Scaling properties of Lyapunov spectra for the band random matrix model

T Kottos, A Politi, F M Izrailev, S Ruffo

Research output: Contribution to journalArticle

15 Citations (Scopus)

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 languageEnglish
Pages (from-to)R5553-R5556
Number of pages4
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume53
Issue number6
Publication statusPublished - Jun 1996

Keywords

  • INVERSE PARTICIPATION RATIO
  • DISORDERED-SYSTEMS
  • LOCALIZATION
  • LIMIT
  • CHAOS

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