Phys. Rev. Lett. 75, 113–116 (1995)Systematic 1/d Corrections to the Infinite-Dimensional Limit of Correlated Lattice Electron ModelsReceived 6 March 1995; published in the issue dated 3 July 1995 We present a self-consistent treatment of Hubbard-like lattice models at large, but finite, spatial dimensions d. This involves a systematic expansion in powers of 1/d about the limit d = ∞. The first-order corrections can be obtained by self-consistent solution of coupled one- and two-impurity models. We calculate the leading corrections to properties of the Falicov-Kimball model. The infinite-dimensional limit seems to describe this particular model remarkably well even for d = 2. © 1995 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.113
DOI:
10.1103/PhysRevLett.75.113
PACS:
71.27.+a, 71.45.Lr, 75.10.Lp, 75.30.Fv
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