Structural ordering of interacting dimers on a square lattice

Phares, Alain J.; Wunderlich, Francis J.; Curley, Jonathan D.; Grumbine, David

doi:10.1088/0305-4470/26/23/029

Cited by 54 publications

(60 citation statements)

References 29 publications

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“…Another route to this conclusion arises from the observation that the maximal density structure of Fig. 1 has been identified as the first of a set of zero-entropy "cusps" in a dimer model with strongly repulsive, but finite, nearest-neighbor interactions [9,10]. (These authors denote the structure of Fig.…”

Section: Figmentioning

confidence: 99%

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Discontinuous phase transition in a dimer lattice gas

Dickman

2012

The Journal of Chemical Physics

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I study a dimer model on the square lattice with nearest-neighbor exclusion as the only interaction. Detailed simulations using tomographic entropic sampling show that as the chemical potential is varied, there is a strongly discontinuous phase transition, at which the particle density jumps by about 18% of its maximum value, 1/4. The transition is accompanied by the onset of orientational order, to an arrangement corresponding to the {1/2, 0, 1/2} structure identified by Phares et al. [Physica B 409, 1096[Physica B 409, (2011] in a dimer model with finite repulsion at fixed density. Using finite-size scaling and Binder's cumulant, the expected scaling behavior at a discontinuous transition is verified in detail. The discontinuous transition can be understood qualitatively given that the model possesses eight equivalent maximum-density configurations, so that its coarse-grained description corresponds to that of the q = 8 Potts model.

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Section: Figmentioning

confidence: 99%

“…In the two-dimensional case the model represents adsorption of diatomic molecules on a crystalline surface, which has motivated extensive study [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Discontinuous phase transition in a dimer lattice gas

Dickman

2012

The Journal of Chemical Physics

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“…The general features of our lattice model and comparison with others have been described at length in a series of articles published in the past 9 years [5][6][7][8][9][10][11][12][13]. For completeness, the following summary intends to make the article self-contained, providing the appropriate references for those interested in pursuing the details.…”

Section: The Modelmentioning

confidence: 99%

Edge effects on low temperature surface adsorption phases and phase transitions on finite-width square terraces

Phares

Wunderlich

2003

Applied Surface Science

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“…[70] the authors, using the transfer-matrix method, investigated the ordered structures of the adsorption layer consisting of interacting dimers adsorbed on a square lattice. Analysis of the changes of the adlayer entropy and the surface diffusion coefficient showed that there is a finite number of ordered phases in case of repulsion lateral interactions between the nearest neighboring molecules.…”

Section: The Models Of Dimer and K-mer Adsorptionmentioning

confidence: 99%

“…Only a small number of papers devoted to the study of phase transition "order-disorder", which takes places in the case of repulsive intermolecular interactions [69,70]. In particular, in ref.…”

Section: The Models Of Dimer and K-mer Adsorptionmentioning

confidence: 99%