Strong-Coupling Expansion for the Hubbard Model

Details Strong-Coupling Expansion for the Hubbard Model Strong-Coupling Expansion for the Hubbard Model

1997-10-23

arxiv.org/abs/cond-mat/9710256v2

Phys. Rev. Lett. 80, 5389 (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, RevTex, 3 epsf figures included

Scientific paper

10.1103/PhysRevLett.80.5389

A strong-coupling expansion for models of correlated electrons in any dimension is presented. The method is applied to the Hubbard model in $d$ dimensions and compared with numerical results in $d=1$. Third order expansion of the Green function suffices to exhibit both the Mott metal-insulator transition and a low-temperature regime where antiferromagnetic correlations are strong. It is predicted that some of the weak photoemission signals observed in one-dimensional systems such as $SrCuO_2$ should become stronger as temperature increases away from the spin-charge separated state.

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