Self-similarity of single-channel transmission for electron transport in nanowires

Details Self-similarity of single-channel transmission for electron transport in nanowires Self-similarity of single-channel transmission for electron transport in nanowires

2005-10-27

arxiv.org/abs/cond-mat/0510765v1

J. Chem. Phys. 124, 104703 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1063/1.2174959

We demonstrate that the single-channel transmission in the resonance tunneling regime exhibits self-similarity as a function of the nanowire length and the energy of incident electrons. The self-similarity is used to design the nonlinear transformation of the nanowire length and energy which, on the basis of known values of transmission for a certain region on the energy-length plane, yields transmissions for other regions on this plane. Test calculations with a one-dimensional tight-binding model illustrate the described transformations. Density function theory based transport calculations of Na atomic wires confirm the existence of the self-similarity in the transmission.

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