Quantum Kasteleyn transition

Dimer models arise as effective descriptions in a variety of physical contexts, and provide paradigmatic examples systems subject to strong local constraints. Here we present quantum version the venerable Kasteleyn model, which has an unusual phase transition from dimer solid U(1) liquid. We show how structure model can be understood terms mechanics one-dimensional strings determine exact value critical coupling. By constructing describe properties these strings, calculate such dimer-dimer correlation function neighborhood transition. also discuss full ground state at nonzero temperature.