Ground state energies of quantum dots in high magnetic fields: A new approach

Details Ground state energies of quantum dots in high magnetic fields: A new approach Ground state energies of quantum dots in high magnetic fields: A new approach

2001-06-21

arxiv.org/abs/cond-mat/0106451v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, including 2 figures, contribution to the Proceedings of EP2DS-14, submitted to Physica E

Scientific paper

10.1016/S1386-9477(01)00452-0

We present a new method for calculating ground state properties of quantum dots in high magnetic fields. It takes into account the equilibrium positions of electrons in a Wigner cluster to minimize the interaction energy in the high field limit. Assuming perfect spin alignment the many-body trial function is a single Slater determinant of overlapping oscillator functions from the lowest Landau level centered at and near the classical equilibrium positions. We obtain an analytic expression for the ground state energy and present numerical results for up to N=40.

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