Renormalization group and dynamical maps for the hierarchical tight-binding problem
Anno: 1989
Autori: Würtz D., Schneider T., Politi A., Zannetti M.
Affiliazione autori: IBM Research Division, Zurich Research Laboratory, 8803 Rüschlikon, Switzerland;
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Interdisziplinares Projecktzentrum fur Supercomputing, Zurich, Switzerland;
Dip. di Fisica, Università di Salerno Italy
Abstract: A tight-binding model in one dimension with hierarchical potential strength is investigated. The problem is reduced to three equivalent recursive relations: (i) for characteristic polynomials, (ii) for a renormalization-group transformation, and (iii) for traces of transfer matrices. On this basis, the nature of the energy spectrum and the character of the wave functions is elucidated. The scaling properties are also analyzed in terms of the stability of fixed points, period two-cycles, and aperiodic solutions. For short chains, resistance and transmission are calculated as functions of system length and energy in view of experimental realizations.
Giornale/Rivista: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS
Volume: 39 (11) Da Pagina: 7829 A: 7839
Parole chiavi: tight-binding modelCitazioni: 20dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)