In this paper, we present a determinant quantum Monte Carlo study of the two-dimensional Hubbard model with random site disorder. We show that, as in the case of bond disorder, the system undergoes a transition from an Anderson insulating phase to a metallic phase as the on-site repulsion $U$ is increased beyond a critical value ${U}_{c}$ . However, there appears to be no sharp signal of this metal-insulator transition in the screened site energies. We observe that, while the system remains metallic for interaction values up to twice ${U}_{c}$ , the conductivity is maximal in the metallic phase just beyond ${U}_{c}$ and decreases for larger correlation.In this paper, we present a determinant quantum Monte Carlo study of the two-dimensional Hubbard model with random site disorder. We show that, as in the case of bond disorder, the system undergoes a transition from an Anderson insulating phase to a metallic phase as the on-site repulsion $U$ is increased beyond a critical value ${U}_{c}$. However, there appears to be no sharp signal of this metal-insulator transition in the screened site energies. We observe that, while the system remains metallic for interaction values up to twice ${U}_{c}$, the conductivity is maximal in the metallic phase just beyond ${U}_{c}$ and decreases for larger correlation.

arXiv:cond-mat/0609717Physical Review BMar 26, 200721 citations

Metal-insulator transition in highly correlated systems

C. A. Büsser, E. V. Anda, Laura Urba +2 more

Journal of Magnetism and Magnetic MaterialsJan 1, 19982 citations

Metal-insulator transitions in the disordered Hubbard model

V. Janiš, M. Ulmke, D. Vollhardt

Physica B Condensed MatterFeb 1, 19940 citations

Metal-insulator transitions in the Falicov-Kimball model with disorder

Krzysztof Byczuk

The ground-state phase diagrams of the Falicov-Kimball model with local disorder are derived within the dynamical mean-field theory and using the geometrically averaged (``typical'') local density of states. Correlated metal, Mott insulator, and Anderson insulator phases are identified. The metal-insulator transitions are found to be continuous. The interaction and disorder compete with each other stabilizing the metallic phase against the occurring one of the insulators. The Mott and Anderson insulators are found to be continuously connected.The ground-state phase diagrams of the Falicov-Kimball model with local disorder are derived within the dynamical mean-field theory and using the geometrically averaged (``typical'') local density of states. Correlated metal, Mott insulator, and Anderson insulator phases are identified. The metal-insulator transitions are found to be continuous. The interaction and disorder compete with each other stabilizing the metallic phase against the occurring one of the insulators. The Mott and Anderson insulators are found to be continuously connected.

arXiv:cond-mat/0412590Physical Review BMay 6, 200537 citations

Universal role of quantum uncertainty in Anderson metal–insulator transition

W. W. Cheng, Z.J. Zhang, Longyan Gong +1 more

Annals of PhysicsApr 3, 20165 citations

Anderson localization effects near the Mott metal-insulator transition

Helena Bragança, Maria C. O. Aguiar, J. Vučičević +2 more

The interplay between Mott and Anderson routes to localization in disordered interacting systems gives rise to different transitions and transport regimes. Here, we investigate the phase diagram at finite temperatures using dynamical mean-field theory combined with typical medium theory, which is an effective theory of the Mott-Anderson metal-insulator transition. We mainly focus on the properties of the coexistence region associated with the Mott phase transition. For weak disorder, the coexistence region is found to be similar to that in the clean case. However, as we increase disorder, Anderson localization effects are responsible for shrinking the coexistence region, and at sufficiently strong disorder (approximately equal to twice the bare bandwidth) it drastically narrows, the critical temperature ${T}_{c}$ abruptly goes to zero, and we observe a phase transition in the absence of a coexistence of the metallic and insulating phases. In this regime, the effects of interaction and disorder are found to be of comparable importance for charge localization.The interplay between Mott and Anderson routes to localization in disordered interacting systems gives rise to different transitions and transport regimes. Here, we investigate the phase diagram at finite temperatures using dynamical mean-field theory combined with typical medium theory, which is an effective theory of the Mott-Anderson metal-insulator transition. We mainly focus on the properties of the coexistence region associated with the Mott phase transition. For weak disorder, the coexistence region is found to be similar to that in the clean case. However, as we increase disorder, Anderson localization effects are responsible for shrinking the coexistence region, and at sufficiently strong disorder (approximately equal to twice the bare bandwidth) it drastically narrows, the critical temperature ${T}_{c}$ abruptly goes to zero, and we observe a phase transition in the absence of a coexistence of the metallic and insulating phases. In this regime, the effects of interaction and disorder are found to be of comparable importance for charge localization.

arXiv:1507.04360Physical Review BSep 24, 201530 citations

U

is increased beyond a critical value

{U}_{c}

. However, there appears to be no sharp signal of this metal-insulator transition in the screened site energies. We observe that, while the system remains metallic for interaction values up to twice

{U}_{c}

, the conductivity is maximal in the metallic phase just beyond

{U}_{c}

and decreases for larger correlation.

{T}_{c}

abruptly goes to zero, and we observe a phase transition in the absence of a coexistence of the metallic and insulating phases. In this regime, the effects of interaction and disorder are found to be of comparable importance for charge localization.