Classification of N-electron states in a quantum dot

R. W. Haase, N. F. Johnson

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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 (N12) 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 N4. These findings suggest that results of few-electron (N<4) cluster calculations may have limited applicability to large-N systems.

Original languageEnglish (US)
Pages (from-to)1583-1594
Number of pages12
JournalPhysical Review B
Issue number3
StatePublished - 1993

ASJC Scopus subject areas

  • Condensed Matter Physics


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