The Dynamics and Hysteresis in GaAs/AlGaAs Heterostructure Under the Action of Electric and Magnetic Fields

We theoretically studied current oscillations and the dynamics of the modulation-doped GaAs/AlGaAs heterostructure under the action of electric fields and a perpendicular magnetic field. The results show that the current oscillations and hysteresis in the system can be found under the DC bias voltage. Under the effect of the increasing magnetic fields, the oscillations will disappear and the width of the hysteresis is broader. Considering the AC part, the system shows interesting nonlinear behaviors like the route of an inverse period-doubling to chaos, quasiperiodicity, and frequency-locking.