Electron interactions, classical integrability, and level statistics in quantum dots

Lilia Meza-Montes, Sergio E. Ulloa, Daniela Pfannkuche

Published 1998-09-17Version 1

The role of electronic interactions in the level structure of semiconductor quantum dots is analyzed in terms of the correspondence to the integrability of a classical system that models these structures. We find that an otherwise simple system is made strongly non-integrable in the classical regime by the introduction of particle interactions. In particular we present a two-particle classical system contained in a $d$-dimensional billiard with hard walls. Similarly, a corresponding two-dimensional quantum dot problem with three particles is shown to have interesting spectral properties as function of the interaction strength and applied magnetic fields.