We study the ground state of the two-dimensional disordered Hubbard model by means of the projector quantum Monte Carlo method. This approach allows us to investigate the ground-state properties of this model for lattice sizes up to 10\ifmmode\times\else\texttimes\fi{}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- $\frac{1}{2}$ fermions remains localized in the presence of the short-ranged Hubbard interaction.We study the ground state of the two-dimensional disordered Hubbard model by means of the projector quantum Monte Carlo method. This approach allows us to investigate the ground-state properties of this model for lattice sizes up to 10\ifmmode\times\else\texttimes\fi{}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-$\frac{1}{2}$ fermions remains localized in the presence of the short-ranged Hubbard interaction.

arXiv:cond-mat/0004092Physical review. B, Condensed matterOct 15, 20007 citations

Two-dimensional Hubbard model at low-electron density

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Jan 1, 19921 citation

Universal Hubbard models with arbitrary symmetry

Giovanni Feverati, L. Frappat, E. Ragoucy

We propose a general framework that leads to one-dimensional XX and Hubbard models in full generality, based on the decomposition of an arbitrary vector space (possibly infinite dimensional) into a direct sum of two subspaces, the two corresponding orthogonal projectors allowing one to define a R-matrix of a universal XX model, and then of a Hubbard model using a Shastry type construction. The QISM approach ensures integrability of the models, the properties of the obtained R-matrices leading to local Hubbard-like Hamiltonians. In all cases, the energies, the symmetry algebras and the scattering matrices are explicitly determined. The computation of the Bethe Ansatz equations for some subsectors of the universal Hubbard theories are determined, while they are fully computed in the XX case. A perturbative calculation in the large coupling regime is also done for the universal Hubbard models.We propose a general framework that leads to one-dimensional XX and Hubbard models in full generality, based on the decomposition of an arbitrary vector space (possibly infinite dimensional) into a direct sum of two subspaces, the two corresponding orthogonal projectors allowing one to define a R-matrix of a universal XX model, and then of a Hubbard model using a Shastry type construction. The QISM approach ensures integrability of the models, the properties of the obtained R-matrices leading to local Hubbard-like Hamiltonians. In all cases, the energies, the symmetry algebras and the scattering matrices are explicitly determined. The computation of the Bethe Ansatz equations for some subsectors of the universal Hubbard theories are determined, while they are fully computed in the XX case. A perturbative calculation in the large coupling regime is also done for the universal Hubbard models.

Jan 1, 20092 citations

\frac{1}{2}

fermions remains localized in the presence of the short-ranged Hubbard interaction.