Two scenarios for superconductivity in CeRh${}_2$As${}_2$

Abstract

CeRh${}_2$As${}_2$, a non-symmorphic heavy fermion material, was recently reported to host a remarkable phase diagram with two superconducting phases. In this material, the two inequivalent Ce sites per unit cell, related by inversion symmetry, introduce a sublattice structure corresponding to an extra internal degree of freedom. Here we propose a classification of the possible superconducting states in CeRh${}_2$As${}_2$ from the two Ce-sites perspective. Based on the superconducting fitness analysis and the quasiclassical Eilenberger equations, we discuss two limits: Rashba spin-orbit coupling and inter-layer hopping dominated normal state. In both limits, we are able find two scenarios that generate phase diagrams in qualitative agreement with experiments: i) intra-sublattice pairing with an even-odd transition under magnetic field, and ii) inter-sublattice pairing with an odd-odd transition under magnetic field.

arXiv comment5 pages, 2 figures, 4 tables

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• 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${}_2$
• Superconductivity in disordered locally noncentrosymmetric materials: an application to CeRh${}_2$As${}_2$
• Two-dimensional XY-type Magnetic Properties of Locally Noncentrosymmetric Superconductor CeRh${}_2$As${}_2$
• Parity transition of spin-singlet superconductivity using sub-lattice degrees of freedom
• Violation of the Pauli-Clogston limit in a heavy Fermion superconductor CeRh${}_2$As${}_2$ --Duality of itinerant and localized 4f electrons--
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• Discovery of magnetic phase transitions in heavy-fermion superconductor CeRh${}_2$As${}_2$
• Low-Temperature Thermal Conductivity of CeRh${}_2$As${}_2$
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• Spectroscopic evidence of Kondo-induced quasi-quartet in CeRh${}_2$As${}_2$
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• Nonunitary Superconductivity in Complex Quantum Materials
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• Superconducting Diode Effect in Multiphase Superconductors
• Exploring Fermi Surface Nesting and the Nature of Heavy Quasiparticles in the Spin-Triplet Superconductor Candidate CeRh${}_2$As${}_2$
• Coexistence of local magnetism and superconductivity in the heavy-fermion CeRh${}_2$As${}_2$ revealed by $\mu$SR studies
• Linear optical response from the odd parity Bardasis-Schrieffer mode in locally non-centrosymmetric superconductors
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• Magnetically-textured superconductivity in elemental Rhenium
• Horizontal flux growth as an efficient preparation method of CeRh${}_2$As${}_2$ single crystals
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• Unified picture of superconductivity and magnetism in CeRh${}_2$As${}_2$
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• Effects of nucleation at a first-order transition between two superconducting phases: Application to CeRh${}_2$As${}_2$
• Field-induced superconductivity mediated by odd-parity multipole fluctuation
• Bardasis-Schrieffer-like phase mode in a superconducting bilayer
• The phase diagram of CeRh${}_2$As${}_2$ for out-of-plane magnetic field
• Reciprocal and nonreciprocal paraconductivity in bilayer multiphase superconductors
• La substitution studies on the heavy-fermion superconductor CeRh${}_2$As${}_2$
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$