Abstract
We study five and six electrons confined in a two-dimensional quantum ring (QR) by the exact diagonalization approach. An external magnetic field B perpendicular to the ring plane is considered. The energy spectra of low-lying states of the QR as a function of B are obtained. A phase diagram is presented indicating a rich variety of ground states, especially, revealing a ground-state transition in which the total spin changes while the total angular momentum remains the same. By plotting the density functions of the QR, the ground-state configuration is found to be a regular polygon (RP), while some excited states do not possess a RP.
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