A universal probability distribution of resistance and transmission coefficient in a one dimensional disordered system proposed by Mello from a macroscopic point of view is examined numerically from a microscopic point of view for some tightly binding disordered systems. Some universal relations between the cumulants are well observed at the band center energy E=0 in a weakly disordered system, while these are modified at the other energies E ≠ 0. They are modified even at E0 in the strongly disordered system. It is further found that the universal relations are broken in a modified Bernoulli system with an inverse-power law structural correlation.
|ジャーナル||Journal of the Physical Society of Japan|
|出版ステータス||Published - 1991 10|
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