Abstract
The transfer-matrix method is applied to quasi-one-dimensional disordered media described by a one-dimensional tight-binding Hamiltonian with long-range random interactions. We investigate the scaling properties of the whole Lyapunov spectrum in the limit of the interaction range b tending to infinity. Two different energy dependencies are found around the maximum and the minimum Lyapunov exponents. Moreover, a singular behavior in the lower part of the Lyapunov spectrum is found at the band edge. Finally, scaling properties of the fluctuations are also analyzed.
| Original language | English |
|---|---|
| Pages (from-to) | R5553-R5556 |
| Number of pages | 4 |
| Journal | Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 53 |
| Issue number | 6 |
| Publication status | Published - Jun 1996 |
Keywords
- INVERSE PARTICIPATION RATIO
- DISORDERED-SYSTEMS
- LOCALIZATION
- LIMIT
- CHAOS