Abstract
A theoretical investigation has been carried out on the effect of a DC magnetic field on surface space-charge-wave instabilities caused by a drift current parallel to the surface of a doped polar semiconductor. The magnetic field is taken as perpendicular to the semiconductor surface. The dispersion relation is obtained using a generalization of the Kliewer-Fuchs specular-reflection boundary conditions. Calculated results are obtained in the non-retarded limit for two cases: (1) where a current-carrying, nonpolar semiconductor interfaces a polar insulator half-space and (2) where a current-carrying, polar semiconductor interfaces a nonpolar insulator half-space. Convective or amplifying instabilities arise because of the presence of optical phonons. Numerical results are presented for the gain as a function of frequency and magnetic field.
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