Electronic Structures of Quantum Dots and the Ultimate Resolution of Integers
Abstract
The orbital angular momentum L as an integer can be ultimately factorized as a product of prime numbers. We show here a close relation between the resolution of L and the classification of quantum states of an N-electron 2-dimensional system. In this scheme, the states are in essence classified into different types according to the m(k)-accessibility, namely the ability to get access to symmetric geometric configurations. The m(k)-accessibility is an universal concept underlying all kinds of 2-dimensional systems with a center. Numerical calculations have been performed to reveal the electronic structures of the states of the dots with 9 and 19 electrons,respectively. This paper supports the Laughlin wave finction and the composite fermion model from the aspect of symmetry.
Keywords
Cite
@article{arxiv.cond-mat/0104133,
title = {Electronic Structures of Quantum Dots and the Ultimate Resolution of Integers},
author = {C. G. Bao and Y. Z. He and G. M. Huang},
journal= {arXiv preprint arXiv:cond-mat/0104133},
year = {2007}
}
Comments
Two figures