We employ a recently developed computational many-body technique to study for the first time the half-filled Anderson-Hubbard model at finite temperature and arbitrary correlation U and disorder V strengths. Interestingly, the narrow zero temperature metallic range induced by disorder from the Mott insulator expands with increasing temperature in a manner resembling a quantum critical point. Our study of the resistivity temperature scaling T^{α} for this metal reveals non-Fermi liquid characteristics. Moreover, a continuous dependence of α on U and V from linear to nearly quadratic is observed. We argue that these exotic results arise from a systematic change with U and V of the "effective" disorder, a combination of quenched disorder and intrinsic localized spins.We employ a recently developed computational many-body technique to study for the first time the half-filled Anderson-Hubbard model at finite temperature and arbitrary correlation U and disorder V strengths. Interestingly, the narrow zero temperature metallic range induced by disorder from the Mott insulator expands with increasing temperature in a manner resembling a quantum critical point. Our study of the resistivity temperature scaling T^{α} for this metal reveals non-Fermi liquid characteristics. Moreover, a continuous dependence of α on U and V from linear to nearly quadratic is observed. We argue that these exotic results arise from a systematic change with U and V of the "effective" disorder, a combination of quenched disorder and intrinsic localized spins.

arXiv:1702.05612Physical Review LettersAug 24, 201732 citations

Renormalization-group study of the Anderson-Hubbard model

Michael Ma

We study the half-filled Hubbard model with random on-site energies with the use of a real-space renormalization group. For $d=1$ , we find a transition from an Anderson insulator to a Hubbard insulator as the Hubbard $U$ is increased. We find no metallic phase. For $d=3$ , we find a metallic phase which, surprisingly, is stabilized against Anderson localization by a small Hubbard $U$ .We study the half-filled Hubbard model with random on-site energies with the use of a real-space renormalization group. For $d=1$, we find a transition from an Anderson insulator to a Hubbard insulator as the Hubbard $U$ is increased. We find no metallic phase. For $d=3$, we find a metallic phase which, surprisingly, is stabilized against Anderson localization by a small Hubbard $U$.

Physical review. B, Condensed matterNov 1, 198269 citations

Resistivity calculation for the Hubbard model in the metallic state

Walther Schiller, GERD RÖPKE, V. Christoph

physica status solidi (b)Nov 1, 19759 citations

Phase Diagram of the Two-Dimensional Anderson-Hubbard Model

Jaichul Yi Lizeng Zhang, Geoffrey Canright

We study the ground state of the two-dimensional Anderson-Hubbard model using a quantum real space renormalization group method. We obtain the phase diagram near half filling. The system is always insulating with disorder. At half filling, the system undergoes a transition from a gapless (Anderson) insulator to an incompressible (Mott-Hubbard) insulator as the interaction $U$ reaches a critical value $U_c$ . Away from half filling, the insulating phase is always gapless and is found to be controlled by the Anderson fixed point at half filling. This result is similar to that obtained in the corresponding one dimensional system and suggests strongly the importance of the electron-electron correlation in this gapless insulating phase.We study the ground state of the two-dimensional Anderson-Hubbard model using a quantum real space renormalization group method. We obtain the phase diagram near half filling. The system is always insulating with disorder. At half filling, the system undergoes a transition from a gapless (Anderson) insulator to an incompressible (Mott-Hubbard) insulator as the interaction $U$ reaches a critical value $U_c$. Away from half filling, the insulating phase is always gapless and is found to be controlled by the Anderson fixed point at half filling. This result is similar to that obtained in the corresponding one dimensional system and suggests strongly the importance of the electron-electron correlation in this gapless insulating phase.

arXiv:cond-mat/9403002Mar 1, 19940 citations

Metal-insulator transition in the Hubbard model

R. Bulla, Thomas Pruschke, Alex C. Hewson

Physica B Condensed MatterJan 1, 19999 citations

We study the half-filled Hubbard model with random on-site energies with the use of a real-space renormalization group. For

d=1

, we find a transition from an Anderson insulator to a Hubbard insulator as the Hubbard

U

is increased. We find no metallic phase. For

d=3

, we find a metallic phase which, surprisingly, is stabilized against Anderson localization by a small Hubbard

U

U

reaches a critical value

U_c

. Away from half filling, the insulating phase is always gapless and is found to be controlled by the Anderson fixed point at half filling. This result is similar to that obtained in the corresponding one dimensional system and suggests strongly the importance of the electron-electron correlation in this gapless insulating phase.