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arXiv · 1611.04262

Fate of Majorana modes in $\mathrm{CeCoIn}_5$/$\mathrm{YbCoIn}_5$ superlattices -a test bed for reduction of topological classification-

Tsuneya Yoshida·Akito Daido·Youichi Yanase·Norio Kawakami
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Abstract

In this paper, we propose $\mathrm{CeCoIn_5}/\mathrm{YbCoIn_5}$ superlattice systems as a test bed for the reduction of topological classification in free fermions. We find that the system with quad-layer of $\mathrm{CeCoIn_5}$ shows a topological crystalline superconducting phase with the mirror Chern number eight at the non-interacting level. Furthermore, we demonstrate that in the presence of two-body interactions, gapless edge modes are no longer protected by the symmetry in the system with quad-layer, but are protected in the systems with bi- or tri-layer. This clearly exemplifies the reduction of topological classification from $\mathbb{Z}\oplus\mathbb{Z}$ to $\mathbb{Z}\oplus\mathbb{Z}_8$.

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Tsuneya Yoshida, Akito Daido, Youichi Yanase, Norio Kawakami. 2017-03-08. Fate of Majorana modes in $\mathrm{CeCoIn}_5$/$\mathrm{YbCoIn}_5$ superlattices -a test bed for reduction of topological classification-. https://doi.org/10.1103/physrevlett.118.147001

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