Lead-Induced Wave Function Scarring in Weakly Open Chaotic Quantum Dots

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We calculate semiclassically the energy-averaged local probability density of a wave function inside a weakly-open quantum dot in Coulomb blockade regime. We assume that the a clean cavity is connected to a large reservoir of electrons via one tunneling barrier. We show that scars should be observed at points on/near classical periodic orbits that are well coupled to the tunneling barrier. In particular, for a sufficiently small variation of systems parameters, scarring of a periodic orbit should recur, with a recurrence period corresponding to the properties of the periodic orbit.

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