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Random magnetic impurities and the Landau problem
Nuclear Physics B
The 2-dimensional density of states of an electron is studied for a Poissonian random distribution of point vortices carrying α flux in unit of the quantum of flux. It is shown that, for any given density of impurities, there is a transition, when α≃ 0.3-0.4, from an "almost free" density of state -with only a depletion of states at the bottom of the spectrum characterized by a Lifschitz tail- to a Landau density of state with sharp Landau level oscillations. Several evidences and arguments fordoi:10.1016/0550-3213(95)00478-b fatcat:3youiyrqsvawdp7lvglsg24jzu