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Interacting double dimer model on the square lattice

Wilkins, Neil; Powell, Stephen

Interacting double dimer model on the square lattice Thumbnail


Neil Wilkins


We study phases and transitions of the square-lattice double dimer model, consisting of two coupled replicas of the classical dimer model. As on the cubic lattice, we find a thermal phase transition from the Coulomb phase, a disordered but correlated dimer liquid, to a phase where fluctuations of the two replicas are closely synchronized with one another. Surprisingly, and in contrast to the cubic case, the phase boundary includes the noninteracting point, as we establish using a symmetry-based analysis of an effective height theory, indicating that infinitesimal coupling is sufficient to synchronize the double dimer model. In addition, we observe a novel antisynchronized phase when the coupling between replicas is repulsive, and use Monte Carlo simulations to establish the full phase diagram, including (anti)synchronized columnar and staggered phases, with interactions between parallel dimers in each replica.

Journal Article Type Article
Acceptance Date Oct 30, 2020
Online Publication Date Nov 19, 2020
Publication Date Nov 19, 2020
Deposit Date Nov 16, 2020
Publicly Available Date Nov 19, 2020
Journal Physical Review B
Print ISSN 2469-9950
Electronic ISSN 2469-9969
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 102
Issue 17
Article Number 174431
Public URL
Publisher URL


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