Theoretical investigation of the electron velocity in quantum Hall bars, in the out of linear response regime

Abstract

We report on our theoretical investigation of the electron velocity in (narrow) quantum-Hall systems, considering the out-of-linear-response regime. The electrostatic properties of the electron system are obtained by the Thomas-Fermi-Poisson nonlinear screening theory. The electron velocity distribution as a function of the lateral coordinate is obtained from the slope of the screened potential within the incompressible strips (ISs). The asymmetry induced by the imposed current on the ISs is investigated, as a function of the current intensity and impurity concentration. We find that the width of the IS on one side of the sample increases linearly with the intensity of the applied current and decreases with the impurity concentration.

arXiv comment6 pages, 2 figures

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• Self-consistent local-equilibrium model for density profile and distribution of dissipative currents in a Hall bar under strong magnetic fields
• The effect of sample properties on the electron velocity in quantum Hall bars
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Cited by in corpus (4)

• Asymmetric non-linear response of the IQHE
• Screening model of metallic non-ideal contacts at integer quantized Hall regime
• The current polarization rectification of the integer quantized Hall effect
• Theoretical investigation of thermostability of incompressible channels in quantum Hall states