Finite-size corrections to Lyapunov spectra for band random matrices
Anno: 1998
Autori: Kottos T., Politi A., Izrailev FM.
Affiliazione autori: Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel;
Department of Physics, University of Crete, P.O. Box 2208, 71003 Heraklion-Crete, Greece;
Research Center of Crete, P.O. Box 2208, 71003 Heraklion-Crete, Greece
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Firenze, Italy;
Instituto de Fisica, Universidad Autonoma de Puebla, Apartado Postal J-48, Colonial San Manuel, Puebla, 72570, Mexico;
Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia
Abstract: The transfer-matrix method is applied to quasi-one-dimensional and one-dimensional disordered systems with long-range interactions described by band random matrices. We investigate the convergence properties of the entire Lyapunov spectra of finite samples as a function of the bandwidth and of the sample length. Different scaling laws are found with respect to what is suggested by the analysis of the localization properties of the eigenfunctions. Our results, at variance with the Anderson model, suggest that the contacts of a finite sample with the leads play a prominent role.
Giornale/Rivista: JOURNAL OF PHYSICS-CONDENSED MATTER
Volume: 10 (26) Da Pagina: 5965 A: 5976
Parole chiavi: STATISTICAL PROPERTIES; CONDUCTANCE; TRANSPORT; SYSTEMS; MODELSDOI: 10.1088/0953-8984/10/26/021Citazioni: 7dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui