Periodic Anderson model for magnetism and superconductivity in UTe 2

TLDR: In this paper, a periodic Anderson model for studying magnetism and superconductivity in a topological spin-triplet superconductor was proposed, and the Coulomb interaction of $f$-electrons enhances Ising ferromagnetic fluctuation along the $a$-axis and stabilizes spin triplet superconductivities of either ${B}{3u} or ${A}_{u}$ symmetry.

Abstract: We provide and analyze a periodic Anderson model for studying magnetism and superconductivity in $\mathrm{U}{\mathrm{Te}}_{2}$, a recently discovered candidate for a topological spin-triplet superconductor. The 24-band tight-binding model reproduces the band structure obtained from a $\mathrm{D}\mathrm{F}\mathrm{T}+U$ calculation consistent with an angle-resolved photoemission spectroscopy. The Coulomb interaction of $f$-electrons enhances Ising ferromagnetic fluctuation along the $a$-axis and stabilizes spin-triplet superconductivity of either ${B}_{3u}$ or ${A}_{u}$ symmetry. When effects of pressure are taken into account in hopping integrals, the magnetic fluctuation changes to an antiferromagnetic one, and accordingly spin-singlet superconductivity of ${A}_{g}$ symmetry is stabilized. Based on the results, we propose pressure-temperature and magnetic field-temperature phase diagrams revealing multiple superconducting phases as well as an antiferromagnetic phase. In particular, a mixed-parity superconducting state with spontaneous inversion symmetry breaking is predicted.