Unconventional superconductivity and surface pairing symmetry in half-Heusler compounds

Qing Ze Wang, Jiabin Yu, Chao Xing Liu

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Signatures of nodal line/point superconductivity [Kim, Sci. Adv. 4, eaao4513 (2018)10.1126/sciadv.aao4513; Brydon, Phys. Rev. Lett. 116, 177001 (2016)PRLTAO0031-900710.1103/PhysRevLett.116.177001] have been observed in half-Heusler compounds, such as LnPtBi (Ln = Y, Lu). Topologically nontrivial band structures, as well as topological surface states, have also been confirmed by angular-resolved photoemission spectroscopy in these compounds [Liu, Nat. Commun. 7, 12924 (2016)10.1038/ncomms12924]. In this paper, we present a systematical classification of possible gap functions of bulk states and surface states in half-Heusler compounds and the corresponding topological properties based on the representations of crystalline symmetry group. Different from all the previous studies based on the four band Luttinger model, our study starts with the six-band Kane model, which involves both four p-orbital type of Γ8 bands and two s-orbital type of Γ6 bands. Although the Γ6 bands are away from the Fermi energy, our results reveal the importance of topological surface states, which originate from the band inversion between Γ6 and Γ8 bands, in determining surface properties of these compounds in the superconducting regime by combining topological bulk state picture and nontrivial surface state picture.

Original languageEnglish (US)
Article number224507
JournalPhysical Review B
Issue number22
StatePublished - Jun 11 2018

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Unconventional superconductivity and surface pairing symmetry in half-Heusler compounds'. Together they form a unique fingerprint.

Cite this