Phase diagram of the two-dimensional Anderson-Hubbard model

Journal Article · Wed Jun 01 04:00:00 EDT 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.49.15920· OSTI ID:7238549

Yi, J; Zhang, L; Canright, G S ^[1]

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1. Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996-1200 (United States) Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)

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 [ital U] reaches a critical value [ital U][sub [ital 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.

• DOE Contract Number: AC05-84OR21400
• OSTI ID: 7238549
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 49:22; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665400* -- Quantum Physics Aspects of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATIONS
CRYSTAL MODELS
DIAGRAMS
ELECTRON CORRELATION
ENERGY GAP
ENERGY LEVELS
GROUND STATES
HUBBARD MODEL
MATHEMATICAL MODELS
PHASE DIAGRAMS
RENORMALIZATION
TWO-DIMENSIONAL CALCULATIONS