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Random Magnetic Impurities and the Landau Problem

Jean Desbois·Cyril Furtlehner·Stéphane Ouvry
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Abstract

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 $α\simeq 0.3-0.4$, 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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Jean Desbois, Cyril Furtlehner, Stéphane Ouvry. 1995-09-18. Random Magnetic Impurities and the Landau Problem. https://doi.org/10.1016/0550-3213(95)00478-b

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