Collective modes in quantum-dot arrays in magnetic fields

Jed Dempsey, N. F. Johnson, L. Brey, B. I. Halperin

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


We study collective excitations in a model array of parabolically confined quantum dots in an applied magnetic field. Treating the interactions between electrons on the same dot exactly and those between electrons on different dots in a simple approximation, we find that the Hamiltonian separates into a term involving center-of-mass coordinates of the electrons on each dot and a term that depends on the relative coordinates on each dot. We diagonalize the center-of-mass Hamiltonian exactly and discuss retardation effects and interactions between the array and far-infrared radiation.

Original languageEnglish (US)
Pages (from-to)11708-11713
Number of pages6
JournalPhysical Review B
Issue number18
StatePublished - 1990

ASJC Scopus subject areas

  • Condensed Matter Physics


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