Testing the Fully Gapped s-Wave Superconductor \(\hbox {CeCu}_2\hbox {Si}_2\) by Impurity-Induced Intra-gap States

  • Dongdong Wang
  • Bin LiuEmail author


The fully gapped s-wave superconducting state, such as nodeless \(s^{\pm }\)-wave and \(s^{++}\)-wave, was proposed by recent experiments in the multiband superconductor \(\hbox {CeCu}_{2}\hbox {Si}_{2}\). In this paper, we study the problem within an effective two hybridization bands model obtained from the first principle calculations. Our results based on T-matrix approximation reveal that for \(s^{++}\)-wave pairing, there are no intra-gap resonance states induced by a nonmagnetic impurity irrespective of the inter-band impurity scattering strength. However, in the case of sign-changing \(s^{\pm }\)-wave pairing, we find two intra-gap resonance states appearing at positive and negative energies around the Fermi energy with introducing inter-band impurity scattering. These features can be readily verified by scanning tunneling microscopy/spectroscopy and are proposed to identify the sign-changing fully gapped superconducting state in \(\hbox {CeCu}_{2}\hbox {Si}_{2}\) at ambient pressure.


Heavy-fermion superconductivity Gap symmetry Nonmagnetic impurity effect 



This work was supported by the National Natural Science Foundation of China (NSFC) under Grant No. 11774025.


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Authors and Affiliations

  1. 1.Department of PhysicsBeijing Jiaotong UniversityBeijingChina

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