Numerical study of a universal distribution and non-universal distributions of resistance and transmission coefficient in 1-d disordered systems

Hiroaki Yamada, Masaki Goda, Yoji Aizawa

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)3501-3509
Number of pages9
JournalJournal of the Physical Society of Japan
Volume60
Issue number10
Publication statusPublished - 1991 Oct

Keywords

  • Disordered system
  • Macroscopic approach
  • Modified Bernoulli map
  • Resistance
  • Transmission coefficient
  • Universal distribution
  • Universality

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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