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Collective electron transport causes a weakly coupled semiconductorsuperlattice under dc voltage bias to be an excitable system with $2N+2$degrees of freedom: electron densities and fields at $N$ superlattice periodsplus the total current and the field at the injector. External noise ofsufficient amplitude induces regular current self-oscillations (coherenceresonance) in states that are stationary in the absence of noise. Numericalsimulations show that these oscillations are due to the repeated nucleation andmotion of charge dipole waves that form at the emitter when the current fallsbelow a critical value. At the critical current, the well-to-well tunnelingcurrent intersects the contact load line. We have determined thedevice-dependent critical current for the coherence resonance from experimentsand numerical simulations. We have also described through numerical simulationshow a coherence resonance triggers a stochastic resonance when its oscillationmode becomes locked to a weak ac external voltage signal. Our results agreewith the experimental observations.

Coherence Resonance and Stochastic Resonance in an Excitable Semiconductor Superlattice