbara Roos
It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature and the critical temperature is (approximately) given by a universal consta…
Boundary Superconductivity in the BCS Model
Christian Hainzl, Barbara Roos, Robert Seiringer
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-dimensiona…
Two-Particle Bound States at Interfaces and Corners
Barbara Roos, Robert Seiringer
We study two interacting quantum particles forming a bound state in -dimensional free space, and constrain the particles in directions to $(0,\infty)^k \times \mathbb{R}^{d-…