Correlated states in magnetic quantum dots with multiple occupancy

The motivation to magnetically dope semiconductor quantum dots comes from the possibility for an enhanced control of magnetic ordering as compared to their bulklike counterparts. 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[1]. While QDs have been recognized for correlation effects, inherent in the analog of Wigner crystals referred to as Wigner molecules (WMs), the modification of underlying correlated states with magnetic doping is largely unexplored[2]. By focusing on Mn-doped II-VI QDs[3] we show correlated states, which can be viewed as a generalization of WMs, can be studied using exact diagonalization and conditional probability density. We explain how the formation of a shell structure in these Mn-doped QDs and magnetic frustrations are altered by the changes in strength of the Coulomb interaction.
[1] R. M. Abolfath, A. G. Petukhov, I. Zutic, PRL 101, 207202 (2008)
[2] J. M. Pientka et al., PRB 92, 155402 (2015)
[3] P. Zhang et al., arXiv:1801:05090