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Chin. Phys. B, 2020, Vol. 29(1): 017402    DOI: 10.1088/1674-1056/ab5b89

Surface Majorana flat bands in j=3/2 superconductors with singlet-quintet mixing

Jiabin Yu(于家斌), Chao-Xing Liu(刘朝星)
Department of Physics, the Pennsylvania State University, University Park, PA 16802, USA
Abstract  Recent experiments[Science Advances 4 eaao4513 (2018)] have revealed the evidence of nodal-line superconductivity in half-Heusler superconductors, e.g., YPtBi. Theories have suggested the topological nature of such nodal-line superconductivity and proposed the existence of surface Majorana flat bands on the (111) surface of half-Heusler superconductors. Due to the divergent density of states of the surface Majorana flat bands, the surface order parameter and the surface impurity play essential roles in determining the surface properties. We study the effect of the surface order parameter and the surface impurity on the surface Majorana flat bands of half-Heusler superconductors based on the Luttinger model. To be specific, we consider the topological nodal-line superconducting phase induced by the singlet-quintet pairing mixing, classify all the possible translationally invariant order parameters for the surface states according to irreducible representations of C3v point group, and demonstrate that any energetically favorable order parameter needs to break the time-reversal symmetry. We further discuss the energy splitting in the energy spectrum of surface Majorana flat bands induced by different order parameters and non-magnetic or magnetic impurities. We propose that the splitting in the energy spectrum can serve as the fingerprint of the pairing symmetry and mean-field order parameters. Our theoretical prediction can be examined in the future scanning tunneling microscopy experiments.
Keywords:  surface Majorana flat band      half-Heusler superconductor  
Received:  16 October 2019      Revised:  25 November 2019      Accepted manuscript online: 
PACS:  74.20.Rp (Pairing symmetries (other than s-wave))  
  74.55.+v (Tunneling phenomena: single particle tunneling and STM)  
Corresponding Authors:  Chao-Xing Liu     E-mail:

Cite this article: 

Jiabin Yu(于家斌), Chao-Xing Liu(刘朝星) Surface Majorana flat bands in j=3/2 superconductors with singlet-quintet mixing 2020 Chin. Phys. B 29 017402

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