3 years ago

Unconventional superconducting gap structure protected by space group symmetry.

Shuntaro Sumita, Youichi Yanase

Recent superconducting gap classifications based on the space group symmetry have revealed nontrivial gap structures which were not shown by the point group symmetry. In this paper, we show a comprehensive classification of symmetry-protected line nodes within the range of centrosymmetric and primitive space groups. Furthermore, our gap classification reveals the "$j_z$-dependent point nodes (gap opening)" appearing on a 3- or 6-fold axis. We suggest that this unusual gap structure is realized in a heavy-fermion superconductor UPt$_3$, using a group theoretical analysis and a numerical calculation. An important role of "effective orbital angular momentum" by site permutation is demonstrated. We also discuss superconducting gap structures in MoS$_2$, SrPtAs, UBe$_{13}$, and PrOs$_4$Sb$_{12}$.

Publisher URL: http://arxiv.org/abs/1801.03293

DOI: arXiv:1801.03293v1

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