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- W3100656908 abstract "We consider a single band approximation to the random Schrödinger operator in an external magnetic field. The spectrum of such an operator has been characterized in the case where delta impurities are located on the sites of a lattice. In this paper we generalize these results by letting the delta impurities have random positions as well as strengths; they are located in squares of a lattice with a general bounded distribution. We characterize the entire spectrum of this operator when the magnetic field is sufficiently high. We show that the whole spectrum is pure point, the energy coinciding with the first Landau level is infinitely degenerate, and that the eigenfunctions corresponding to other Landau band energies are exponentially localized." @default.
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- W3100656908 date "2000-05-01" @default.
- W3100656908 modified "2023-10-18" @default.
- W3100656908 title "The spectrum of a magnetic Schrödinger operator with randomly located delta impurities" @default.
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- W3100656908 doi "https://doi.org/10.1063/1.533272" @default.
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