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EN
The current-voltage characteristic of the narrow superconducting channel is investigated by direct numerical integration of the time-dependent Ginzburg-Landau equations. We have demonstrated that the steps in the current-voltage characteristic correspond to a number of different bifurcation points of the time-dependent Ginzburg-Landau equations. We have analytically estimated the period and the averaged voltage of the oscillating solution for the relatively small currents. We have also found the range of currents where the system transforms to the chaos.
EN
We study the effects of dissipation and noise on chaotic electron dynamics, which accompany charge transport in semiconductor superlattices with an applied bias voltage and a tilted magnetic field. We consider the evolution of different chaotic trajectories as decoherence increases, and show that below a critical level of the dissipation rate, dissipative chaos plays an important role in the electron transport. However, by increasing the dissipation rate above the critical level, chaotic dynamics disappear and electrons only demonstrate regular motion. We also investigate how the presence of random fluctuations affects magnetotransport in superlattices and reveal a counter-intuitive non-monotonic dependence of electron drift velocity upon the noise intensity.
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