Real space inhomogeneities in high temperature superconductors: the perspective of the two-component model

The two-component model of high temperature superconductors in its real space version has been solved using Bogoliubov-de Gennes equations. The disorder in the electron and boson subsystem has been taken into account. It strongly modifies the superconducting properties and leads to local variations of the gap parameter and density of states. The assumption that the impurities mainly modify boson energies offers a natural explanation of the puzzling positive correlation between the positions of impurities and the values of the order parameter found in the scanning tunneling microscopy experiments.