Dark states in the magnetotransport through triple quantum dots

We consider the transport through a system of three coupled quantum dots in a perpendicular magnetic field. At zero field, destructive interference can trap an electron in a dark state-a coherent superposition of dot states that completely blocks current flow. The magnetic field can disrupt this interference, giving rise to oscillations in the current and its higher-order statistics as the field is increased. These oscillations have a period of either the flux-quantum or half the flux quantum, depending on the dot geometry. We give results for the stationary current, and the shot noise and skewness both at zero and finite frequency.