Exact Solution of a Three-Dimensional Dimer System

Details Exact Solution of a Three-Dimensional Dimer System Exact Solution of a Three-Dimensional Dimer System

1996-10-25

arxiv.org/abs/cond-mat/9610184v1

Physcial Review Letters 78, 409-413 (1997).

Physics

Condensed Matter

Statistical Mechanics

11 pages in REVTex with 2 PS figures

Scientific paper

10.1103/PhysRevLett.78.409

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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