Delocalizing effect of the Hubbard repulsion for electrons on a two-dimensional disordered lattice

Abstract

We study numerically the ground-state properties of the repulsive Hubbard model for spin-1/2 electrons on two-dimensional lattices with disordered on-site energies. The projector quantum Monte Carlo method is used to obtain very accurate values of the ground-state charge density distributions with $N_p$ and $N_p+1$ particles. The difference in these charge densities allows us to study the localization properties of an added particle. The results obtained at quarter-filling on finite clusters show that the Hubbard repulsion has a strong delocalizing effect on the electrons in disordered 2D lattices. However, numerical restrictions do not allow us to reach a definite conclusion about the existence of a metal-insulator transition in the thermodynamic limit in two-dimensions.

revtex, 7 pages, 7 figures

References in corpus (16)

• Correlated Electrons in High Temperature Superconductors
• Metallic behavior and related phenomena in two dimensions
• Statistics of energy levels and eigenfunctions in disordered systems
• Conducting phase in the two-dimensional disordered Hubbard model
• Do interactions increase or reduce the conductance of disordered electrons? It depends!
• A new quantum phase between the Fermi glass and the Wigner crystal in two dimensions
• Disorder and Interaction in 2D: Exact diagonalization study of the Anderson-Hubbard-Mott model
• Low energy transition in spectral statistics of 2D interactingfermions
• Spin Polarized Ground State for Interacting Electrons in Two Dimensions
• Transition to an Insulating Phase Induced by Attractive Interactions in the Disordered Three-Dimensional Hubbard Model
• Role of a parallel magnetic field in two dimensional disordered clusters containing a few correlated electrons
• The Parallel Magnetoconductance of Interacting Electrons in a Two Dimensional Disordered System
• Compressibility crossover and quantum opening of a gap for two dimensional disordered clusters with Coulomb repulsion
• Ground state properties of the 2D disordered Hubbard model
• Disorder and superconductivity : a new phase of bi-particle localized states
• From localization to delocalization in the quantum Coulomb glass

Cited by in corpus (20)

• Dynamical Mean Field Study of the Two-Dimensional Disordered Hubbard Model
• Non Fermi liquid behavior and continuously tunable resistivity exponents in the Anderson-Hubbard model at finite temperature
• Interacting electrons in a two-dimensional disordered environment: Effect of a Zeeman magnetic field
• The energy scale behind the metallic behaviors in low-density Si-MOSFETs
• Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories
• Self-consistent study of Anderson localization in the Anderson-Hubbard model in two and three dimensions
• The two-dimensional disordered Mott metal-insulator transition
• Local Spectroscopies Reveal Percolative Metal in Disordered Mott Insulators
• Machine learning predictions for local electronic properties of disordered correlated electron systems
• Static Screening and Delocalization Effects in the Hubbard-Anderson Model
• Physical mechanism for a kinetic energy driven zero-bias anomaly in the Anderson-Hubbard model
• Doping-dependent metal-insulator transition in a disordered Hubbard model
• Strong-coupling perturbative study of the disordered Hubbard model on honeycomb lattice
• Radiative Properties of an Artificial Atom coupled to a Josephson Junction Array
• Anderson-Mott transition in a disordered Hubbard model with correlated hopping
• 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
• Non-Gaussian Spatial Correlations Dramatically Weaken Localization
• Transport and spectroscopic signatures of a disorder-stabilized metal in two-dimensional frustrated Mott insulators
• Anderson localization: a density matrix approach