Hopping models and ac universality

    Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

    Resumé

    Some general relations for hopping models are established. We proceed to discuss the universality of the ac conductivity which arises in the extreme disorder limit of the random barrier model. It is shown that the relevant dimension entering into the diffusion cluster approximation (DCA) is the harmonic (fracton) dimension of the diffusion cluster. The temperature scaling of the dimensionless frequency entering into the DCA is discussed. Finally, some open problems regarding ac universality are listed.
    OriginalsprogEngelsk
    TidsskriftIPPS physica status solidi (b)
    Vol/bind230
    Udgave nummer1
    Sider (fra-til)5-13
    ISSN0370-1972
    StatusUdgivet - 2002

    Citer dette

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    title = "Hopping models and ac universality",
    abstract = "Some general relations for hopping models are established. We proceed to discuss the universality of the ac conductivity which arises in the extreme disorder limit of the random barrier model. It is shown that the relevant dimension entering into the diffusion cluster approximation (DCA) is the harmonic (fracton) dimension of the diffusion cluster. The temperature scaling of the dimensionless frequency entering into the DCA is discussed. Finally, some open problems regarding ac universality are listed.",
    author = "Jeppe Dyre and Thomas Schr{\o}der",
    year = "2002",
    language = "English",
    volume = "230",
    pages = "5--13",
    journal = "IPPS physica status solidi (b)",
    issn = "0370-1972",
    publisher = "Wiley Online",
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    }

    Hopping models and ac universality. / Dyre, Jeppe; Schrøder, Thomas.

    I: IPPS physica status solidi (b), Bind 230, Nr. 1, 2002, s. 5-13.

    Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

    TY - JOUR

    T1 - Hopping models and ac universality

    AU - Dyre, Jeppe

    AU - Schrøder, Thomas

    PY - 2002

    Y1 - 2002

    N2 - Some general relations for hopping models are established. We proceed to discuss the universality of the ac conductivity which arises in the extreme disorder limit of the random barrier model. It is shown that the relevant dimension entering into the diffusion cluster approximation (DCA) is the harmonic (fracton) dimension of the diffusion cluster. The temperature scaling of the dimensionless frequency entering into the DCA is discussed. Finally, some open problems regarding ac universality are listed.

    AB - Some general relations for hopping models are established. We proceed to discuss the universality of the ac conductivity which arises in the extreme disorder limit of the random barrier model. It is shown that the relevant dimension entering into the diffusion cluster approximation (DCA) is the harmonic (fracton) dimension of the diffusion cluster. The temperature scaling of the dimensionless frequency entering into the DCA is discussed. Finally, some open problems regarding ac universality are listed.

    M3 - Journal article

    VL - 230

    SP - 5

    EP - 13

    JO - IPPS physica status solidi (b)

    JF - IPPS physica status solidi (b)

    SN - 0370-1972

    IS - 1

    ER -