A new class of disordered systems a modified Bernoulli system with long range structural correlation

Masaki Goda, Hiroaki Yamada, Yoji Aizawa, Kaoru Kurumi, Akira Shudo, Haruhiko Kubo

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Spectral property and Lyapunov exponent of electronic wave function (L-exponent) in a modified Bernoulli system with inverse-power-law structural correlation, is studied in detail numerically and theoretically. By changing the value of the bifurcation parameter B specifying a strength of the correlation in the interval (1, ∞), two transitions (a transition around B = 3/2 and another one at B = 2) appear. For the case 3/2 ≤ B <2 of long-range structural correlation, two peaks appear and compete in the distribution function of L-exponent of finite system and the distribution does not obey the central-limit theorem. At the critical point B = 2 (and also for B>2), Lexponent in infinite system vanishes with probability 1.

Original languageEnglish
Pages (from-to)2295-2304
Number of pages10
JournalJournal of the Physical Society of Japan
Volume60
Issue number7
Publication statusPublished - 1991 Jul

Keywords

  • Central-limit theorem
  • Critical
  • Inverse-power law
  • Large deviation
  • Long-range correlation
  • Lyapunov exponent
  • Modified Bernoulli
  • Renewal process
  • Slow convergence
  • Spectrum

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Goda, M., Yamada, H., Aizawa, Y., Kurumi, K., Shudo, A., & Kubo, H. (1991). A new class of disordered systems a modified Bernoulli system with long range structural correlation. Journal of the Physical Society of Japan, 60(7), 2295-2304.