Modeling surface roughness scattering in metallic nanowiresModeling surface roughness scattering in metallic nanowires
Faculty of Sciences. Physics
Condensed Matter Theory
2015New York, N.Y. :American Institute of Physics, 2015
Journal of applied physics / American Institute of Physics. - New York, N.Y., 1937, currens
118(2015):12, 11 p.
University of Antwerp
Ando's model provides a rigorous quantum-mechanical framework for electron-surface roughness scattering, based on the detailed roughness structure. We apply this method to metallic nanowires and improve the model introducing surface roughness distribution functions on a finite domain with analytical expressions for the average surface roughness matrix elements. This approach is valid for any roughness size and extends beyond the commonly used Prange-Nee approximation. The resistivity scaling is obtained from the self-consistent relaxation time solution of the Boltzmann transport equation and is compared to Prange-Nee's approach and other known methods. The results show that a substantial drop in resistivity can be obtained for certain diameters by achieving a large momentum gap between Fermi level states with positive and negative momentum in the transport direction. (C) 2015 AIP Publishing LLC.