A restricted dimer model on a two-dimensional random causal triangulation
@article{Ambjrn2014ARD, title={A restricted dimer model on a two-dimensional random causal triangulation}, author={J. Ambj{\o}rn and B. Durhuus and J. Wheater}, journal={Journal of Physics A}, year={2014}, volume={47}, pages={365001} }
We introduce a restricted hard dimer model on a random causal triangulation that is exactly solvable and generalizes a model recently proposed by Atkin and Zohren (2012 Phys. Lett. B 712 445?50). We show that the latter model exhibits unusual behaviour at its multicritical point; in particular, its Hausdorff dimension equals 3 and not as would be expected from general scaling arguments. When viewed as a special case of the generalized model introduced here we show that this behaviour is not… CONTINUE READING
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