Ergodic Archimedean dimers

We study perfect matchings, or close-packed dimer coverings, of finite sections of the eleven Archimedean lattices and give a constructive proof showing that any two perfect matchings can be transformed into each other using small sets of local ring-exchange moves. This result has direct consequence...

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Bibliographic Details
Main Author: Henrik Schou Røising, Zhao Zhang
Format: Article
Language:English
Published: SciPost 2023-08-01
Series:SciPost Physics Core
Online Access:https://scipost.org/SciPostPhysCore.6.3.054