Modeling surface roughness scattering in metallic nanowires

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作者
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[1] [1,Moors, Kristof
[2] 2,3,Sorée, Bart
[3] 2,Magnus, Wim
来源
| 1600年 / American Institute of Physics Inc.卷 / 118期
关键词
Surface roughness - Surface scattering - Quantum theory - Nanowires - Boltzmann equation;
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摘要
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. © 2015 AIP Publishing LLC.
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