Resistance and eigenstates in a tight-binding model with quasiperiodic potential
Year: 1987
Authors: Schneider T., Politi A., Würtz D.
Autors Affiliation: IBM Research Division, Zurich Research Laboratory, Säumerstrasse 4, Ch-8803 Rüschlikon, Switzerland
Istituto Nazionale di Ottica, Largo E. Fermi 6, 1-50125 Firenze, Italy
Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, D-6900 Heidelberg, FRG
Abstract: A one-dimensional tight-binding model on a spatially periodic lattice of length N, with quasiperiodic potential strength given by the Fibonacci sequence, is investigated numerically. We elucidate theN-dependence of the resistence and the nature of the wave functions. For energies belonging to the spectrum, the results provide strong evidence for algebraic localization and algebraic N-dependence of the resistance, with a distribution of exponents. Implications for quantum chaos are also discussed.
Journal/Review: ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER
Volume: 66 Pages from: 469 to: 473
KeyWords: quantum chaosDOI: 10.1007/BF01303896Citations: 48data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-10References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here