Regensburg 2000 – wissenschaftliches Programm
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HL: Halbleiterphysik
HL 12: Poster I: Quanten Hall Effekt (1-9), II-VI Halbleiter (10-17), Epitaxie (18-23), Quantenpunkte und -dr
ähte (24-50), Photonik (51-59), Metall-Isolator Übergang (60-64), Si/Ge (65-67), Elektronentheorie (68-69), Amorphe Halbleiter, Ionen-Implantation
HL 12.34: Poster
Montag, 27. März 2000, 14:00–19:00, A
Spectrum and charge distribution of interacting electrons in a parabolic confinement — •Thomas Vojta1, Jens Siewert2, and Michael Schreiber1 — 1Institut für Physik, TU Chemnitz, D-09107 Chemnitz, Germany — 2DMFCI, Universitá di Catania, I-95125 Catania, Italy
The problem of interacting electrons in a parabolic confinement has attracted considerable attention recently since experiments on parabolic quantum dots [1] have revealed peculiar properties of such systems. On the other hand, it has been shown theoretically that classical point charges in a parabolic potential lead to a shell structure that is essentially independent of the type of interaction. The opposite is true for the addition energy: For Coulomb interaction the shell structure is nearly unimportant while a short-range interaction leads to fluctuations which can make the chemical potential negative [2].
Here we investigate this phenomenon quantum-mechanically. To this end we numerically diagonalize the Hamiltonian for Coulomb as well as for short range interactions. In addition to the ground state energy we calculate the spatial charge distribution and the density-density correlation function and compare the results to those of the classical calculation.
[1] N.B. Zhitenev, R.C. Ashoori, L.N. Pfeiffer, and K.W. West, Phys. Rev. Lett. 79, 2308 (1997). [2] A.A. Koulakov and B.I. Shklovskii, Phys. Rev. B 57, 2352 (1998).