We investigate the occurrence of multicritical points under pressure and magnetic field in a model that describes two $5f$ bands (of either $\alpha$ or $\beta$ characters), which hybridize with a single itinerant conduction band. The $5f$ electrons interact through Coulomb and exchange terms. The antiferromagnetic (AF) order parameter is a Néel vector, which is assumed to be fixed by an Ising anisotropy. The applied magnetic field is transverse to the anisotropy axis. Without field, our results for the temperature-pressure phase diagram show that at low temperatures a first-order phase transition occurs between two distinct antiferromagnetic phases, ${\mathrm{AF}}_1$ and ${\mathrm{AF}}_2$, as the pressure is increased. The two phases are characterized by the gaps of bands $\alpha$ and $\beta$ given by ${\mathrm{\Delta }}_{\alpha }$ and ${\mathrm{\Delta }}_{\beta }$, respectively. The ${\mathrm{AF}}_1$ phase occurs when ${\mathrm{\Delta }}_{\beta }>{\mathrm{\Delta }}_{\alpha }>0$, while in the ${\mathrm{AF}}_2$ phase the gaps satisfy ${\mathrm{\Delta }}_{\alpha }>{\mathrm{\Delta }}_{\beta }>0$. The application of a magnetic field produces a drastic change in the phase diagram. The ${\mathrm{AF}}_1$ and ${\mathrm{AF}}_2$ phases separate, with the latter acquiring a dome shape that is eventually suppressed for large values of the applied field. The evolution of the phase diagram under pressure, without and with magnetic field, shows the presence of multicritical points. Our results show that the evolution of these multicritical points by the simultaneous application of pressure and magnetic field is also drastic, with the suppression of some multicritical points and the emergence of others. We believe that these results may have relevance for the growing field of multicritical points (classical and quantum) in the physics of uranium compounds.

• Received 29 August 2019
• Revised 8 January 2020
• Accepted 22 January 2020

DOI:https://doi.org/10.1103/PhysRevB.101.064407