Self-similarity of single-channel transmission for electron transport in nanowires
arXiv:cond-mat/0510765 · doi:10.1063/1.2174959
Abstract
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.
References in corpus (7)
- Quantum properties of atomic-sized conductors
- Electrical resistance: an atomistic view
- Observation of a parity oscillation in the conductance of atomic wires
- Real space finite difference method for conductance calculations
- Spectral scalability as a result of geometrical self-similarity in fractal multilayers
- Three Key Questions on Fractal Conductance Fluctuations: Dynamics, Quantization and Coherence
- First principle calculations of conductance within plane wave basis set via nonorthogonal Wannier-type atomic orbitals