Self-similarity of single-channel transmission for electron transport in nanowires.
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.
Department of Chemistry and Biochemistry, University of Maryland, College Park, Maryland 20742, USA. mhelin@umd.edu
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Gelin
Zhenyu
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Li
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Kosov