Numerical Study of a Universal Distribution and Non-Universal Distributions of Resistance and Transmission Coefficient in 1-D Disordered Systems

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A universal probability distribution of resistance and transmission coefficient in aone dimensional disordered system proposed by Mello from a macroscopic point ofview is examined numerically from a microscopic point of view for some tightly bin-ding disordered systems. Some universal relations between the cumulants are well ob-served at the band center energy E=O in a weakly disordered system, while these aremodified at the other energies EGO. They are modified even at E=O in the stronglydisordered system. It is further found that the universal relations are broken in amodified Bernoulli system with an inverse-power law structural correlation.[universality, universal distribution, modified Bernoulli map, disordered system, ll resistance, macroscopic approach, transmission coefficientl
社団法人日本物理学会の論文
1991-10-15