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• W2004267918 endingPage "8563" @default.
• W2004267918 startingPage "8549" @default.
• W2004267918 abstract "We develop a perturbation expansion in the intersite hopping around the atomic limit of the Hubbard model. It is valid for arbitrary finite temperatures and interaction strengths. Diagrammatic rules that determine the grand-canonical potential and the Green's functions are derived. They reduce the calculation of any finite-order contribution to simple algebra. This opens the way for series extrapolations from computer-aided high-finite-order evaluations. Discrepancies in earlier expansions around the atomic limit are clarified. The present expansion scheme involves only connected diagrams with unrestricted lattice sums. This allows one to perform a vertex renormalization as for the linked-cluster expansion of the Ising model. The renormalized perturbation expansion can be used to construct self-consistent approximations which are automatically exact in the atomic limit. In the limit of high lattice dimensions, only fully two-particle reducible embeddings of diagrams on the lattice contribute. The single-particle properties of the infinite-dimensional Hubbard model reduce to those of independent tight-binding fermions hopping between dressed sites." @default.
• W2004267918 created "2016-06-24" @default.
• W2004267918 creator A5076102644 @default.
• W2004267918 date "1991-04-01" @default.
• W2004267918 modified "2023-10-18" @default.
• W2004267918 title "Linked-cluster expansion around the atomic limit of the Hubbard model" @default.
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• W2004267918 doi "https://doi.org/10.1103/physrevb.43.8549" @default.
• W2004267918 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/9996486" @default.
• W2004267918 hasPublicationYear "1991" @default.
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