Self-similarity of single-channel transmission for electron transport in nanowires
Journal Publication ResearchOnline@JCUAbstract
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.
Journal
Journal of Chemical Physics
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Volume
124
ISBN/ISSN
1089-7690
Edition
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Issue
10
Pages Count
5
Location
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Publisher
American Institute of Physics
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EISSN
N/A
DOI
10.1063/1.2174959