Landauer and Thouless Conductance: a Band Random Matrix Approach

Details Landauer and Thouless Conductance: a Band Random Matrix Approach Landauer and Thouless Conductance: a Band Random Matrix Approach

1997-01-23

arxiv.org/abs/cond-mat/9701172v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 latex preprint pages with 6 ps figures, to appear in Journal de Physique I, May (1997)

Scientific paper

10.1051/jp1:1997187

We numerically analyze the transmission through a thin disordered wire of finite length attached to perfect leads, by making use of banded random Hamiltonian matrices. We compare the Landauer and the Thouless conductances, and find that they are proportional to each other in the diffusive regime, while in the localized regime the Landauer conductance is approximately proportional to the square of the Thouless one. Fluctuations of the Landauer conductance were also numerically computed; they are shown to slowly approach the theoretically predicted value.

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