Localization length at the conductivity minima of the quantum Hall effect

✍ Scribed by M.M. Fogler; A.Yu. Dobin; B.I. Shklovskii

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 75 KB
• Volume: 1
• Category: Article
• ISSN: 1386-9477
• DOI: 10.1016/s1386-9477(97)00030-1

✦ Synopsis

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