Temperature dependent spectral function of Kondo-impurity in a d-wave superconductor in two-dimensions

Quantum impurity is one of the most intriguing problems in condensed matter and can be solved exactly using the numerical renormalization group (NRG). Effect of Kondo impurity in one-dimension (1D) superconductors (SC) has been studied extensively, but Kondo impurity in two dimensional (2D) with d-wave pairing symmetry is relatively unexplored. d-wave SC is interesting because of the SC pairing order parameter alternate sign upon rotation by pi/4. We study the effect of kondo impurity in 2D d-wave SC using NRG and density matrix renormalization group (DMRG) at zero and finite temperature and show the temperature dependence of Yu-Shiba-Rusinov peaks in the spectral function, particularly to examine how these peaks will be affected by the possible existence of the zero-energy Andreev bound state due to the quasi-particles scattered from the Fermi surface with positive order parameter to the region with negative order parameter (or vice versa) by the magnetic impurity. These features could be measured by experiments to determine the property of a magnetic impurity in a d-wave superconductor.