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Volumn 66, Issue 11, 2002, Pages 1151081-11510815

Antiferromagnetism in the exact ground state of the half-filled Hubbard model on the complete bipartite graph

Author keywords

[No Author keywords available]

Indexed keywords

FERROMAGNETIC MATERIAL;

EID: 0037105084     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.115108     Document Type: Article
Times cited : (4)

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    • note
    • x.P(y).
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    • note
    • At weak coupling it makes sense to speak about particles in filled shells, which behave much as core electrons in atomic physics, and particles in partially filled, or valence, shells. In first order, we must diagonalize the perturbation W in the degenerate subspace, dropping the filled shells. Since W is a positive semidefinite operator, with vanishing eigenvalue, 0 is necessarily the lowest one. Typically, the first-order solution is a crude approximation to the exact one, but below, when discussing the exact results, we shall demonstrate that many of the qualitative features hold for all U.


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