A note on magnetic-field induced level-density condensation in a two-dimensional electron gas with point scatterers
نویسنده
چکیده
The density-of-states (DOS) for a magnetized (B) two-dimensional electron gas (2DEG) containing point scatterers of arbitrary strengths, concentration (ns) and distribution is analyzed. It is shown from the first principles that for ns ≤ B/Φo ≡ nB, the areal density of flux quanta Φo ≡ hc/e, the DOS retains the extensive degeneracy characteristic of the Landau levels, but reduced by a factor (1−ns/nB). This elementary but exact result gives a level condensation for magnetic field B > nsΦo, as first noted by Brézin et al.. Its implications for the Integral Quantum Hall Effect and for Random Matrix Theory are pointed out. PACS: 72.15 Gd, 71.25 Pi, 71.50 + t
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