Local quasiparticle states around an Anderson impurity in a d-wave superconductor: Kondo effects

The mutual influence between a Kondo impurity and a d-wave superconductor is numerically studied within the slave-boson mean-field approach. The Bogoliubov-de Gennes-type equations are derived and solved using exact diagonalization. We show that a critical coupling strength, above which the Kondo effect takes place, exists regardless of whether the band particle-hole symmetry is present or not. In the Kondo regime the double resonant quasiparticle peaks are found in the local density of states (LDOS) both directly at the impurity and around its neighbors, which is in sharp contrast to the case of nonmagnetic unitary impurities, where the LDOS vanishes at the impurity site.