Simulation of Nonlinear Electron Transport in Quantum Wires¹

Article type: Research Article

Authors: Polyakov, Sergey V.^{; 2; 3}

Affiliations: Institute for Mathematical Modeling, Russian Academy of Sciences, Miusskaya sq. 4a, 125047, Moscow, Russia

Correspondence: [3] The address for manuscript correspondence: Sergey V. Polyakov, Institute for Mathematical Modeling of RAS, Miusskaya sq. 4a, Moscow 125047, Russia, Tel: 973-03-85. Fax: 972-07-23. E-mail: [email protected].

Note: [1] This work is supported by INTAS (Grant No. 96-0721) and the Russian Fund for Basic Research (Grant No. 99-01-00786).

Note: [2] E-mail: [email protected].

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.

Keywords: Quantum wire, Numerical simulation, Parallel computations

DOI: 10.3233/JCM-2002-21-229

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 2, no. 1-2, pp. 207-211, 2002