Lattice duality for the compact Kardar-Parisi-Zhang equation
Lattice duality for the compact Kardar-Parisi-Zhang equation
A comprehensive theory of the Kosterlitz-Thouless transition in two-dimensional superfluids in thermal equilibrium can be developed within a dual representation which maps vortices in the superfluid to charges in a Coulomb gas. In this framework, the dissociation of vortex-antivortex pairs at the critical temperature corresponds to the formation of a …