Dielectric response of Anderson and pseudogapped insulators

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.

9 pages

References in corpus (5)

• Localization of preformed Cooper-pairs in disordered superconductors
• Eigenfunction fractality and pseudogap state near superconductor-insulator transition
• Microwave-induced excess quasiparticles in superconducting resonators measured through correlated conductivity fluctuations
• Correlations of the local density of states in quasi-one-dimensional wires
• Low-energy dynamical response of an Anderson insulator with local attraction

Cited by in corpus (7)

• Mott, Floquet, and the response of periodically driven Anderson insulators
• Overactivated transport in the localized phase of the superconductor-insulator transition
• Characterizing dielectric properties of ultra-thin films using superconducting coplanar microwave resonators
• Electron-phonon cooling power in Anderson insulators
• Anyon superconductivity and plateau transitions in doped fractional quantum anomalous Hall insulators
• Mean-field theory of first-order quantum superconductor-insulator transition
• Atomically Thin Amorphous Carbon with an Ultralow Dielectric Constant