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Nonlinear transport in ballistic quantum chains.

We present a theory of the nonlinear transport properties of quantum chains (QC), i.e., of ballistic one-dimensional arrays of quantum dots. We predict that, at finite applied voltages, nonlinearities should cause a doubling of the resonant differential conductance features found in the linear-response regime. As the voltage is increased, strong electronic transmission and reflection due to the QC miniband structure result in highly nonlinear {ital I}-{ital V} characteristics and negative differential conductance.