We study the XY model on a lattice with fluctuating connectivity. The expectation is that at an appropriate critical point such a system corresponds to a compactified boson coupled to two-dimensional quantum gravity. Our simulations focus, in particular, on the important topological features of the system. The results lend strong support to the two-phase structure predicted on the basis of analytical calculations. A careful finite-size scaling analysis yields estimates for the scaling exponents in the low-temperature phase.
ASJC Scopus subject areas
- Nuclear and High Energy Physics