Electronic Processes at the Breakdown of the Quantum Hall Effect

Abstract

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.

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

References in corpus (2)

• Field-induced breakdown of the quantum Hall effect
• Theory of Current-Induced Breakdown of the Quantum Hall Effect

Cited by in corpus (8)

• Self-consistent local-equilibrium model for density profile and distribution of dissipative currents in a Hall bar under strong magnetic fields
• Hydrodynamic Equations in Quantum Hall Systems at Large Currents
• Breakdown of the integer and fractional quantum Hall states in a quantum point contact
• Thermohydrodynamics in Quantum Hall Systems
• Screening model of metallic non-ideal contacts at integer quantized Hall regime
• Hydrodynamic Equation for the Breakdown of the Quantum Hall Effect in a Uniform Current
• Theoretical Investigation of Local Electron Temperature in Quantum Hall Systems
• The local nature of incompressibility at quantised Hall effect modified by interactions