Lifshitz-like argument for low-lying states in a strong magnetic field
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...
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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.cond-mat/9912088 |