Interacting electrons in polygonal quantum dots
介观与纳米尺度物理
2009-10-31 v1
摘要
The low-lying eigenstates of a system of two electrons confined within a two-dimensional quantum dot with a hard polygonal boundary are obtained by means of exact diagonalization. The transition from a weakly correlated charge distribution for small dots to a strongly correlated "Wigner molecule" for large dots is studied, and the behaviour at the crossover is determined. In sufficiently large dots, a recently proposed mapping to an effective charge-spin model is investigated, and is found to produce the correct ordering of the energy levels and to give a good first approximation to the size of the level spacings. We conclude that this approach is a valuable method to obtain the low energy spectrum of few-electron quantum dots.
引用
@article{arxiv.cond-mat/9810096,
title = {Interacting electrons in polygonal quantum dots},
author = {C E Creffield and Wolfgang Haeusler and J H Jefferson and Sarben Sarkar},
journal= {arXiv preprint arXiv:cond-mat/9810096},
year = {2009}
}