  Magneto-transport measurements of Shubnikov-de Haas (SdH) oscillations have
been performed on two-dimensional electron gases (2DEGs) confined in CdTe and
CdMnTe quantum wells. The quantum oscillations in CdMnTe, where the 2DEG
interacts with magnetic Mn ions, can be described by incorporating the
electron-Mn exchange interaction into the traditional Lifshitz-Kosevich
formalism. The modified spin splitting leads to characteristic beating pattern
in the SdH oscillations, the study of which indicates the formation of Mn
clusters resulting in direct anti-ferromagnetic Mn-Mn interaction. The Landau
level broadening in this system shows a peculiar decrease with increasing
temperature, which could be related to statistical fluctuations of the Mn
concentration.
