Abstract
The physical symmetries of an N-electron gas in a d-dimensional quantum dot are studied. The symplectic group framework is used to discuss the dynamical modes of the system and to classify the N-electron states including spin. We focus on the results for a few-electron (N≤12) dot in d=2 dimensions. For N<4 electrons the types of configurations appearing are strongly N dependent. The allowed configurations for N<4 are also highly restricted compared to those for N≥4. These findings suggest that results of few-electron (N<4) cluster calculations may have limited applicability to large-N systems.
- Received 1 March 1993
DOI:https://doi.org/10.1103/PhysRevB.48.1583
©1993 American Physical Society