Limit cycles and chaos in the current through a quantum dot

@article{LopezMonis2012LimitCA,
  title={Limit cycles and chaos in the current through a quantum dot},
  author={Carlos L'opez-Mon'is and C. Emary and G. Kiesslich and G. Platero and T. Brandes},
  journal={Physical Review B},
  year={2012},
  volume={85},
  pages={045301}
}
We investigate nonlinear magnetotransport through a single-level quantum dot coupled to ferromagnetic leads, where the electron spin is coupled to a large, external (pseudo)spin via an anisotropic exchange interaction. We find regimes where the average current through the dot displays self-sustained oscillations that reflect the limit cycles and chaos and map the dependence of this behavior on magnetic field strength and the tunnel coupling to the external leads. 
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Nonlinear Dynamics And Chaos
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