Electronic Processes at the Breakdown of the Quantum Hall Effect

Details Electronic Processes at the Breakdown of the Quantum Hall Effect Electronic Processes at the Breakdown of the Quantum Hall Effect

2000-06-30

arxiv.org/abs/cond-mat/0006482v1

J. Phys. Soc. Jpn. 69, 3174 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 Postscript figures, submitted to the Journal of the Physical Society of Japan

Scientific paper

10.1143/JPSJ.69.3174

Microscopic processes giving the energy gain and loss of a two-dimensional electron system in long-range potential fluctuations are studied theoretically at the breakdown of the quantum Hall effect in the case of even-integer filling factors. The Coulomb scattering within a broadened Landau level is proposed to give the gain, while the phonon scattering to give the loss. The energy balance equation shows that the electron temperature T_e and the diagonal conductivity sigma_{xx} exhibit a bistability above the lower critical electric field E_{c1}. Calculated values of E_{c1} as well as T_e and sigma_{xx} at E_{c1} are in agreement with the observed values in their orders of magnitude.

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