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The discovery of superconductivity in the heavy-fermion paramagnet UTe$_2$has attracted a lot of attention, particularly due to the reinforcement ofsuperconductivity near pressure- and magnetic-field-induced magnetic quantumphase transitions. A challenge is now to characterize the effects of combinedpressure and magnetic fields applied along variable directions in this stronglyanisotropic paramagnet. Here, we present an investigation of the electricalresistivity of UTe$_2$ under pressure up to 3~GPa and pulsed magnetic fields upto 58~T along the hard magnetic crystallographic directions $\mathbf{b}$ and$\mathbf{c}$. We construct three-dimensional phase diagrams and show that, nearthe critical pressure, a field-enhancement of superconductivity coincides witha boost of the effective mass related to the collapse of metamagnetic andcritical fields at the boundaries of the correlated paramagnetic regime andmagnetically-ordered phase, respectively. Beyond the critical pressure,field-induced transitions precede the destruction of the magnetically-orderedphase, suggesting an antiferromagnetic nature. By bringing new elements aboutthe interplay between magnetism and superconductivity, our work appeals formicroscopic theories describing the anisotropic properties of UTe$_2$ underpressure and magnetic field.

Magnetic reshuffling and feedback on superconductivity in UTe2 under pressure