The columnar-disorder phase boundary in a mixture of hard squares and dimers

Abstract

A mixture of hard squares, dimers and vacancies on a square lattice is known to undergo a transition from a low-density disordered phase to high-density columnar ordered phase. Along the fully packed square-dimer line, the system undergoes an Kosterliz-Thouless type transition to a phase with power law correlations. We estimate the phase boundary separating the ordered and disordered phases by calculating the interfacial tension between two differently ordered phases within two different approximation schemes. The analytically obtained phase boundary is in good agreement with Monte Carlo simulations.

11 pages, 13 figures

References in corpus (10)

• Monte Carlo simulations of 2d hard core lattice gases
• Random trimer tilings
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• Monolayers of hard rods on planar substrates: I. Equilibrium
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Cited by in corpus (4)

• Entropy of fully packed hard rigid rods on $d$-dimensional hyper-cubic lattices
• Phase transitions in a system of hard $Y$-shaped particles on the triangular lattice
• Positional ordering of hard adsorbate particles in tubular nanopores
• Phases of the hard-plate lattice gas on a three-dimensional cubic lattice