Simulation of the mesoscopic transport properties of disordered metallic films

Andrzej Kusy, Roman Sikora and Adam W. Stadler

Physica A: Statistical Mechanics and its Applications, 1994, vol. 211, issue 4, 381-386

Abstract: An extension of Sheng and Zhang's 2D quantum percolation model of disordered metal films to 3D systems has been described. Our simulation studies, carried out on sc lattice for the ratio of Fermi energy E to the hopping matrix element U, E/U = 0.01, have shown that for the metal concentration p = 0.34 being close to the classical site-percolation threshold pc ≅ 0.312, i.e. in the strong scattering regime, 3D dimensionless conductance g = G/(e2/h) decreases exponentially with the linear size L of the sample. The localization length 0.36 has been found. On the other side, for the metal concentration p = 0.6, g tends to increase linearly with L. These results are consistent with the ones obtained for 3D quantum site-percolation by Soukoulis et al. that close to the center of the band the value of the quantum percolation threshold pq ≅ 0.54.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:211:y:1994:i:4:p:381-386

DOI: 10.1016/0378-4371(94)90041-8

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