Effective mass and lifetime of electrons in a layered electron gas

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Abstract
The effective screened interaction for electrons in a layered electron gas is derived. This interaction reflects the existence of the plasmon band. This unique structure of collective excitations, absent in both the three-dimensional and the two-dimensional electron gas, affects electronic properties of the layered electron gas. With use of the dynamical random-phase approximation the quasiparticle self-energy, effective mass on the Fermi surface, and lifetime are calculated as functions of electron density and distance between layers. The lifetime exhibits a dramatic dependence on dimensionality and layering of the electron gas.