@article{2735,
  abstract     = {We establish the exact low-energy asymptotics of the integrated density of states (Lifschitz tail) in a homogeneous magnetic field and Poissonian impurities with a repulsive single-site potential of Gaussian decay. It has been known that the Gaussian potential tail discriminates between the so-called “classical” and “quantum” regimes, and precise asymptotics are known in these cases. For the borderline case, the coexistence of the classical and quantum regimes was conjectured. Here we settle this last remaining open case to complete the full picture of the magnetic Lifschitz tails.},
  author       = {Erdös, László},
  issn         = {0044-3719},
  journal      = {Probability Theory and Related Fields},
  number       = {2},
  pages        = {219 -- 236},
  publisher    = {Springer},
  title        = {{Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case}},
  doi          = {10.1007/PL00008803},
  volume       = {121},
  year         = {2001},
}

@article{2728,
  abstract     = {We obtain the Lifschitz tail, i.e. the exact low energy asymptotics of the integrated density of states (IDS) of the two-dimensional magnetic Schrödinger operator with a uniform magnetic field and random Poissonian impurities. The single site potential is repulsive and it has a finite but nonzero range. We show that the IDS is a continuous function of the energy at the bottom of the spectrum. This result complements the earlier (nonrigorous) calculations by Brézin, Gross and Itzykson which predict that the IDS is discontinuous at the bottom of the spectrum for zero range (Dirac delta) impurities at low density. We also elucidate the reason behind this apparent controversy. Our methods involve magnetic localization techniques (both in space and energy) in addition to a modified version of the "enlargement of obstacles" method developed by A.-S. Sznitman.},
  author       = {Erdös, László},
  issn         = {0044-3719},
  journal      = {Probability Theory and Related Fields},
  number       = {3},
  pages        = {321 -- 371},
  publisher    = {Springer},
  title        = {{Lifschitz tail in a magnetic field: The nonclassical regime}},
  doi          = {10.1007/s004400050193},
  volume       = {112},
  year         = {1998},
}