In this paper, we present a highly accurate and effective theoretical model to study electron transport and interference in quantum cavities with arbitrarily complex boundaries. Based on this model, a variety of quantum effects can be studied and quantified. In particular, this model provides information on the transient state of the system under study, which is important for analyzing nanometer-scale electronic devices such as high-speed quantum transistors and quantum switches. ͓S0163-1829͑99͒02739-3͔
As electronic circuits get progressingly smaller to the nanometre scale, the
quantum wave nature of the electrons starts to play a dominant role. It is
thus possible for the devices to operate by controlling the phase of the
quantum electron waves rather than the electron density as in present-day
devices. This paper presents a highly accurate numerical method to treat
quantum waveguides with arbitrarily complex geometry. Based on this model, a
variety of quantum effects can be studied and quantified.
This work presents a detailed analysis of complex absorbing potentials employed to eliminate reflection or wrap-around of wave packets at numerical grid boundaries. In particular, a limiting value for the maximum propagation time step is derived, beyond which the complex potential may introduce massive errors and the Chebyshev propagation scheme is found to fail.
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