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Classical Dimers on Penrose Tilings

We study the classical dimer model on rhombic Penrose tilings, whose edges and vertices may be identified as those of a bipartite graph. We find that Penrose tilings do not admit perfect matchings (defect-free dimer coverings). Instead, their maximum matchings have a monomer density of 81−50φ≈0.098...

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Ngā kaituhi matua: Felix Flicker, Steven H. Simon, S. A. Parameswaran
Hōputu: Artigo
Reo:Inglês
I whakaputaina: American Physical Society 2020-01-01
Rangatū:Physical Review X
Urunga tuihono:http://doi.org/10.1103/PhysRevX.10.011005
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