Szczegóły publikacji
Opis bibliograficzny
Electron-electron correlation in quantum dots / B. SZAFRAN, J. ADAMOWSKI, S. BEDNAREK // Physica. E, Low-Dimensional Systems & Nanostructures ; ISSN 1386-9477. — 1999 — vol. 5 iss. 3, s. 185–195. — Bibliogr. s. 194–195, Abstr.
Autorzy (3)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 6885 |
|---|---|
| Data dodania do BaDAP | 2001-11-10 |
| Tekst źródłowy | URL |
| DOI | 10.1016/S1386-9477(99)00039-9 |
| Rok publikacji | 1999 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp | |
| Czasopismo/seria | Physica, E, Low Dimensional Systems & Nanostructures |
Abstract
The problem of correlation has been studied for two-electron systems in semiconductor quantum dots with harmonic-oscillator confinement potentials of both the spherical and cylindrical symmetry. The eigenvalue problems have been solved by the iterative extraction-orthogonalization method, which provides the exact results for the harmonic-oscillator potential with arbitrary frequency. It is shown that - on the contrary to the previous results - in the absence of external magnetic field, the ground state is the spin singlet for quantum dots of arbitrary size, i.e., a singlet-triplet spontaneous "phase transition" does not occur. We have performed the comparative calculations using the Hartree-Fock method and shown that the previously predicted singlet-tripler "phase transition" results from the neglect of the electron-electron correlation. We have found that for sufficiently large quantum dots the singlet ground state becomes degenerate with the first excited triplet state and pair-correlation functions for these states are almost identical.