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

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

1999-12-06

arxiv.org/abs/cond-mat/9912088v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages

Scientific paper

10.1007/s100510070061

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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