Configuration interaction method for Fock-Darwin states
Abstract
We present a configuration interaction method optimized for Fock-Darwin states of two-dimensional quantum dots with an axially symmetric, parabolic confinement potential subject to a perpendicular magnetic field. The optimization explicitly accounts for geometrical and dynamical symmetries of the Fock-Darwin single-particle states and for many-particle symmetries associated with the center-of-mass motion and with the total spin. This results in a basis set of reduced size and improved accuracy. The numerical results compare well with the quantum Monte Carlo and stochastic variational methods. The method is illustrated by the evolution of a strongly correlated few-electron droplet in a magnetic field in the regime of the fractional quantum Hall effect.
Cite
@article{arxiv.cond-mat/0304275,
title = {Configuration interaction method for Fock-Darwin states},
author = {Andreas Wensauer and Marek Korkusinski and Pawel Hawrylak},
journal= {arXiv preprint arXiv:cond-mat/0304275},
year = {2009}
}
Comments
17 pages, 3 figures, ReVTeX4, submitted to Solid State Communications