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Rogers-Ramanujan identities in the hard hexagon model

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Abstract

The hard hexagon model in statistical mechanics is a special case of a solvable class of hard-square-type models, in which certain special diagonal interactions are added. The sublattice densities and order parameters of this class are obtained, and it is shown that many Rogers-Ramanujan-type identities naturally enter the working.

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Supported in part by the National Science Foundation under Grant No. PHY-79-06376A01.

Part of this work was performed while the author was a visiting professor at the Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794.

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Baxter, R.J. Rogers-Ramanujan identities in the hard hexagon model. J Stat Phys 26, 427–452 (1981). https://doi.org/10.1007/BF01011427

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