Exact solution and correlations of a dimer model on the checkerboard lattice

Wildeboer, Julia; Nussinov, Zohar; Seidel, Alexander

doi:10.1103/PhysRevB.102.020401

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Exact solution and correlations of a dimer model on the checkerboard lattice

MPS-Authors

/persons/resource/persons248174

Wildeboer, Julia
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

2003.12084.pdf
(Preprint), 377KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Wildeboer, J., Nussinov, Z., & Seidel, A. (2020). Exact solution and correlations of a dimer model on the checkerboard lattice. Physical Review B, 102(2): 020401. doi:10.1103/PhysRevB.102.020401.

Cite as: https://hdl.handle.net/21.11116/0000-0007-4475-9

Abstract

We present analytic results for a special dimer model on the nonbipartite and nonplanar checkerboard lattice that does not allow for parallel dimers surrounding diagonal links. We 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 nonplanar, is in close kinship with well-known paradigm-setting planar counterparts that allow exact mappings to Z(2) lattice gauge theory.