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

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wave functions
exponents
intervals
electronics

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)

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.

A new class of disordered systems a modified Bernoulli system with long range structural correlation. / Goda, Masaki; Yamada, Hiroaki; Aizawa, Yoji; Kurumi, Kaoru; Shudo, Akira; Kubo, Haruhiko.

In: Journal of the Physical Society of Japan, Vol. 60, No. 7, 07.1991, p. 2295-2304.

Research output: Contribution to journalArticle

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, vol. 60, no. 7, pp. 2295-2304.
Goda, Masaki ; Yamada, Hiroaki ; Aizawa, Yoji ; Kurumi, Kaoru ; Shudo, Akira ; Kubo, Haruhiko. / A new class of disordered systems a modified Bernoulli system with long range structural correlation. In: Journal of the Physical Society of Japan. 1991 ; Vol. 60, No. 7. pp. 2295-2304.
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