Abstract
We report on theoretical investigations of the nasence of current filaments in thin film n-GaAs samples with two concentric circular contacts (Corbino disks). For a constant applied voltage in the regime of low-temperature impurity breakdown, a radially symmetric impact ionization front breaks up into streamers forming pre-filaments, among which a winner-takes-all dynamics sets in due to global coupling. On sweeping the external bias we find the spontaneous appearance of multiple stable filaments and hysteresis. In a perpendicular magnetic field the filaments are bent due to the Lorentz force.
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