Collective modes in quantum-dot arrays in magnetic fields

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

Research output: Contribution to journalArticle

22 Citations (Scopus)

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 - 1990
Externally publishedYes

Fingerprint

Laser modes
Semiconductor quantum dots
Hamiltonians
quantum dots
Magnetic fields
center of mass
Electrons
magnetic fields
far infrared radiation
electrons
interactions
Infrared radiation
approximation
excitation

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

Collective modes in quantum-dot arrays in magnetic fields. / Dempsey, Jed; Johnson, Neil F; Brey, L.; Halperin, B. I.

In: Physical Review B, Vol. 42, No. 18, 1990, p. 11708-11713.

Research output: Contribution to journalArticle

Dempsey, J, Johnson, NF, Brey, L & Halperin, BI 1990, 'Collective modes in quantum-dot arrays in magnetic fields', Physical Review B, vol. 42, no. 18, pp. 11708-11713. https://doi.org/10.1103/PhysRevB.42.11708
Dempsey, Jed ; Johnson, Neil F ; Brey, L. ; Halperin, B. I. / Collective modes in quantum-dot arrays in magnetic fields. In: Physical Review B. 1990 ; Vol. 42, No. 18. pp. 11708-11713.
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