Limit cycle theory of temporal current selfoscillations in sequential tunneling of superlattices
Abstract
A unified theory of the temporal current selfoscillations is presented. We establish these oscillations as the manifestations of limit cycles, around unstable steadystate solutions caused by the negative differential conductance. This theory implies that both the generation and the motion of an electricfield domain boundary are universal in the sense that they do not depend on the initial conditions. Under an extra weak ac bias with a frequency $\omega_{ac}$, the frequency must be either $\omega_{ac}$ or an integer fractional of $\omega_{ac}$ if the tunneling current oscillates periodically in time, indicating the periodic doubling for this nonlinear dynamical system
 Publication:

arXiv eprints
 Pub Date:
 November 2002
 arXiv:
 arXiv:condmat/0211306
 Bibcode:
 2002cond.mat.11306W
 Keywords:

 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect
 EPrint:
 4 pages and 5 figures