UPt$_3$ as a Topological Crystalline Superconductor
Yasumasa Tsutsumi,Masaki Ishikawa,Takuto Kawakami,Takeshi Mizushima,Masatoshi Sato,Masanori Ichioka,Kazushige Machida +6 more
TLDR
In this article, the topological aspect of the spin-triplet $f$-wave superconductor UPt$_3$ through microscopic calculations of edge and vortex-bound states based on the quasiclassical Eilenberger and Bogoliubov-de Gennes theories is investigated.Abstract:
We investigate the topological aspect of the spin-triplet $f$-wave superconductor UPt$_3$ 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 UPt$_3$ preserves topological crystalline superconductivity that is robust against the crystal field and spin-orbit interaction.read more
Citations
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Topological superconductors: a review
Masatoshi Sato,Yoichi Ando +1 more
TL;DR: In this paper, the relation between topological superconductivity and Majorana fermions is explained, and the difference between dispersive Majorana Fermions and a localized Majorana zero mode is emphasized.
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Majorana Fermions and Topology in Superconductors
Masatoshi Sato,Satoshi Fujimoto +1 more
TL;DR: Topological superconductors as mentioned in this paper are novel classes of quantum condensed phases, characterized by topologically nontrivial structures of Cooper pairing states, and they are a subclass of superconducting phases.
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Majorana Fermions and Topology in Superconductors
Masatoshi Sato,Satoshi Fujimoto +1 more
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.
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Topological surface states in nodal superconductors
TL;DR: In this paper, a review of recent progress in the theoretical understanding of nodal topological superconductors is presented, with a focus on Weyl and non-centrosymmetric superconductions and their protected surface states.
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Symmetry-Protected Topological Superfluids and Superconductors —From the Basics to 3He—
Takeshi Mizushima,Yasumasa Tsutsumi,Takuto Kawakami,Masatoshi Sato,Masanori Ichioka,Kazushige Machida +5 more
TL;DR: A comprehensive review of symmetry-protected topological superfluids and topological crystalline superconductors, and their physical consequences such as helical and chiral Majorana fermions is given in this paper.
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