Size effects in the exchange coupling between two electrons in quantum wire quantum dots

Details Size effects in the exchange coupling between two electrons in quantum wire quantum dots Size effects in the exchange coupling between two electrons in quantum wire quantum dots

2007-10-29

arxiv.org/abs/0710.5538v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 8 figures

Scientific paper

10.1103/PhysRevB.78.035418

We theoretically investigate the properties of a two-electron system confined in the three-dimensional potential of coupled quantum dots formed in a quantum wire. For this purpose, we implement a variational Heitler-London method that minimize the system energies with respect to variational parameters in electron trial wavefunctions. We find that tunneling and exchange couplings exponentially decay with increasing inter-dot distance and inter-dot barrier height. In the quasi-one-dimensional limit achieved by reducing the wire diameter, we find that the overlap between the dots decreases, which results in a drop of the exchange coupling. We also discuss the validity of our variational Heitler-London method with respect to the model potential parameters, and compare our results with available experimental data to find good agreement between the two approaches.

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