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Exact Solution of a Three-Dimensional Dimer System

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

We consider a three-dimensional lattice model consisting of layers of vertex models coupled with interlayer interactions. For a particular non-trivial interlayer interaction between charge-conserving vertex models and using a transfer matrix approach, we show that the eigenvalues and eigenvectors of the transfer matrix are related to those of the two-dimensional vertex model. The result is applied to analyze the phase transitions in a realistic three-dimensional dimer system.

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H. Y. Huang, V. Popkov, F. Y. Wu. 1996-10-25. Exact Solution of a Three-Dimensional Dimer System. https://doi.org/10.1103/physrevlett.78.409

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