On transport in quantum Hall systems with constrictions

Details On transport in quantum Hall systems with constrictions On transport in quantum Hall systems with constrictions

2006-11-08

arxiv.org/abs/cond-mat/0611218v1

Europhysics Letters, Vol. 80, 17003 (2007).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1209/0295-5075/80/17003

Motivated by recent experimental findings, we study transport in a simple phenomenological model of a quantum Hall edge system with a gate-voltage controlled constriction lowering the local filling factor. The current backscattered from the constriction is seen to arise from the matching of the properties of the edge-current excitations in the constriction ($\nu_{2}$) and bulk ($\nu_{1}$) regions. We develop a hydrodynamic theory for bosonic edge modes inspired by this model, finding that a competition between two tunneling process, related by a quasiparticle-quasihole symmetry, determines the fate of the low-bias transmission conductance. In this way, we find satisfactory explanations for many recent puzzling experimental results.

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