Landau levels in a novel two-dimensional electron system interacting with charged quantum dots

Landau levels have been theoretically investigated in a two-dimensional electron gas near a quantum dot (QD) layer. By a diagrammatical method, we have formulated the self-energy for the Landau level and deduced its relation to the AC conductivity σloc(ω) in the QD layer. As an example, we have examined the density of states in the case where σloc(ω) is described by AωS(S=0.8). It is found that the Landau levels are broadened due to the interaction with the localized electrons in the QDs.