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 T_K. The formula for the ratio of two interactions is also determined.

4 pages, 4 figures (2 color figures)

References in corpus (6)

• Theory of Superconductivity in Strongly Correlated Electron Systems
• Spin susceptibility in superconductors without inversion symmetry
• Order parameter in superconductors with non-degenerate bands
• Microscopic Identification of the D-vector in Triplet Superconductor Sr_2RuO_4
• Unconventional Superconductivity in Heavy Fermion Systems
• Interplay of crystal field structures with $f^2$ configuration to heavy fermions

Cited by in corpus (1)

• The numerical renormalization group method for quantum impurity systems