Optical absorption and addition spectra of an N-electron quantum dot: An algebraic Hamiltonian approach

R. W. Haase, N. F. Johnson

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We calculate analytically the energies of a class of N-electron quantum dots employing a recently introduced symplectic-group chain. The corresponding algebraic Hamiltonians lie beyond the N-electron Fock-Darwin Hamiltonian which only describes noninteracting particles in a perfect parabolic confining potential. Nonparabolicity and particle-particle interactions are simulated using quadratic Casimir operators within the symplectic-group chain. We calculate infrared optical absorption energies as a function of magnetic field, and analyze the breakdown of the generalized Kohn theorem. We also calculate the addition spectra associated with transport through the N-electron quantum dot.

Original languageEnglish (US)
Pages (from-to)14409-14417
Number of pages9
JournalPhysical Review B
Volume49
Issue number20
DOIs
StatePublished - Jan 1 1994

ASJC Scopus subject areas

  • Condensed Matter Physics

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