A local theory for Mott-Anderson localization

Abstract

The paramagnetic metallic phase of the Anderson-Hubbard model (AHM) is investigated using a non-perturbative local moment approach within the framework of dynamical mean field theory with a typical medium. Our focus is on the breakdown of the metallic phase near the metal-insulators transition as seen in the single-particle spectra, scattering rates and the associated distribution of Kondo scales. We demonstrate the emergence of a universal, underlying low energy scale, $T_K^{peak}$. This lies close to the peak of the distribution of Kondo scales obtained within the metallic phase of the paramagnetic AHM. Spectral dynamics for energies, $\omega \lesssim T_K^{peak}$ display Fermi liquid universality crossing over to an incoherent universal dynamics for $\omega \gg T_K^{peak}$ in the scaling regime. Such universal dynamics indicate that within a local theory the low to moderately low energy physics is governed by an effective, {\it disorder renormalised} Kondo screening.

13 pages 8 figures including appendix

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• The two-dimensional disordered Mott metal-insulator transition
• Local integrals of motion in the two-site Anderson-Hubbard model
• Fragility of the Kondo insulating gap against disorder: relevance to recent puzzles in topological Kondo insulators
• Emergence of non-Fermi liquid dynamics through non-local correlations in an interacting disordered system
• Anderson localization effects on doped Hubbard model
• Local density of states and scattering rates across the many-body localization transition