Exact results for the U = infinity Hubbard model

Journal Article · Mon Oct 01 04:00:00 EDT 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.42.6612· OSTI ID:6097073

Trugman, S A ^[1]

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1. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM (USA)

Several rigorous results are obtained for the {ital U}={infinity} Hubbard model, including a lower bound on the energy for any finite number of holes relative to half filling. The bound implies that the ferromagnetic state becomes asymptotically degenerate with the exact ground state in the thermodynamic limit, and that added holes do not form bound states. An alternate derivation of Nagaoka's theorem is obtained.

• OSTI ID: 6097073
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 42:10; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BAND THEORY
ELECTRIC CONDUCTIVITY
ELECTRIC CONDUCTORS
ELECTRICAL EQUIPMENT
ELECTRICAL INSULATORS
ELECTRICAL PROPERTIES
ELECTRON-ELECTRON COUPLING
EQUIPMENT
FERROMAGNETIC MATERIALS
HOLES
LIMITING VALUES
MAGNETIC MATERIALS
MATERIALS
MATHEMATICAL MODELS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SOLIDS
SUPERCONDUCTIVITY