Magnetic properties of a two-electron quantum dot

Details Magnetic properties of a two-electron quantum dot Magnetic properties of a two-electron quantum dot

1999-12-23

arxiv.org/abs/cond-mat/9912428v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 7 figures (best viewed in color)

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Magnetic properties of a two-electron quantum dot does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Magnetic properties of a two-electron quantum dot, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Magnetic properties of a two-electron quantum dot will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-504739