Scaling Theory Put into Practice: First-Principles Modeling of Transport in Doped Silicon Nanowires
Open Access
- 16 August 2007
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 99 (7), 076803
- https://doi.org/10.1103/physrevlett.99.076803
Abstract
We combine the ideas of scaling theory and universal conductance fluctuations with density-functional theory to analyze the conductance properties of doped silicon nanowires. Specifically, we study the crossover from ballistic to diffusive transport in boron or phosphorus doped Si nanowires by computing the mean free path, sample-averaged conductance G, and sample-to-sample variations std(G) as a function of energy, doping density, wire length, and the radial dopant profile. Our main findings are (i) the main trends can be predicted quantitatively based on the scattering properties of single dopants, (ii) the sample-to-sample fluctuations depend on energy but not on doping density, thereby displaying a degree of universality, and (iii) in the diffusive regime the analytical predictions of the Dorokhov-Mello-Pereyra-Kumar theory are in good agreement with our ab initio calculations.Keywords
This publication has 21 references indexed in Scilit:
- Surface Segregation and Backscattering in Doped Silicon NanowiresPhysical Review Letters, 2006
- One-dimensional hole gas in germanium/silicon nanowire heterostructuresProceedings of the National Academy of Sciences, 2005
- Nanowire nanosensorsMaterials Today, 2005
- Controlled Growth and Structures of Molecular-Scale Silicon NanowiresNano Letters, 2004
- Small-Diameter Silicon Nanowire SurfacesScience, 2003
- High Performance Silicon Nanowire Field Effect TransistorsNano Letters, 2003
- Functional Nanoscale Electronic Devices Assembled Using Silicon Nanowire Building BlocksScience, 2001
- Control of Thickness and Orientation of Solution-Grown Silicon NanowiresScience, 2000
- Random-matrix theory of quantum transportReviews of Modern Physics, 1997
- Disordered electronic systemsReviews of Modern Physics, 1985