Calculation of the transverse conductivity for electrons interacting with waves in strong electric fields

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Abstract
We have obtained the transverse a.c. conductivity for electrons interacting with waves in the presence of strong d.c. electric fields. The presence of the d.c. electric field leads to the introduction of a drifted distribution function for the electrons and a complex, field-dependent temperature. The expression for the transverse a.c. conductivity can be used to find the effects of the electric field on the propagation and absorption of waves in solids which induce transverse electric fields. We have applied our results to the interaction of electrons with transverse optical lattice vibrations and find that for all values of ql, it is the drifted distribution function which leads to the amplification of the waves.

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