The semiflexible fully-packed loop model and interacting rhombus tilings

Details The semiflexible fully-packed loop model and interacting rhombus tilings The semiflexible fully-packed loop model and interacting rhombus tilings

2008-12-18

arxiv.org/abs/0812.3490v3

Phys. Rev. Lett. 102, 145702 (2009)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, v2: corrected typo, v3: minor modifications, published version

Scientific paper

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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