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...

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Veröffentlicht in:The Journal of chemical physics 2006-03, Vol.124 (10), p.104703-104703
Hauptverfasser: Gelin, M F, Li, Zhenyu, Kosov, D S
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.2174959