2020/07/31 by Neil Wilkins, N. P. Wilkins, Stephen Powell · 11 citations
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Coulomb #Dimer #Ising model #Lattice (music) #Material Dynamics and Properties #Mathematics #Monte Carlo method #Nuclear magnetic resonance #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Square lattice #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.102.174431
published in Physical review. B./Physical review. B 102(17) (American Physical Society) · 17 pages, 11 figures, 1 table; v2: improved discussion of critical properties in section IV C plus other minor changes
openalex publication_date 2020/11/19 · arxiv created 2020/11/20 · arxiv updated 2020/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.