@article{14662,
  abstract     = {We consider a class of polaron models, including the Fröhlich model, at zero total
momentum, and show that at sufficiently weak coupling there are no excited eigenvalues below
the essential spectrum.},
  author       = {Seiringer, Robert},
  issn         = {1664-0403},
  journal      = {Journal of Spectral Theory},
  number       = {3},
  pages        = {1045--1055},
  publisher    = {EMS Press},
  title        = {{Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling}},
  doi          = {10.4171/JST/469},
  volume       = {13},
  year         = {2023},
}

@article{13207,
  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.},
  author       = {Hainzl, Christian and Roos, Barbara and Seiringer, Robert},
  issn         = {1664-0403},
  journal      = {Journal of Spectral Theory},
  number       = {4},
  pages        = {1507–1540},
  publisher    = {EMS Press},
  title        = {{Boundary superconductivity in the BCS model}},
  doi          = {10.4171/JST/439},
  volume       = {12},
  year         = {2023},
}