Ground state properties of the 2D disordered Hubbard model

Abstract

We study the ground state of the two-dimensional (2D) disordered Hubbard model by means of the projector quantum Monte Carlo (PQMC) method. This approach allows us to investigate the ground state properties of this model for lattice sizes up to $10\times 10$, at quarter filling, for a broad range of interaction and disorder strengths. Our results show that the ground state of this system of spin-1/2 fermions remains localised in the presence of the short-ranged Hubbard interaction.

7 pages, 9 figures

References in corpus (6)

• Statistics of energy levels and eigenfunctions in disordered systems
• Conducting phase in the two-dimensional disordered Hubbard model
• A new quantum phase between the Fermi glass and the Wigner crystal in two dimensions
• Metallic low-temperature resistivity in 2D over an extended temperature range
• Delocalized Coulomb phase in two dimensions
• Quantum ergodicity for electrons in two dimensions

Cited by in corpus (5)

• Delocalizing effect of the Hubbard repulsion for electrons on a two-dimensional disordered lattice
• Interacting electrons in a two-dimensional disordered environment: Effect of a Zeeman magnetic field
• Do metals exist in two dimensions? A study of many-body localisation in low density electron gas
• A numerical finite size scaling approach to many-body localization
• Optical conductivity of a metal-insulator transition for the Anderson-Hubbard model in 3 dimensions away from 1/2 filling