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VLSI Design
Volume 13 (2001), Issue 1-4, Pages 237-244
http://dx.doi.org/10.1155/2001/41084

A Simple Model for the Quantum Hydrodynamic Simulation of Electron Transport in Quantum Confined Structures in the Presence of Vortices

Nanoelectronics Research Centre, Department of Electronics and Electrical Engineering, University of Glasgow, Glasgow G12 8LT, Scotland

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

It is demonstrated that the ballistic quantum transport properties of an open quantum dot may be described by an ensemble of spatially correlated virtual classical particles moving within self-avoiding strings. The string paths correspond to ray trajectories. The strings exhibit the necessary properties of self-avoidance, interference and the non-local condition mv · dr=nh. The formalism suggests that numerical simulation of quantum flows may be constructed ab initio by using the string representation.