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Keywords:

  • 71.27.+a Strongly correlated electron systems;
  • 75.10. Lp Band and itinerant models;
  • 75.30. Kz Magnetic phase boundaries

Abstract

The perfect-nesting instability towards antiferromagnetism of the Hubbard model is suppressed by next-nearest neighbor hopping t′. The asymptotic behavior of the critical coupling Uc(t′) at small t′ is calculated in dimensions d = 2,3, ∞ using Hartree theory; this yields the exact result at least in d > 2. The order of the transition is also determined. A region of stability of a metallic antiferromagnetic phase in d = 3 is identified.