“…5 Most experimental studies of excitons confined in QDs were performed on self-assembled quantum dots (SAQDs) grown on {100} surfaces and were concerned with polarization anisotropy, [16][17][18] in-plane anisotropy of carrier effective g factors, 19,20 fine-structure splitting of neutral and charged exciton complexes, [21][22][23][24] which were induced by the shape asymmetry, and the existence of anisotropic strain and piezoelectric fields in these dots. Only recently, highly symmetric pyramidal QDs grown on {111} surfaces have emerged as interesting quantum structures in which zero fine-structure splitting of the neutral exciton was predicted 25,26 and eventually observed, [27][28][29][30] and for which the entanglement of polarized photon pairs was demonstrated. 31 It is our purpose in this paper to develop a general theoretical model of the Zeeman effects on the quantum states of excitons in highly symmetric QDs and to compare its predictions to experimental studies performed on magnetoexcitons confined in pyramidal QDs grown on (111)B GaAs substrates.…”