Electronic–nuclear dynamics in double quantum dots in the spin-blockade regime

We have theoretically investigated the nonlinear dissipative dynamics of coupled electronic–nuclear systems in double quantum dots in the spin-blockade regime. The result shows multiple stability and oscillation (limit cycle) in the magnetic field regime where the singlet and triplet two-electron levels cross each other. These instabilities explain the hysteresis and oscillation of leakage current observed recently by Ono et al.