Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2000-01-26
Physics
Condensed Matter
Strongly Correlated Electrons
8 pages, 2 figures
Scientific paper
10.1103/PhysRevB.62.13376
It was observed previously that an SU(N) extension of the Hubbard model is dominated, at large N, by planar diagrams in the sense of 't Hooft, but the possibility of superconducting pairing got lost in this extrapolation. To allow for this possibility, we replace SU(N) by U(N,q), the unitary group in a vector space of quaternions. At the level of the free energy, the difference between the SU(N)and U(N,q) extrapolations appears only to first nonleading order in N.
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