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

Ground States of the Hubbard Model

Assa Auerbach

Graduate texts in contemporary physicsJan 1, 19940 citations

Degenerate ground states of the two-dimensionalU=∞ Hubbard model

Zhenqing Yang, Yu-Lei Li, Ke-Cai Zeng +1 more

It is shown that for a definite cluster in the two-dimensional U=\ensuremath{\infty} Hubbard model, there are states in any ${\mathit{S}}^{\mathit{z}}$ sector, which are degenerate with the lowest state in the ${\mathit{S}}_{\mathrm{max}}^{\mathit{z}}$ sector. It is shown further that these states become the lowest ones in their sectors as the cluster becomes large enough, keeping the hole concentration constant. Then degenerate ground states of various ${\mathit{S}}^{\mathit{z}}$ are obtained. The properties of the ground state of any ${\mathit{S}}^{\mathit{z}}$ ${\mathit{S}}_{\mathrm{max}}^{\mathit{z}}$ can be found through those of the ground state of ${\mathit{S}}_{\mathrm{max}}^{\mathit{z}}$ .It is shown that for a definite cluster in the two-dimensional U=\ensuremath{\infty} Hubbard model, there are states in any ${\mathit{S}}^{\mathit{z}}$ sector, which are degenerate with the lowest state in the ${\mathit{S}}_{\mathrm{max}}^{\mathit{z}}$ sector. It is shown further that these states become the lowest ones in their sectors as the cluster becomes large enough, keeping the hole concentration constant. Then degenerate ground states of various ${\mathit{S}}^{\mathit{z}}$ are obtained. The properties of the ground state of any ${\mathit{S}}^{\mathit{z}}$${\mathit{S}}_{\mathrm{max}}^{\mathit{z}}$ can be found through those of the ground state of ${\mathit{S}}_{\mathrm{max}}^{\mathit{z}}$.

Physical review. B, Condensed matterJan 15, 19953 citations

The ground state of the Hubbard model

E. O. Aiyohuyin, A. A. Oni-Ojo

Journal of the Nigerian Association of Mathematical PhysicsJun 13, 20080 citations

\frac{1}{2}

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

It is shown that for a definite cluster in the two-dimensional U=\ensuremath{\infty} Hubbard model, there are states in any

{\mathit{S}}^{\mathit{z}}

sector, which are degenerate with the lowest state in the

{\mathit{S}}_{\mathrm{max}}^{\mathit{z}}

sector. It is shown further that these states become the lowest ones in their sectors as the cluster becomes large enough, keeping the hole concentration constant. Then degenerate ground states of various

{\mathit{S}}^{\mathit{z}}

are obtained. The properties of the ground state of any

{\mathit{S}}^{\mathit{z}}

{\mathit{S}}_{\mathrm{max}}^{\mathit{z}}

can be found through those of the ground state of

{\mathit{S}}_{\mathrm{max}}^{\mathit{z}}