English

Interacting Electrons in Quantum Dots

Condensed Matter 2009-11-07 v1

Abstract

The ground states of N-electron parabolic quantum dots in the presence of a perpendicular magnetic field are investigated. Rigorous lower bounds to the ground-state energies are obtained. It is shown that our lower bounds agree well with the results of exact diagonalization. Analytic results for the lower bounds to the ground-state energies of the quantum dots in a strong magnetic field (known as electron molecule) agree very well with numerically calculated lower bounds.

Keywords

Cite

@article{arxiv.cond-mat/0109130,
  title  = {Interacting Electrons in Quantum Dots},
  author = {Yeong E. Kim and Alexander L. Zubarev},
  journal= {arXiv preprint arXiv:cond-mat/0109130},
  year   = {2009}
}

Comments

12 pages, 2 tables. Phys. Lett. A (accepted)