Gunnar Eliasson

Magnetoplasma modes of a spatially periodic two-dimensional electron gas

Abstract We examine the magnetoplasma dispersion of a two-dimensional electron gas with a spatially periodic charge density. The system studied is a periodic array of two-dimensional electron gas strips with constant equilibrium density. The integral equation describing the charge fluctuations on the strips, has been derived and solved numerically. The spatial dependence of the form of either propagating or evanescent waves. The latter are associated with the edge modes, recently discovered in electrons on liquid4 He. For a periodic array of two-dimensional strips, the modes in different strips, interact and form bands.

Polariton modes of semiconductor superlattice systems

Abstract The general dispersion relation for polariton modes of a system described by a spatially periodic local dielectric function is derived. The dispersion relation is evaluated numerically for a number of different semiconductor superlattice systems.

Magnetoplasma modes of a two-dimensional electron gas with spatially periodic charge density

Abstract The plasmon band structure of a two-dimensional electron gas with an arbitrary spatially periodic equilibrium density is studied.

Magnetoplasma surface waves on the lateral surface of a semiconductor superlattice

Abstract The integral equation describing charge density fluctuations on the lateral surface of a semiconductor superlattice is transformed to a matrix equation by expanding the scalar potential in a complete orthonormal set of functions. Numerical results, obtained by keeping only a finite number of terms in the expansion, converge rapidly and display significant differences from the approximate analytic solution obtained earlier.

Lateral surface magnetoplasma modes of type II semiconductor superlattices

Abstract The recently developed theory of superlattice lateral surface magnetoplasmon is extended to type II superlattices consisting of alternating two-dimensional planes of electrons and holes. The magnetoplasmon dispersion relation is calculated by transforming the two coupled integral equations for the a.c. potential into a composite matrix equation. This method can be generalized to study charge density collective excitations in an arbitrary multi-component superlattice.

Electron self-energy, effective mass and lifetime in a layered electron gas

Abstract Many body effects in a layered electron gas are studied using the dynamical random phase approximation. The electron self-energy, effective mass and lifetime are calculated as a function of electron density and interlayer separation. The results show behavior drastically different from interacting electron gas in two and three dimensions.