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Collective electronic excitation modes in a superlattice Public Deposited

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  • Collective excitation(plasmon) modes of an electron gas in a multilayer system (superlattice) have been studied in great detail in recent years. One important aspect of this Fermion system is that the dispersion relation of the plasma frequency shows transitional behavior between two- and three- dimensional character. Inelastic light scattering experiment has recently been conducted, in which the intermediate dispersion was observed for a superlattice. The results of the light scattering experiment and earlier calculations based on a superlattice of two dimensional layers model developed by Fetter and Das Sarma and Quinn are in qual!.tatively aood agreement. Neverthefless there are discrepancies between this theory and experiment, especially for increasing values of q. The objective of this work is to improve Fetter and Das Sarma and Quinn's theory to include the effect of finite thickness of the plasma layers with the objective of better understanding the systematic discrepancy and to describe electronic correlations in a superlattice in a more general way. It proceeds by the determination of the particle-hole channel of the two particle Green's function in the Random Phase Approximation. The problem is examined here in the two band limit with the envelope functions of the infinite square well potential for both the plasmon and resonant screened single particle excitations. The results are in quantitatively excellent agreement with the experiment.
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