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arXiv · 2003.12084

Exact Solution and Correlations of a Quantum Dimer Model on the Checkerboard Lattice

Julia Wildeboer·Zohar Nussinov·Alexander Seidel
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Abstract

We present analytic results for a special dimer model on the {\em non-bipartite} and {\em non-planar} checkerboard lattice that does not allow for parallel dimers surrounding diagonal links. We {\em exactly} calculate the number of closed packed dimer coverings on finite checkerboard lattices under periodic boundary conditions, and determine all dimer-dimer correlations. The latter are found to vanish beyond a certain distance. We find that this solvable model, despite being non-planar, is in close kinship with well-known paradigm-setting planar counterparts that allow exact mappings to $\mathbb{Z}_2$ lattice gauge theory.

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Julia Wildeboer, Zohar Nussinov, Alexander Seidel. 2020-03-26. Exact Solution and Correlations of a Quantum Dimer Model on the Checkerboard Lattice. https://doi.org/10.1103/physrevb.102.020401

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