Abstract
We present a theory of quantum transport based on spectral expansion of Green’s function in an open system. In continuous models, this representation makes it possible to avoid discretization of the device area and achieve a much higher numerical accuracy with a lower computational burden compared to common grid schemes. We formulate a numerical method which enables all the observables of interest to be propagated through the device area so that the major portion of the computation time scales linearly with the device volume. As an illustration, we apply the method to quantum ballistic electron transport in model three-dimensional metal oxide semiconductor field effect transistors.
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