UPt3as a topological crystalline superconductor
Yasumasa Tsutsumi,Masaki Ishikawa,Takuto Kawakami,Takuto Kawakami,Takeshi Mizushima,Masatoshi Sato,Masanori Ichioka,Kazushige Machida +7 more
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In this paper, the topological aspect of UPt3 was investigated through microscopic calculations of edge and vortex-bound states based on the quasiclassical Eilenberger and Bogoliubov-de Gennes theories.Abstract:
We investigate the topological aspect of the spin-triplet f-wave superconductor UPt3 through 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, 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 d-vector is locked into the ab-plane, the mirror symmetry holds the Majorana property of the zero-energy states, and thus UPt3 preserves topological crystalline superconductivity that is robust against the crystal field and spin–orbit interaction.read more
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Colloquium : Topological band theory
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Majorana Fermions and Topology in Superconductors
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TL;DR: In this article, the existence and stability of Majorana fermions are ensured by bulk topological invariants constrained by the symmetries of the system, which can be used for application to topological quantum computation.
References
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