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Resistance and eigenstates in a tight-binding model with quasiperiodic potential

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Zeitschrift für Physik B Condensed Matter

Abstract

A one-dimensional tight-binding model on a spatially periodic lattice of lengthN, 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 algebraicN-dependence of the resistance, with a distribution of exponents. Implications for quantum chaos are also discussed.

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Author notes

  1. A. Politi

    Present address: Istituto Nazionale di Ottica, Largo E. Fermi 6, 1-50125, Firenze, Italy

  2. D. Würtz

    Present address: Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, D-6900, Heidelberg, FRG

Authors and Affiliations

  1. IBM Research Division, Zurich Research Laboratory, Säumerstrasse 4, Ch-8803, Rüschlikon, Switzerland

    T. Schneider, A. Politi & D. Würtz

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  1. T. Schneider
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  2. A. Politi
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  3. D. Würtz
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Schneider, T., Politi, A. & Würtz, D. Resistance and eigenstates in a tight-binding model with quasiperiodic potential. Z. Physik B - Condensed Matter 66, 469–473 (1987). https://doi.org/10.1007/BF01303896

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  • DOI: https://doi.org/10.1007/BF01303896

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