Criterion for weak spin-orbit coupling in heavy-fermion superconductivity: A numerical renormalization-group study
Abstract
A criterion for effective irrelevancy of the spin-orbit coupling in the heavy-fermion superconductivity is discussed on the basis of the impurity Anderson model with two sets of Kramers doublets. Using Wilson's numerical renormalization-group method, we demonstrate a formation of the quasiparticle as well as the renormalization of the rotational symmetry-breaking interaction in the lower Kramers doublet (quasispin) space. A comparison with the quasispin conserving interaction exhibits the effective irrelevancy of the symmetry-breaking interaction for the splitting of two doublets Delta larger than the characteristic energy of the local spin fluctuation TK. The formula for the ratio of two interactions is also determined.
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