Localization length at the conductivity minima of the quantum Hall effect

M. M. Fogler, A. Yu Dobin, B. I. Shklovskii

Research output: Contribution to journalArticlepeer-review


The quantum localization is known to be responsible for the deep conductivity minima of the quantum Hall effect. In this paper we calculate the localization length ξ as a function of magnetic field B at such minima for several models of disorder ("white-noise", short-range, and long-range random potentials). We find that ξ ∝ B-α with the exponent α between one and 10/3, depending on the model. In particular, for the "white-noise" random potential ξ roughly coincides with the classical cyclotron radius. Our results are in agreement with available experimental data.

Original languageEnglish (US)
Pages (from-to)132-134
Number of pages3
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Issue number1-4
StatePublished - Jan 19 1997


  • Localization
  • Quantum Hall effect
  • Weak magnetic field

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