Spatially inhomogeneous effects at the interference of electron waves in semiconductor 1D nanostructures

Victor A. Petrov; A. V. Nikitin

doi:10.1117/12.558476

28 May 2004 Spatially inhomogeneous effects at the interference of electron waves in semiconductor 1D nanostructures

Victor A. Petrov, A. V. Nikitin

Proceedings Volume 5401, Micro- and Nanoelectronics 2003; (2004) https://doi.org/10.1117/12.558476
Event: Micro- and Nanoelectronics 2003, 2003, Zvenigorod, Russian Federation

Abstract

Effects of spatial inhomogeneity for the probability current density j_x (x, z) (or a quantum-mechanical current density ej_x (x, z) e is the electron charge) in the semiconductor 1D nanostructures in the form of joints in the direction of propagation of the electron wave (the x-axis) of narrow and wide (on the z-axis) rectangular quantum wires (QWs) (z-axis is the axis of the quantization) have been theoretically studied. The inhomogeneous distribution of the j_x (x, z) arises because of the interference of electron waves spreading in the wide QW simultaneously in different electron subbands. Special attention is given to effects of spatial reproduction and multiplication for electron waves in such nanostructures. It is shown that transverse distribution j_x (0, z) existing at the entry of the wide QW is reproduced with some accuracy at a definite distance X₁ from the joint and splits in symmetric (along the z-axis) 1D nanostructures into p identical profiles of the intensity lower by p times at the distance X₁/p. This picture is reproduced periodically in cross-sections X_q = qX₁ (q and p are integers). The results of numerical calculations of these effects in symmetric structures and their modification in asymmetric (on the z-axis) nanostructures are given.

Citation Download Citation

Victor A. Petrov and A. V. Nikitin "Spatially inhomogeneous effects at the interference of electron waves in semiconductor 1D nanostructures", Proc. SPIE 5401, Micro- and Nanoelectronics 2003, (28 May 2004); https://doi.org/10.1117/12.558476

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