Metal-insulator transitions between quantum Hall plateaus

Hui Lin Zhao and Shechao Feng

Physica A: Statistical Mechanics and its Applications, 1993, vol. 200, issue 1, 443-451

Abstract: Metal-insulator transitions between quantum Hall (QHE) plateaus due to inelastic scattering are discussed in a smooth random potential within the framework of semiclassical approximation. Inelastic scattering rates due to both electron-phonon and electron-electron interactions are calculated. The electron-phonon scattering rate is dramatically influenced by a strong magnetic field and is found to be linear in temperature for a wide range of temperatures, corresponding to an effective reduction of the Debye temperature. The electron-electron scattering rate is still proportional to the temperature squared. Applying these results to the temperature scaling exponent κ for the width of the transition region between QHE plateaus, we argue that κ=37 is dictated by the inelastic scattering rate and the percolation length, instead of the localization length.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:200:y:1993:i:1:p:443-451

DOI: 10.1016/0378-4371(93)90545-F

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