Abstract

AbstractA theoretical investigation is made of the collision‐induced instabilities associated with helicon wave propagation in (type‐I) semiconductor superlattices. The dispersion relation which presents a rich structure of collective excitations in the quasi 2‐dimensional systems is used to study the convective and absolute instabilities. Numerical solutions of the dispersion relation are performed including the effect of retardation. The theoretical results in the strong‐coupling limit clearly indicate the parabolic nature of the modes at small wave vectors and thus lend support to the prediction of Quinn and coworkers. The analytical diagnosis, however, leads to some paradoxial conclusions and hence keeps one in dilemma to characterize these modes precisely as helicons.

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