Abstract
We study the effect of strong spin-orbit coupling (SOC) on bound states induced by impurities in superconductors. The presence of SOC breaks the SU(2)-spin symmetry and causes the superconducting order parameter to have generically both singlet (-wave) and triplet (-wave) components. We find that in the presence of SOC the spectrum of Yu-Shiba-Rusinov (YSR) states is qualitatively different in -wave and -wave superconductors, a fact that can be used to identify the superconducting pairing symmetry of the host system. We also predict that, in the presence of SOC, the spectrum of the impurity-induced bound states depends on the orientation of the magnetic moment of the impurity and, in particular, that by changing the orientation of , the fermion-parity of the lowest energy bound state can be tuned. We then study the case of a dimer of magnetic impurities and show that, in this case, the YSR spectrum for a -wave superconductor is qualitatively very different from the one for an -wave superconductor even in the limit of vanishing SOC.
- Received 22 October 2014
DOI:https://doi.org/10.1103/PhysRevLett.114.236804
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