Title: 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 CEF. The most striking aspect is the pronounced anisotropic H-T phase boundary for in- and out-of plane field direction. Using a localised 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 coupled multipole RPA response function approach as well as 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.