Interference effects in strongly correlated electronic systems

We compute the order parameter and Josephson tunneling amplitude in a two dimensional model exhibiting topological superconductivity (a generalized anyon model). This model of a topological liquid summarizes the hydrodynamics of the compressible charge and incompressible topological spin liquids and captures the physics of the doped Mott insulator. We show that ground states that differ by an odd number of particles are orthogonal and insertion of two extra electrons is followed by emission of soft modes of transversal spin current. This orthogonality catastrophe makes the physics of superconductivity drastically different from the conventional BCS-theory but similar to the physics of one dimensional electronic liquids. The wave function of a pair of electrons (the order parameter) is dressed by soft modes. As a result the order parameter is in a complex d-wave representation (i.e. changes sign under 90...