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Dynamics Of One-Electron In A One-Dimensional Systems With An Aperiodic Hopping Distribution

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  • F. A. B. F. de MOURA

    (Instituto de Física, Universidade Federal de Alagoas, 57072-970 Maceió – AL, Brazil)

Abstract

In this paper, we consider the effect of an aperiodic hopping distribution on a single electron. The aperiodic sequence of hopping energies was generated by using a sinusoidal function whose phase ϕ varies as a power-law,ϕ ∝ nν, wherenlabels the positions along the chain. The exponent ν controls the degree of aperiodicity in the sequence hopping terms. Using the transfer matrix method, we compute the localization length within the band of allowed energies. Our numerical calculations indicate that, for an aperiodic sequence of hopping energies withν 1, all eigenstates remain localized. In addition, we study the electronic dynamics subjected to an electric field. Our numerical calculations reveals perfect Bloch oscillations forν

Suggested Citation

  • F. A. B. F. de MOURA, 2011. "Dynamics Of One-Electron In A One-Dimensional Systems With An Aperiodic Hopping Distribution," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 63-69.
    • Handle: RePEc:wsi:ijmpcx:v:22:y:2011:i:01:n:s0129183111016063
    DOI: 10.1142/S0129183111016063
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