Using molecular dynamics simulation, we investigate transport properties of a classical two-dimensional electron system confined in a microchannel with a narrow constriction. As a function of the confinement strength of the constriction, the calculated conductance in the simulations exhibits steplike increases as reported in a recent experiment [D. G. Rees et al., Phys. Rev. Lett. 106, 026803 (2011)]. It is confirmed that the number of the steps corresponds to the number of stream lines of electrons through the constriction. We verify that density fluctuation plays a major role in smoothing the steps in the conductance.
@article{arxiv.1104.4854,
title = {Steplike electric conduction in a classical two-dimensional electron system through a narrow constriction in a microchannel},
author = {Moto Araki and Hisao Hayakawa},
journal= {arXiv preprint arXiv:1104.4854},
year = {2012}
}