Dielectric response of Anderson and pseudogapped insulators

M. V. Feigel'man, D. A. Ivanov, E. Cuevas

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    4 Citations (Scopus)

    Abstract

    Using a combination of analytic and numerical methods, we study the polarizability of a (non-interacting) Anderson insulator in one-, two-, and three-dimensions and demonstrate that, in a wide range of parameters, it scales proportionally to the square of the localization length, contrary to earlier claims based on the effective-medium approximation. We further analyze the effect of electron-electron interactions on the dielectric constant in quasi-1D, quasi-2D and 3D materials with large localization length, including both Coulomb repulsion and phonon-mediated attraction. The phonon-mediated attraction (in the pseudogapped state on the insulating side of the superconductor-insulator transition) produces a correction to the dielectric constant, which may be detected from a linear response of a dielectric constant to an external magnetic field.

    Original languageEnglish
    Article number053045
    JournalNew Journal of Physics
    Volume20
    Issue number5
    DOIs
    Publication statusPublished - May 2018

    Keywords

    • Anderson localization
    • dielectric properties
    • pseudogap

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