RT Journal Article
T1 Magnetic field dependence of the low-energy spectrum of a two-electron quantum dot
A1 Creffield, Charles
A1 Jefferson, John H
A1 Sarkar, , Sarben
A1 Tipton, D. L. J.
AB 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 wave functions. 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.
PB American Physical Society
SN 1098-0121
YR 2000
FD 2000-09-15
LK https://hdl.handle.net/20.500.14352/59753
UL https://hdl.handle.net/20.500.14352/59753
LA eng
NO © 2000 The American Physical Society.The authors would like to thank Wolfgang Häusler and Colin Lambert for stimulating discussions. C.E.C. acknowledges support from the Leverhulme Foundation and from the EV within the TMR programme. Support from the U.K. Ministry of Defense and the E.U. TMR program is also acknowledged.
NO Leverhulme Foundation
NO UK Ministry of Defense
NO EU TMR program
DS Docta Complutense
RD 17 dic 2025