Lifshitz-like argument for low-lying states in a strong magnetic field

C. Furtlehner

doi:10.1007/s100510070061

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Lifshitz-like argument for low-lying states in a strong magnetic field

C. Furtlehner

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Abstract

We propose a Lifshitz argument in order to analyse the low energy spectrum of an electron moving in a strong magnetic field and scattered by randomly distributed repulsive zero-range impurities. The typical configurations of disorder which give rise to low energy states are identified as clusters of impurities. This allows for an interpretation of low-lying states localized around these clusters.

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C. Furtlehner. 1999-12-06. Lifshitz-like argument for low-lying states in a strong magnetic field. https://doi.org/10.1007/s100510070061

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