Low-lying excitations induced by non-magnetic impurities in d-wave superconductors

We have performed numerical calculations for low-lying excitations induced by a single non-magnetic impurity in a d-wave superconductor on the basis of two different frameworks. One is the Bogoliubov–de Gennes theory in real coordinates, while the other is the Born approximation in wave-number coordinates. This paper shows that these results for low-lying excitations are identical by using Fourier transformations.

► This theoretical study shows low-lying excitations induced by a non-magnetic impurity in a d-wave superconductor. ► Results in the real coordinate are fully calculated by using the Bogoliubov-de Gennes theory. ► For the same condition other results are also calculated by using the Born approximation. ► The comparison with the Fourier transformation shows that these results are almost identical.