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 language | English |
|---|---|
| Pages (from-to) | 2295-2304 |
| Number of pages | 10 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 60 |
| Issue number | 7 |
| Publication status | Published - 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)