Collective modes in quantum-dot arrays in magnetic fields

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

Research output: Contribution to journalArticle

22 Scopus citations

Abstract

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
Volume42
Issue number18
DOIs
StatePublished - Jan 1 1990

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ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Dempsey, J., Johnson, N. F., Brey, L., & Halperin, B. I. (1990). Collective modes in quantum-dot arrays in magnetic fields. Physical Review B, 42(18), 11708-11713. https://doi.org/10.1103/PhysRevB.42.11708