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

    Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

    Resumé

    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

    Citer dette

    @article{125604e052bf11dba4bc000ea68e967b,
    title = "Effective one-dimensionality of universal ac hopping conduction in the extreme disorder limit",
    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.",
    author = "Jeppe Dyre and Thomas Schr{\o}der",
    year = "1996",
    language = "English",
    volume = "54",
    pages = "14884--14887",
    journal = "Physical Review B",
    issn = "2469-9950",
    publisher = "American Physical Society",
    number = "21",

    }

    Effective one-dimensionality of universal ac hopping conduction in the extreme disorder limit. / Dyre, Jeppe; Schrøder, Thomas.

    I: Physical Review B. Condensed Matter and Materials Physics, Bind 54, Nr. 21, 1996, s. 14884-14887.

    Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

    TY - JOUR

    T1 - Effective one-dimensionality of universal ac hopping conduction in the extreme disorder limit

    AU - Dyre, Jeppe

    AU - Schrøder, Thomas

    PY - 1996

    Y1 - 1996

    N2 - 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.

    AB - 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.

    M3 - Journal article

    VL - 54

    SP - 14884

    EP - 14887

    JO - Physical Review B

    JF - Physical Review B

    SN - 2469-9950

    IS - 21

    ER -