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 language | English (US) |
|---|---|
| Pages (from-to) | 11708-11713 |
| Number of pages | 6 |
| Journal | Physical Review B |
| Volume | 42 |
| Issue number | 18 |
| DOIs | |
| State | Published - 1990 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Condensed Matter Physics
Cite this
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 journal › Article
}
TY - JOUR
T1 - Collective modes in quantum-dot arrays in magnetic fields
AU - Dempsey, Jed
AU - Johnson, Neil F
AU - Brey, L.
AU - Halperin, B. I.
PY - 1990
Y1 - 1990
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000942587&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000942587&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.42.11708
DO - 10.1103/PhysRevB.42.11708
M3 - Article
AN - SCOPUS:0000942587
VL - 42
SP - 11708
EP - 11713
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 1098-0121
IS - 18
ER -