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

R. W. Haase, Neil F Johnson

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 - 1994
Externally publishedYes

Fingerprint

N electrons
Hamiltonians
Light absorption
Semiconductor quantum dots
optical spectrum
optical absorption
quantum dots
absorption spectra
Electrons
Particle interactions
particle interactions
confining
theorems
breakdown
Magnetic fields
Infrared radiation
operators
energy
magnetic fields

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Optical absorption and addition spectra of an N-electron quantum dot : An algebraic Hamiltonian approach. / Haase, R. W.; Johnson, Neil F.

In: Physical Review B, Vol. 49, No. 20, 1994, p. 14409-14417.

Research output: Contribution to journalArticle

Haase, R. W. ; Johnson, Neil F. / Optical absorption and addition spectra of an N-electron quantum dot : An algebraic Hamiltonian approach. In: Physical Review B. 1994 ; Vol. 49, No. 20. pp. 14409-14417.
@article{316a7f0022174a7f932efbee36596fec,
title = "Optical absorption and addition spectra of an N-electron quantum dot: An algebraic Hamiltonian approach",
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.",
author = "Haase, {R. W.} and Johnson, {Neil F}",
year = "1994",
doi = "10.1103/PhysRevB.49.14409",
language = "English (US)",
volume = "49",
pages = "14409--14417",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Institute of Physics Publising LLC",
number = "20",

}

TY - JOUR

T1 - Optical absorption and addition spectra of an N-electron quantum dot

T2 - An algebraic Hamiltonian approach

AU - Haase, R. W.

AU - Johnson, Neil F

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0002129603&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002129603&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.49.14409

DO - 10.1103/PhysRevB.49.14409

M3 - Article

AN - SCOPUS:0002129603

VL - 49

SP - 14409

EP - 14417

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 20

ER -