Abstract
The tetragonal heavy-fermion system ${\mathrm{URu}}_{2}$${\mathrm{Si}}_{2}$ may well be an unconventional superconductor, as evidenced by its upper critical field and its low-temperature thermodynamic properties. Under the assumption that it belongs to the E representation of the ${\mathit{D}}_{4\mathit{h}}$ point group, we enumerate the phase diagrams which are possible in the H-T plane. We take into account the possible coupling of superconductivity to the antiferromagnetic order parameter.
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