@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},
}

@article{10879,
  abstract     = {We study effects of a bounded and compactly supported perturbation on multidimensional continuum random Schrödinger operators in the region of complete localisation. Our main emphasis is on Anderson orthogonality for random Schrödinger operators. Among others, we prove that Anderson orthogonality does occur for Fermi energies in the region of complete localisation with a non-zero probability. This partially confirms recent non-rigorous findings [V. Khemani et al., Nature Phys. 11 (2015), 560–565]. The spectral shift function plays an important role in our analysis of Anderson orthogonality. We identify it with the index of the corresponding pair of spectral projections and explore the consequences thereof. All our results rely on the main technical estimate of this paper which guarantees separate exponential decay of the disorder-averaged Schatten p-norm of χa(f(H)−f(Hτ))χb in a and b. Here, Hτ is a perturbation of the random Schrödinger operator H, χa is the multiplication operator corresponding to the indicator function of a unit cube centred about a∈Rd, and f is in a suitable class of functions of bounded variation with distributional derivative supported in the region of complete localisation for H.},
  author       = {Dietlein, Adrian M and Gebert, Martin and Müller, Peter},
  issn         = {1664-039X},
  journal      = {Journal of Spectral Theory},
  keywords     = {Random Schrödinger operators, spectral shift function, Anderson orthogonality},
  number       = {3},
  pages        = {921--965},
  publisher    = {European Mathematical Society Publishing House},
  title        = {{Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function}},
  doi          = {10.4171/jst/267},
  volume       = {9},
  year         = {2019},
}