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Frustration of antiferromagnetism in the t‐t ′‐Hubbard model at weak coupling
Author(s) -
Hofstetter W.,
Vollhardt D.
Publication year - 1998
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.2060070105
Subject(s) - antiferromagnetism , physics , frustration , condensed matter physics , hubbard model , coupling (piping) , instability , order (exchange) , mathematical physics , quantum mechanics , superconductivity , materials science , finance , economics , metallurgy
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 U t ( 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.