Magnetic properties of a two-electron quantum dot
| dc.creator | Creffield, C. E. | |
| dc.creator | Jefferson, J. H. | |
| dc.creator | Sarkar, S. | |
| dc.creator | Tipton, D. L. | |
| dc.date | 1999-12-23 | |
| dc.date.accessioned | 2026-07-07T03:15:47Z | |
| dc.date.available | 2026-07-07T03:15:47Z | |
| dc.description | The low-energy eigenstates of two interacting electrons in a square quantum dot in a magnetic field are determined by numerical diagonalization. In the strong correlation regime, the low-energy eigenstates show Aharonov-Bohm type oscillations, which decrease in amplitude as the field increases. These oscillations, including the decrease in amplitude, may be reproduced to good accuracy by an extended Hubbard model in a basis of localized one-electron Hartree states. The hopping matrix element, $t$, comprises the usual kinetic energy term plus a term derived from the Coulomb interaction. The latter is essential to get good agreement with exact results. The phase of $t$ gives rise to the usual Peierls factor, related to the flux through a square defined by the peaks of the Hartree wavefunctions. The magnitude of $t$ decreases slowly with magnetic field as the Hartree functions become more localized, giving rise to the decreasing amplitude of the Aharonov-Bohm oscillations. | |
| dc.description | 12 pages, 7 figures (best viewed in color) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9912428 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9912428 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/30110 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Magnetic properties of a two-electron quantum dot | |
| dc.type | text |