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Calculation of resistance for weak scattering, strong scattering and insulating quasi-one dimensional systems

2004/09/06 by A. Löser, Löser, A.
Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.cond-mat/0409131

12 pages, 12 figures, 3 tables

arxiv created 2004/09/07 · arxiv updated 2009/12/01

Abstract

A parameter free calculation of the resistivity is applied to liquid metals near the melting point ranging from weak to strong scattering limit. The method is based on length dependent resistance calculations for quasi-one dimensional systems and was applied on structures with up to 10000 atoms. The calculated value for conductance fluctuations is in good agreement with theoretical predictions. The resistivities are compared with the Kubo-Greenwood and the extended Ziman formula with the same scattering potential and similar structure. The resistance calculation is applicable for insulating materials as well, which is demonstrated for crystalline and amorphous silicon.

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