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Metal-insulator transitions between quantum Hall plateaus

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  • Zhao, Hui Lin
  • Feng, Shechao

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.

Suggested Citation

  • Zhao, Hui Lin & Feng, Shechao, 1993. "Metal-insulator transitions between quantum Hall plateaus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 443-451.
    • Handle: RePEc:eee:phsmap:v:200:y:1993:i:1:p:443-451
    DOI: 10.1016/0378-4371(93)90545-F
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    1. Morse, D.L. & Pickard, L.K. & Guzewich, J.J. & Devine, B.D. & Shayegani, M., 1990. "Garlic-in-oil associated botulism: Episode leads to product modification," American Journal of Public Health, American Public Health Association, vol. 80(11), pages 1372-1373.
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