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27 April 2024
 
  » arxiv » cond-mat/0510765

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Self-similarity of single-channel transmission for electron transport in nanowires
M.F. Gelin ; Zhenyu Li ; D.S. Kosov ; PostScript ; PDF ; Other formats ;
Date 27 Oct 2005
Journal J. Chem. Phys. 124, 104703 (2006)
Subject Mesoscopic Systems and Quantum Hall Effect
AbstractWe 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.
Source arXiv, cond-mat/0510765
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