Effective one-dimensionality of universal ac hopping conduction in the extreme disorder limit

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    Abstract

    A phenomenological picture of ac hopping in the symmetric hopping model (regular lattice, equal site energies, random energy barriers) is proposed according to which conduction in the extreme disorder limit is dominated by essentially one-dimensional "percolation paths." Modeling a percolation path as strictly one dimensional with a sharp jump rate cutoff leads to an expression for the universal ac conductivity that fits computer simulations in two and three dimensions better than the effective medium approximation.
    OriginalsprogEngelsk
    TidsskriftPhysical Review B. Condensed Matter and Materials Physics
    Vol/bind54
    Udgave nummer21
    Sider (fra-til)14884-14887
    ISSN1098-0121
    StatusUdgivet - 1996

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