Anisotropic magnetic and quadrupolar H-T phase diagram of CeRh2As2

Abstract

The tetragonal heavy fermion compound CeRh2As2 has intriguing low temperature symmetry breaking phases whose nature is unclear. The unconventional superconducting phase is complemented by other normal state phases which presumably involve ordering of 4f electron multipoles supported by the Kramers doublets split by the tetragonal crystal electric field (CEF). The most striking aspect is the pronounced anisotropic H-T phase boundary for in-plane and out-of plane field direction. Using a localized 4f CEF model we demonstrate that its essential features can be understood as the result of competing low field easy-plane magnetic order and field-induced quadrupolar order of XY type. We present calculations based on a coupled multipole random-phase approximation (RPA) response function approach as well as a molecular field treatment in the ordered regime. We use an analytical approach for a reduced quasi-quartet model and numerical calculations for the complete CEF level scheme. We discuss the quantum critical properties as function of multipolar control parameters and explain the origin of a pronounced a-c anisotropy of the H-T phase diagram. Finally the field and temperature evolution of multipolar order parameters is derived and the high field phase diagram is predicted.

18 pages, 10 figures, to be published in Physical Review B

References in corpus (12)

• Field-induced transition from even to odd parity superconductivity in CeRh${}_2$As${}_2$
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• Theory of induced quadrupolar order in tetragonal YbRu_{2}Ge_{2}
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• Spectroscopic evidence of Kondo-induced quasi-quartet in CeRh${}_2$As${}_2$
• Exploring Fermi Surface Nesting and the Nature of Heavy Quasiparticles in the Spin-Triplet Superconductor Candidate CeRh${}_2$As${}_2$

Cited by in corpus (11)

• Coexistence of local magnetism and superconductivity in the heavy-fermion CeRh${}_2$As${}_2$ revealed by $\mu$SR studies
• Origin of the non-Fermi-liquid behavior in CeRh2As2
• Unified picture of superconductivity and magnetism in CeRh${}_2$As${}_2$
• 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
• Thermodynamics, elastic anomalies and excitations in the field induced phases of CeRh2As2
• Conventional $s$-wave Superconductivity in LaRh${}_2$As${}_2$; the Analog without the 4$f$ Electrons of CeRh${}_2$As${}_2$
• Composite Superconducting Orders and Magnetism in CeRh${}_2$As${}_2$
• 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${}_2$
• Multipolar fluctuations from localized 4f electrons in CeRh2As2