The ground state of two conduction-band electrons confined in ellipsoidally shaped quantum dots has been calculated within the effective-mass approximation, using both a perturbative scheme and a variational approach. The problem is studied using prolate spheroidal coordinates, which allows us to exactly solve the single-particle problem and therefore to make a suitable ansatz for the two-electron variational wave function. The different contributions arising from the Coulomb repulsion and dielectric effects are calculated and discussed. The dot anisotropy is shown to strongly influence the electron-electron correlation.
Shape effects on the one- and two-electron ground state in ellipsoidal quantum dots
Cantele G;
2001
Abstract
The ground state of two conduction-band electrons confined in ellipsoidally shaped quantum dots has been calculated within the effective-mass approximation, using both a perturbative scheme and a variational approach. The problem is studied using prolate spheroidal coordinates, which allows us to exactly solve the single-particle problem and therefore to make a suitable ansatz for the two-electron variational wave function. The different contributions arising from the Coulomb repulsion and dielectric effects are calculated and discussed. The dot anisotropy is shown to strongly influence the electron-electron correlation.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
