The semiflexible fully-packed loop model and interacting rhombus tilings

Jesper Lykke Jacobsen; Fabien Alet

doi:10.1103/physrevlett.102.145702

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arXiv · 0812.3490

The semiflexible fully-packed loop model and interacting rhombus tilings

Jesper Lykke Jacobsen·Fabien Alet

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Abstract

Motivated by a recent adsorption experiment [M.O. Blunt et al., Science 322, 1077 (2008)], we study tilings of the plane with three different types of rhombi. An interaction disfavors pairs of adjacent rhombi of the same type. This is shown to be a special case of a model of fully-packed loops with interactions between monomers at distance two along a loop. We solve the latter model using Coulomb gas techniques and show that its critical exponents vary continuously with the interaction strenght. At low temperature it undergoes a Kosterlitz-Thouless transition to an ordered phase, which is predicted from numerics to occur at a temperature T \sim 110K in the experiments.

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Jesper Lykke Jacobsen, Fabien Alet. 2009-04-17. The semiflexible fully-packed loop model and interacting rhombus tilings. https://doi.org/10.1103/physrevlett.102.145702

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