Limit-Cycles and Chaos in the Current Through a Quantum Dot
  We investigate non-linear magneto-transport 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 behaviour on magnetic field strength and the tunnel coupling to the external leads. 
Carlos L\'opez-Mon\'is, Clive Emary, Gerold Kiesslich, Gloria Platero   and Tobias Brandes
cond-mat.mes-hall