Abstract

Magnetic-field-induced oscillatory instabilities in semiconductors are explained by a novel dynamic Hall effect of hot electrons. The basic new idea is to consider the nonlinear dynamics of both the drift and the Hall field due to dielectric relaxation coupled with impact ionization of hot carriers. This results in self-generated current or voltage oscillations under DC bias, period-doubling, and intermittency routes to chaos. Numerical simulations are presented for p-Ge, n-InSb, and n-GaAs with field-dependent mobilities and one or two shallow impurity levels at 4.2 K. In particular, the universal scaling behaviour of type-I intermittency as a function of magnetic field is demonstrated.

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