Mott and Band Insulator Transitions in the Binary Alloy Hubbard Model

Abstract

We use determinant Quantum Monte Carlo simulations and exact diagonalization to explore insulating behavior in the Hubbard model with a bimodal distribution of randomly positioned local site energies. From the temperature dependence of the compressibility and conductivity, we show that gapped, incompressible Mott insulating phases exist away from half filling when the variance of the local site energies is sufficiently large. The compressible regions around this Mott phase are metallic only if the density of sites with the corresponding energy exceeds the percolation threshold, but are Anderson insulators otherwise.

5 pages, 5 figures

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• The two-dimensional disordered Mott metal-insulator transition
• Mixtures of correlated bosons and fermions: Dynamical mean-field theory for normal and condensed phases
• Phase transitions in the binary-alloy Hubbard model: insight from strong-coupling perturbation theory
• Optical conductivity of a metal-insulator transition for the Anderson-Hubbard model in 3 dimensions away from 1/2 filling
• Critiquing Variational Theories of the Anderson-Hubbard Model: Real-Space Self-Consistent Hartree-Fock Solutions