Friday, July 5, 2013

1307.1264 (Yasumasa Tsutsumi et al.)

UPt$_3$ as a Topological Crystalline Superconductor    [PDF]

Yasumasa Tsutsumi, Masaki Ishikawa, Takuto Kawakami, Takeshi Mizushima, Masatoshi Sato, Masanori Ichioka, Kazushige Machida
We investigate the topological aspect of the spin-triplet $f$-wave superconductor UPt$_3$ through the 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 a magnetic field, vortex-bound 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 ${\bm d}$-vector is locked into the $ab$-plane, the mirror symmetry holds the Majorana property of the zero energy states and thus UPt$_3$ preserves topological crystalline superconductivity robust against the crystal field and spin-orbit interaction.
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