Topological crystalline superconductivity in locally noncentrosymmetric CeRh${}_2$As${}_2$

Abstract

Recent discovery of superconductivity in CeRh${}_2$As${}_2$ clarified an unusual $H$-$T$ phase diagram with two superconducting phases [Khim et al. arXiv:2101.09522]. The experimental observation has been interpreted based on the even-odd parity transition characteristic of locally noncentrosymmetric superconductors. Indeed, the inversion symmetry is locally broken at the Ce site, and CeRh${}_2$As${}_2$ molds a new class of exotic superconductors. The low-temperature and high-field superconducting phase is a candidate for the odd-parity pair-density-wave state, suggesting a possibility of topological superconductivity as spin-triplet superconductors are. In this paper, we first derive the formula expressing the ${\mathbb{Z}}_2$ invariant of glide symmetric and time-reversal symmetry broken superconductors by the number of Fermi surfaces on a glide invariant line. Next, we conduct a first-principles calculation for the electronic structure of CeRh${}_2$As${}_2$. Combining the results, we show that the field-induced odd-parity superconducting phase of CeRh${}_2$As${}_2$ is a platform of topological crystalline superconductivity protected by the nonsymmorphic glide symmetry and accompanied by boundary Majorana fermions.

15 pages (Main text: 7 pages; Supplemental Materials: 8 pages), 8 figures (Main text: 4 figures; Supplemental Materials: 4 figures)

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• Non-symmorphic symmetry and field-driven odd-parity pairing in CeRh${}_2$As${}_2$
• Observation of antiferromagnetic order as odd-parity multipoles inside the superconducting phase in CeRh${}_2$As${}_2$
• Field-angle dependence reveals odd-parity superconductivity in CeRh${}_2$As${}_2$
• Electronic and dynamical properties of CeRh${}_2$As${}_2$: Role of Rh${}_2$As${}_2$ layers and expected hidden orbital order
• Even-odd parity transition in strongly correlated locally noncentrosymmetric superconductors : An application to CeRh${}_2$As${}_2$
• Triplet pairing mechanisms from Hund's-Kondo models: applications to UTe${}_2$ and CeRh${}_2$As${}_2$
• Two-dimensional XY-type Magnetic Properties of Locally Noncentrosymmetric Superconductor CeRh${}_2$As${}_2$
• Superconductivity in disordered locally noncentrosymmetric materials: an application to CeRh${}_2$As${}_2$
• Parity transition of spin-singlet superconductivity using sub-lattice degrees of freedom
• Discovery of magnetic phase transitions in heavy-fermion superconductor CeRh${}_2$As${}_2$
• Decoupling multi-phase superconductivity from normal state ordering in CeRh${}_2$As${}_2$
• Low-Temperature Thermal Conductivity of CeRh${}_2$As${}_2$
• Coexistence of near-EF flat band and van Hove singularity in a two-phase superconductor
• Spectroscopic evidence of Kondo-induced quasi-quartet in CeRh${}_2$As${}_2$
• Fermi Surface Nesting with Heavy Quasiparticles in the Locally Noncentrosymmetric Superconductor CeRh${}_2$As${}_2$
• Phase diagram of the square lattice Hubbard model with Rashba-type antisymmetric spin-orbit coupling
• Superconducting Diode Effect in Multiphase Superconductors
• Multiple superconducting phases in heavy-fermion metals
• Correlation-induced Fermi surface evolution and topological crystalline superconductivity in CeRh2As2
• Exploring Fermi Surface Nesting and the Nature of Heavy Quasiparticles in the Spin-Triplet Superconductor Candidate CeRh${}_2$As${}_2$
• Conventional type-II superconductivity in locally non-centrosymmetric LaRh${}_2$As${}_2$ single crystals
• Kramers' degenerate magnetism and superconductivity
• Topological d-wave superconductivity in two dimensions
• Horizontal flux growth as an efficient preparation method of CeRh${}_2$As${}_2$ single crystals
• Proximity-driven ferromagnetism and superconductivity in the triangular Rashba-Hubbard model
• Origin of the non-Fermi-liquid behavior in CeRh2As2
• Effects of nucleation at a first-order transition between two superconducting phases: Application to CeRh${}_2$As${}_2$
• Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries
• Appearance of $c$-axis magnetic moment in odd-parity antiferromagnetic state in CeRh${}_2$As${}_2$ revealed by ${}^{75}$As-NMR
• The phase diagram of CeRh${}_2$As${}_2$ for out-of-plane magnetic field
• Field-induced superconductivity mediated by odd-parity multipole fluctuation
• Superconducting meron phase in locally noncentrosymmetric superconductors
• Uniform and Staggered electric axial moment in zigzag chain
• Reciprocal and nonreciprocal paraconductivity in bilayer multiphase superconductors
• Unveiling the superconducting scenario in multiphase superconductor CeRh${}_2$As${}_2$ from space-group symmetry analysis and DFT calculations
• La substitution studies on the heavy-fermion superconductor CeRh${}_2$As${}_2$
• Composite Superconducting Orders and Magnetism in CeRh${}_2$As${}_2$
• Quantum geometric magnetic monopole and two-phase superconductivity in CeRh${}_2$As${}_2$
• Multipolar fluctuations from localized 4f electrons in CeRh2As2
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