Correlation-induced Fermi surface evolution and topological crystalline superconductivity in CeRh2As2

Abstract

Locally noncentrosymmetric structures in crystals are attracting much attention owing to emergent phenomena associated with the sublattice degree of freedom. The newly discovered heavy fermion superconductor CeRh${}_2$As${}_2$ is considered to be an excellent realization of this class. Angle-resolved photoemission spectroscopy experiments recently observed low-energy spectra of electron and hole bands and characteristic Van Hove singularities, stimulating us to explore the electronic correlation effect on the band structure. In this Letter, we theoretically study the electronic state and topological superconductivity from first principles. Owing to the Coulomb repulsion $U$ of Ce 4$f$ electrons, the low-energy band structure is modified in accordance with the experimental result. We show that Fermi surfaces change significantly from a complicated three-dimensional structure to a simple two-dimensional one. Fermi surface formulas for one-dimensional ${\mathbb{Z}}_2$ invariants in class D indicate topological crystalline superconductivity protected by the glide symmetry in a broad region for $U$. The classification of superconducting gap structure reveals topologically protected excitation gap and node. Our findings of the correlation-induced evolution of electronic structure provide a basis to clarify the unusual phase diagram of CeRh${}_2$As${}_2$ including superconductivity, magnetic order, and quadrupole density wave, and accelerate the search for topological superconductivity in strongly correlated electron systems.

11 pages, 6 figures

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• Unified picture of superconductivity and magnetism in CeRh${}_2$As${}_2$
• Field-induced superconductivity mediated by odd-parity multipole fluctuation
• The phase diagram of CeRh${}_2$As${}_2$ for out-of-plane magnetic field
• Superconducting meron phase in locally noncentrosymmetric superconductors
• 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
• Multipolar fluctuations from localized 4f electrons in CeRh2As2
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$
• 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${}_2$