Frustration of antiferromagnetism in the t-t'-Hubbard model at weak coupling

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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5 pages revtex, 5 eps figures; typos corrected and a discussion about the applicability to two-dimensional organic superconduc

Scientific paper

The perfect-nesting instability towards antiferromagnetism of the Hubbard model is suppressed by next-nearest neighbor hopping t'. The exact asymptotic behavior of the critical coupling U_c(t') at small t' is calculated in dimensions d=2,3 and infinity using Hartree theory, and the order of the transition is determined. A region of stability of a metallic antiferromagnetic phase in d=3 is identified.

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