Active waves in solid-state plasmas

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Abstract
By using the hydrodynamic description, a discussion is made of waves that carry small-signal negative energy in a one-component solid-state plasma of infinite extent where the negative carriers drift at an angle with respect to wave propagation. In the absence of a d.c. magnetic field, the inclination angle between the streaming drift velocity and the wave propagation vector provides the coupling between the modes. Under the quasi-static approximation and in the collisionless limit the slower hybrid mode carries a small-signal negative energy. This same property is verified for slower hybrid modes described under the quasi-static approximation when the plasma is magnetized transversely to the direction of wave propagation. Resistive instabilities in an electron—hole plasma can be produced under the conditions for which these active waves supported by the drifting electrons exist and interact with resistive holes.In the presence of a longitudinal d.c. magnetic field, kinetic power expressions are derived assuming a small inclination angle for the slower cyclotron mode in the presence of collisions, and for the slower helicon waves. The character of the active wave in these modes is shown under the slow-wave approximation and on the basis of the kinetic power theorem.

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