Abstract
The authors investigate the accuracy of the Hartree-Fock (HF) and Hartree (H) approximations for calculating energies in an N-electron quantum dot. The HF and H energies calculated from an analytically solvable model Hamiltonian are compared to exact energy solutions. The HF and H approximations become less accurate with increasing number of electrons, decreasing magnetic field, increasing dot size and increasing electron-electron interaction strength. The dependence on electron number is contrary to the well known infinite electron gas result.
| Original language | English (US) |
|---|---|
| Article number | 003 |
| Journal | Journal of Physics Condensed Matter |
| Volume | 4 |
| Issue number | 47 |
| DOIs | |
| State | Published - 1992 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
Cite this
The accuracy of the Hartree-Fock approximation for quantum dots. / Johnson, Neil F; Reina, M.
In: Journal of Physics Condensed Matter, Vol. 4, No. 47, 003, 1992.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The accuracy of the Hartree-Fock approximation for quantum dots
AU - Johnson, Neil F
AU - Reina, M.
PY - 1992
Y1 - 1992
N2 - The authors investigate the accuracy of the Hartree-Fock (HF) and Hartree (H) approximations for calculating energies in an N-electron quantum dot. The HF and H energies calculated from an analytically solvable model Hamiltonian are compared to exact energy solutions. The HF and H approximations become less accurate with increasing number of electrons, decreasing magnetic field, increasing dot size and increasing electron-electron interaction strength. The dependence on electron number is contrary to the well known infinite electron gas result.
AB - The authors investigate the accuracy of the Hartree-Fock (HF) and Hartree (H) approximations for calculating energies in an N-electron quantum dot. The HF and H energies calculated from an analytically solvable model Hamiltonian are compared to exact energy solutions. The HF and H approximations become less accurate with increasing number of electrons, decreasing magnetic field, increasing dot size and increasing electron-electron interaction strength. The dependence on electron number is contrary to the well known infinite electron gas result.
UR - http://www.scopus.com/inward/record.url?scp=0042975801&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0042975801&partnerID=8YFLogxK
U2 - 10.1088/0953-8984/4/47/003
DO - 10.1088/0953-8984/4/47/003
M3 - Article
AN - SCOPUS:0042975801
VL - 4
JO - Journal of Physics Condensed Matter
JF - Journal of Physics Condensed Matter
SN - 0953-8984
IS - 47
M1 - 003
ER -