2020/11/30 by Nisheeta Desai, Sumiran Pujari, K. Damle +1 · 12 citations
Chemistry · Physics and Astronomy · #Advanced Condensed Matter Physics #Bilayer #Chemistry #Condensed matter physics #Coulomb #Dimer #Electron #Ising model #Multicritical point #Nuclear magnetic resonance #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Power law #Quantum mechanics #Square lattice #Theoretical and Computational Physics #Tricritical point #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.103.042136
published in Physical review. E 103(4), 042136 (American Physical Society) · Minor changes from v2 in response to copy editor's comments. Closely matches published version
openalex publication_date 2021/04/26 · arxiv created 2021/04/30 · arxiv updated 2021/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Using renormalization group (RG) analyses and Monte Carlo (MC) simulations, we study the fully packed dimer model on the bilayer square lattice with fugacity equal to z (1) for interlayer (intralayer) dimers, and intralayer interaction V between neighboring parallel dimers on any elementary plaquette in either layer. For a range of not-too-large z>0 and repulsive interactions 0<V<Vs (with Vs≈2.1), we demonstrate the existence of a bilayer Coulomb phase with purely dipolar two-point functions, i.e., without the power-law columnar order that characterizes the usual Coulomb phase of square and honeycomb lattice dimer models. The transition line zc(V) separating this bilayer Coulomb phase from a large-z disordered phase is argued to be in the inverted Kosterlitz-Thouless universality class. Additionally, we argue for the possibility of a tricritical point at which the bilayer Coulomb phase, the large-z disordered phase and the large-V staggered phase meet in the large-z, large-V part of the phase diagram. In contrast, for the attractive case with Vcb<V≤0 (Vcb≈-1.2), we argue that any z>0 destroys the power-law correlations of the z=0 decoupled layers, and leads immediately to a short-range correlated state, albeit with a slow crossover for small |V|. For Vc<V<Vcb (Vc≈-1.55), we predict that any small nonzero z immediately gives rise to long-range bilayer columnar order although the z=0 decoupled layers remain power-law correlated in this regime; this implies a nonmonotonic z dependence of the columnar order parameter for fixed V in this regime. Further, our RG arguments predict that this bilayer columnar ordered state is separated from the large-z disordered state by a line of Ashkin-Teller transitions zAT(V). Finally, for V<Vc, the z=0 decoupled layers are already characterized by long-range columnar order, and a small nonzero z leads immediately to a locking of the order parameters of the two layers, giving rise to the same bilayer columnar ordered state for small nonzero z.