Local current distribution at large quantum dots (QDs): a self-consistent screening model

Details Local current distribution at large quantum dots (QDs): a self-consistent screening model Local current distribution at large quantum dots (QDs): a self-consistent screening model

2007-07-09

arxiv.org/abs/0707.1228v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 Pages, 2 Figures

Scientific paper

10.1016/j.physe.2007.08.055

We report the implementation of the self-consistent Thomas-Fermi screening theory, together with the local Ohm's law to a quantum dot system in order to obtain local current distribution within the dot and at the leads. We consider a large dot (size $>700$ nm) defined by split gates, and coupled to the leads. Numerical calculations show that the non-dissipative current is confined to the incompressible strips. Due to the non-linear screening properties of the 2DES at low temperatures, this distribution is highly sensitive to external magnetic field. Our findings support the phenomenological models provided by the experimental studies so far, where the formation of the (direct) edge channels dominate the transport.

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