Random Magnetic Impurities and the Landau Problem

Details Random Magnetic Impurities and the Landau Problem Random Magnetic Impurities and the Landau Problem

1995-09-18

arxiv.org/abs/cond-mat/9509105v1

Physics

Condensed Matter

22 pages, latex, 4 figures upon request

Scientific paper

10.1016/0550-3213(95)00478-B

The 2-dimensional density of states of an electron is studied for a Poissonian random distribution of point vortices carrying $\alpha$ flux in unit of the quantum of flux. It is shown that, for any given density of impurities, there is a transition, when $\alpha\simeq 0.3-0.4$, 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 for this transition -numerical and analytical- are presented.

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