Exact solutions of frustrated ordinary and chiral eight-site Hubbard models

This contribution addresses the question of whether or not the ground state of a frustrated spin-1/2 Heisenberg model can be smoothly related to the ground state of a simple tight-binding model at half-filling in an appropriately chosen magnetic field. This continuity is considered explicitly for an...

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Bibliographic Details
Published in:Physical review. B, Condensed matter Condensed matter, 1991-07, Vol.44 (4), p.1458-1474
Main Authors: FREERICKS, J. K, FALICOV, L. M, ROKSHAR, D. S
Format: Article
Language:English
Subjects:
656100 - Condensed Matter Physics- Superconductivity
ANTIFERROMAGNETISM
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Condensed matter: electronic structure, electrical, magnetic, and optical properties
CRYSTAL MODELS
Exact sciences and technology
General theory and models of magnetic ordering
HEISENBERG MODEL
HIGH-TC SUPERCONDUCTORS
Magnetic properties and materials
MAGNETISM
MATHEMATICAL MODELS
Physics
Quantized spin models
SPIN EXCHANGE
SUPERCONDUCTORS
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Summary:This contribution addresses the question of whether or not the ground state of a frustrated spin-1/2 Heisenberg model can be smoothly related to the ground state of a simple tight-binding model at half-filling in an appropriately chosen magnetic field. This continuity is considered explicitly for an eight-site square-lattice Hubbard model with nearest- and next-nearest-neighbor hopping, which approaches a frustrated Heisenberg model with nearest- and next-nearest-neighbor antiferromagnetic exchange coupling in the limit of large Hubbard {ital U}. In addition, a counterexample to the widely held belief that the half-filled band of the ordinary Hubbard model is nonmagnetic has been found in the regime where the hopping parameters and Hubbard interaction are all the same order of magnitude.
ISSN:0163-1829
1095-3795
DOI:10.1103/PhysRevB.44.1458