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

Abstract

In this paper, we propose $\mathrm{CeCoI}{\mathrm{n}}_5/\mathrm{YbCoI}{\mathrm{n}}_5$ superlattice systems as a test bed for the reduction of topological classification in free fermions. We find that the system with quad-layer of $\mathrm{CeCoI}{\mathrm{n}}_5$ 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 $\mathbb{Z}\oplus {\mathbb{Z}}_8$.

11+epsilon pages, 3 figures, accepted for PRL

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• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Exceptional band touching for strongly correlated systems in equilibrium
• Even-odd parity transition in strongly correlated locally noncentrosymmetric superconductors : An application to CeRh${}_2$As${}_2$
• Singlet-Quintet Mixing in Spin-Orbit Coupled Superconductors with j=3/2 Fermions
• Odd-parity multipole fluctuation and unconventional superconductivity in locally noncentrosymmetric crystal
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Magnetic states in a three-dimensional topological Kondo insulator
• Fate of exceptional points under interactions: Reduction of topological classifications
• Reduction of topological $\mathbb{Z}$ classification in cold atomic systems
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• Strongly parity-mixed superconductivity in Rashba-Hubbard model
• Controlling unconventional superconductivity in artificially engineered $f$-electron Kondo superlattices
• Topological d-wave superconductivity in two dimensions
• Quasiperiodic criticality and spin-triplet superconductivity in superconductor-antiferromagnet moire patterns
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• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry