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

A. Löser
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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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A. Löser. 2004-09-07. Calculation of resistance for weak scattering, strong scattering and insulating quasi-one dimensional systems. https://arxiv.org/abs/cond-mat/0409131

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