Local current distribution at large quantum dots (QDs): A self-consistent screening model
Date
2008Source Title
Physica E : Low-Dimensional Systems and Nanostructures
Print ISSN
1386-9477
Publisher
Elsevier B.V.
Volume
40
Issue
5
Pages
1142 - 1144
Language
English
Type
ArticleItem Usage Stats
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Abstract
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.
Keywords
Edge statesQuantum dots
Quantum hall effect
Screening
Computation theory
Fermi level
Hall effect
Magnetic fields
Numerical methods
Edge states
Local current distribution
Thomas-Fermi screening theory
Semiconductor quantum dots