Orbital effect of Cooper pairs on Kondo effect in unconventional superconductors

Abstract

A new type of Kondo effect peculiar to unconventional superconductors is studied theoretically by using the Wilson's numerical renormalization group method. In this case, an angular momentum of a Cooper pair plays an important role in the Kondo effect. It produces multichannel exchange couplings with a local spin. Here we focus on a $p_x+i{p}_y$-wave state which is a full gap system. The calculated impurity susceptibility shows that the local spin is almost quenched by the Kondo effect in the strong coupling region ($T_{\mathrm{K}}/\Delta \to \infty$), while the ground state is always a spin doublet over all the $T_{\mathrm{K}}/\Delta$ region. Here $T_{\mathrm{K}}$ and $\Delta$ are the Kondo temperature and the superconducting energy gap, respectively. This is different from the s-wave pairing case where the Kondo singlet is realized for large $T_{\mathrm{K}}/\Delta$ values. The strong coupling analysis shows that the $p_x+i{p}_y$-wave Cooper pair is connected to the Kondo singlet via the orbital dynamics of the paired electrons, generating the spin of the ground state. This type of Kondo effect reflects the symmetry of the conduction electron system.

10 pages, 5 figures, revtex, to be published in Phys. Rev. B

References in corpus (2)

• Spontaneous Hall effect in chiral p-wave superconductor
• Vortex Charging Effect in a Chiral $p_x\pm i{p}_y$-Wave Superconductor

Cited by in corpus (7)

• The numerical renormalization group method for quantum impurity systems
• Kondo Signatures of a Quantum Magnetic Impurity in Topological Superconductors
• Single Impurity Effects in Multiband Superconductors with Different Sign Order Parameters
• Anomaly in the heat capacity of Kondo superconductors
• Kondo screening in unconventional superconductors: The role of anomalous propagators
• Spin and orbital effects of Cooper pairs coupled to a single magnetic impurity
• Kondo Compensation in a Pseudogap Phase: a Renormalization Group Study