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Lattice Statistics in Three Dimensions: Exact Solution of Layered Dimer and Layered Domain Wall Models

V. Popkov·Doochul Kim·H. Y. Huang·F. Y. Wu
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Abstract

Exact analyses are given for two three-dimensional lattice systems: A system of close-packed dimers placed in layers of honeycomb lattices and a layered triangular-lattice interacting domain wall model, both with nontrivial interlayer interactions. We show that both models are equivalent to a 5-vertex model on the square lattice with interlayer vertex-vertex interactions. Using the method of Bethe ansatz, a closed-form expression for the free energy is obtained and analyzed. We deduce the exact phase diagram and determine the nature of the phase transitions as a function of the strength of the interlayer interaction.

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V. Popkov, Doochul Kim, H. Y. Huang, F. Y. Wu. 1997-03-06. Lattice Statistics in Three Dimensions: Exact Solution of Layered Dimer and Layered Domain Wall Models. https://doi.org/10.1103/physreve.56.3999

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