Complex spatiotemporal dynamics of current filaments in crossed electric and magnetic fields

We propose a novel model for the nonlinear dynamics of spatiotemporal patterns in semiconductors with negative differential conductivity under the influence of a transverse magnetic field. Dielectric relaxation of both the applied electric field and the Hall field combined with the generation-recombination kinetics of the carriers obtained from a Monte Carlo simulation induces a transverse motion of the current filaments and complex sequences of nucleation, traveling, and destruction of filaments which result in chaotic current and voltage oscillations.