Interacting lattice electrons with disorder in two dimensions: Numerical evidence for a metal-insulator transition with a universal critical conductivity

Abstract

The dc-conductivity of electrons on a square lattice interacting with a local repulsion in the presence of disorder is computed by means of quantum Monte Carlo simulations. We provide evidence for the existence of a transition from an Anderson insulator to a correlated disordered metal with a universal value of the critical dc-conductivity σ_{dc,crit} = (1.18 \pm 0.06) e^{2}/h at the transition.

4 pages, 3 figures, 1 table

References in corpus (6)

• Many-Body Physics with Ultracold Gases
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Metal-insulator transition in two-dimensional electron systems
• Quantum criticality and minimal conductivity in graphene with long-range disorder
• The Observation of Percolation-Induced 2D Metal-Insulator Transition in a Si MOSFET
• Competition between Anderson localization and antiferromagnetism in correlated lattice fermion systems with disorder

Cited by in corpus (9)

• Toward an artificial Mott insulator: Correlations in confined, high-density electron liquids in SrTiO3
• Finite-size effects in transport data from Quantum Monte Carlo simulations
• Dual Fermion Method for Disordered Electronic Systems
• Emergence of non-Fermi liquid dynamics through non-local correlations in an interacting disordered system
• Doping-dependent metal-insulator transition in a disordered Hubbard model
• Magnetic properties of interacting, disordered electron systems in d=2 dimensions
• Thermodynamic properties of correlated fermions in lattices with spin-dependent disorder
• Mean-field embedding of the dual fermion approach for correlated electron systems
• Anderson localization: a density matrix approach