Variational Monte Carlo Study of Anderson Localization in the Hubbard Model

Abstract

We have studied the effects of interactions on persistent currents in half-filled and quarter-filled Hubbard models with weak and intermediate strength disorder. Calculations are performed using a variational Gutzwiller ansatz that describes short range correlations near the Mott transition. We apply an Aharonov-Bohm magnetic flux, which generates a persistent current that can be related to the Thouless conductance. The magnitude of the current depends on both the strength of the screened disorder potential and the strength of electron-electron correlations, and the Anderson localization length can be extracted from the scaling of the current with system size. At half filling, the persistent current is reduced by strong correlations when the interaction strength is large. Surprisingly, we find that the disorder potential is strongly screened in the large interaction limit, so that the localization length grows with increasing interaction strength even as the magnitude of the current is suppressed. This supports earlier dynamical mean field theory predictions that the elastic scattering rate is suppressed near the Mott transition.

7+epsilon pages

References in corpus (12)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Mott Transitions and d-wave Superconductivity in Half-Filled-Band Hubbard Model on Square Lattice with Geometric Frustration
• First order Mott transition at zero temperature in two dimensions: Variational plaquette study
• Critical behavior at Mott-Anderson transition: a TMT-DMFT perspective
• Dynamical Mean Field Study of the Two-Dimensional Disordered Hubbard Model
• Soft Hubbard gaps in disordered itinerant models with short-range interaction
• Disorder-Induced Stabilization of the Pseudogap in Strongly Correlated Systems
• Anderson-Hubbard model with box disorder: Statistical dynamical mean-field theory investigation
• Scaling analysis of normal state properties of high-temperature superconductors
• Self-consistent study of Anderson localization in the Anderson-Hubbard model in two and three dimensions
• Local moments and magnetic order in the two-dimensional Anderson-Mott transition
• Deviation from the Wiedemann-Franz law induced by nonmagnetic impurities in overdoped La_{2-x}Sr_{x}CuO_{4}

Cited by in corpus (3)

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