Correlated States and Frustration in Magnetic Quantum Dots with Multiple Occupancy*

Magnetically doped semiconductor quantum dots (QDs) provide an enhanced control of magnetic ordering as compared to their bulk-like counterparts [1]. Unlike in the bulk structures, adding a single carrier in a magnetic QD can have important ramifications. An extra carrier can both strongly change the total carrier spin and the temperature of the onset of magnetization. Recent experiments reveal how multiple carrier occupancy is optically controlled in Mn-doped II-VI QDs [2] and motivate studies of strongly-correlated states in these systems. While Wigner molecules, as the nanoscale manifestation of correlation effects in Wigner crystals, have been extensively studied in nonmagnetic QDs, their generalizations in magnetic QDs are largely unexplored [3]. Using exact diagonalization and conditional probability density we reveal peculiar manifestations of strongly-correlated states in Mn-doped QDs. The spatial control of Mn-dopants provides a platform to examine the role of magnetic frustration and the shell-structure formation with the change in the strength of Coulomb interaction.
[1] R. M. Abolfath, A. G. Petukhov, I. Zutic, PRL 101, 207202 (2008).
[2] P. Zhang et al., J. Phys. Chem. C 123, 25934 (2019).
[3] J. M. Pientka et al., PRB 92, 155402 (2015).