The effect of sample properties on the electron velocity in quantum Hall bars

Abstract

We report on our theoretical investigation of the effects of the confining potential profile and sample size on the electron velocity distribution in (narrow) quantum-Hall systems. 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 at the Fermi level and within the incompressible strips (ISs). We compare our findings with the recent experiments.

8 pages, 6 figures

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Cited by in corpus (6)

• Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime
• Scanning Gate Spectroscopy of transport across a Quantum Hall Nano-Island
• Theoretical investigation of the electron velocity in quantum Hall bars, in the out of linear response regime
• Formation of spin droplet at nu = 5/2 in an asymmetric quantum dot under quantum Hall conditions
• The visibility of IQHE at sharp edges: Experimental proposals based on interactions and edge electrostatics
• Distribution of an Ohmic current in the close vicinity of a quantum point contact