Supersymmetric t - J model: An exact result for two dimensions

Journal Article · Mon Apr 01 04:00:00 EST 1991 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.43.8698· OSTI ID:5675923

Cappon, K ^[1]

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1. Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7 (CA) Principia Microsystems Inc., 12 Caines Avenue, North York, Ontario, Canada M2M 1G2

The {ital t}-{ital J} model exhibits an additional symmetry at {ital J}=2{ital t}. The irreducible representations of this symmetry include states with different quantities of holes and total spin. This leads to degeneracies between systems with differing number of holes and gives an upper bound on the ground-state energy for one- and two-hole systems of arbitrary dimension. Also, it leads to an exact result for the difference in the ground-state energy for momenta {bold k}=(0,0) and {bold k}=({pi},{pi}) between the single-hole {ital t}-{ital J} model and the Heisenberg antiferromagnet in two dimensions.

• OSTI ID: 5675923
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 43:10; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETISM
CRYSTAL MODELS
ENERGY LEVELS
GROUND STATES
HEISENBERG MODEL
HIGH-TC SUPERCONDUCTORS
IRREDUCIBLE REPRESENTATIONS
MAGNETISM
MATHEMATICAL MODELS
SUPERCONDUCTORS
SUPERSYMMETRY
SYMMETRY