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• W2054547089 abstract "We consider $1/d$ expansions for classical spin systems based on the vertex renormalized linked cluster expansion (LCE). The free multiplicities of the LCE graphs on a hypercubic lattice in an arbitrary dimension d are calculated using generating functions. The technique is applied to the Ising model and to a two-component classical lattice gas corresponding to an extended Hubbard model at half filling in the zero-bandwidth limit. We use a resummation of the LCE to generate $1/d$ expansions for the equation of state and for the critical temperature. The method, which is rather general and applicable to a wide range of models, proves convenient for calculating asymptotic power series expansions in $1/d.$ The vertex renormalized expansion is shown to break down at low temperature in higher order approximations, barring attempts to construct simple approximations that are both self-consistent and exact to some finite order in $1/d.$" @default.
• W2054547089 created "2016-06-24" @default.
• W2054547089 creator A5035899713 @default.
• W2054547089 creator A5041239378 @default.
• W2054547089 date "2000-12-11" @default.
• W2054547089 modified "2023-09-26" @default.
• W2054547089 title "Linked cluster expansion and1/dexpansions for classical spin systems" @default.
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• W2054547089 doi "https://doi.org/10.1103/physrevb.63.014403" @default.
• W2054547089 hasPublicationYear "2000" @default.
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