Title: A classical dimer model with a discrete-scale-invariant fixed point.

Speaker: Dr. Sounak Biswas, University of Wuerzburg, Germany

Abstract: I will talk about the statistical mechanics of classical hardcore dimer on the quasiperiodic Ammann-Beenker tiling. After briefly dwelling on the structure of the configuration space, I will discuss its statistical mechanics. By explicitly constructing an RG transformation and implementing it with a Monte-Carlo algorithm, we will show that the model is described by an interacting fixed point, albeit with discrete instead of continuous scale invariance. The fixed point theory is described by another hardcore dimer model, unlike dimer models on periodic bipartite lattices which have effective descriptions in terms of unconstrained continuum fields. I will show that the discrete-scale symmetry shows up as log-periodic modulations of power-laws in observables of the overlap loops of the double dimer model.