Abstract
The paper is devoted to the simulation of nonlinear electron transport in quantum wires. This problem is important for many applications of modern nanoelectronics and it is very complex in the case of real geometry of quantum wires (finite sizes, transition from quantum well layer to metal leads, etc.). For the numerical analysis of this problem, a new mathematical model has been constructed recently. The model is based on the Hartree-Fock approximation and consists of the strong non-local non-linearity. In this work, the original numerical method and effective parallel algorithm are proposed for the correct analysis of the model. Some details of the method and simulation results are demonstrated and discussed.
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