UPt3as a topological crystalline superconductor

Yasumasa Tsutsumi, Masaki Ishikawa, Takuto Kawakami, Takeshi Mizushima, Masatoshi Sato, Masanori Ichioka, Kazushige Machida

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We investigate the topological aspect of the spin-triplet f-wave superconductor UPt3through microscopic calculations of edge- and vortex-bound states based on the quasiclassical Eilenberger and Bogoliubov-de Gennes theories. It is shown that a gapless and linear dispersion exists at the edge of the ab-plane. This forms a Majorana valley, protected by the mirror chiral symmetry. We also demonstrate that, with increasing magnetic field, vortexbound quasiparticles undergo a topological phase transition from topologically trivial states in the double-core vortex to zero-energy states in the normal-core vortex. As long as the d-vector is locked into the ab-plane, the mirror symmetry holds the Majorana property of the zero-energy states, and thus UPt3preserves topological crystalline superconductivity that is robust against the crystal field and spin-orbit interaction.

Original languageEnglish
Article number113707
JournalJournal of the Physical Society of Japan
Issue number11
Publication statusPublished - Nov 2013



  • Edge state
  • Heavy-fermion material
  • Majorana ising anisotropy
  • Majorana zero mode
  • Topological crystalline superconductivity
  • UPt
  • Vortex state

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Tsutsumi, Y., Ishikawa, M., Kawakami, T., Mizushima, T., Sato, M., Ichioka, M., & Machida, K. (2013). UPt3as a topological crystalline superconductor. Journal of the Physical Society of Japan, 82(11), [113707]. https://doi.org/10.7566/JPSJ.82.113707