Conductivity in a two-dimensional disordered model with anisotropic long-range hopping

AbstractWe consider a two-dimensional system of particles localized on randomly distributed sites of a square lattice with anisotropic transition matrix elements between localized sites. The diagram and replica methods are used. The conductivity of a system in different limits of local sites and particles densities is calculated. The model is relevant to the problem of strong nonmagnetic impurities in superconductors with $$d_{x^2 - y^2 } $$ symmetry of the order parameter.