Kosterlitz-Thouless-like transition in two-dimensional lattices with long-range correlated hopping terms

We study the Anderson localization in two-dimensional lattices with long-range correlated hopping terms. The hopping energies along one lattice direction will be generated by a superposition of uncorrelated and long-range correlated contributions. Our numerical results strongly suggest the presence of a Kosterlitz-Thouless-like transition above a critical correlation degree.