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Creffield, Charles E. and Jefferson, John H and Sarkar,, Sarben and Tipton, D. L. J. (2000) Magnetic field dependence of the low-energy spectrum of a two-electron quantum dot. Physical review B, 62 (11). pp. 7249-7256. ISSN 1098-0121
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Official URL: http://dx.doi.org/10.1103/PhysRevB.62.7249
Abstract
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.
Item Type: | Article |
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Additional Information: | © 2000 The American Physical Society. |
Uncontrolled Keywords: | Interacting electrons |
Subjects: | Sciences > Physics > Materials Sciences > Physics > Solid state physics |
ID Code: | 33729 |
Deposited On: | 22 Oct 2015 18:03 |
Last Modified: | 22 Oct 2015 18:03 |
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