Anderson Impurity in Dirac and Weyl semimetals

We utilize variational method to study the Kondo screening of an Anderson impurity in three-dimensional Dirac and Weyl semimetals. We find that the spin correlation between the magnetic impurity and conduction electrons in both the systems are strongly anisotropic due to the spin-orbit coupling, and the spin-spin correlations are of power-law decay in both systems. The differences between Dirac and Weyl semimetals are also inverstigagted.