Periodic Anderson model for magnetism and superconductivity in UTe2

Abstract

We provide and analyze a periodic Anderson model for studying magnetism and superconductivity in UTe${}_2$, a recently-discovered candidate for a topological spin-triplet superconductor. The 24-band tight-binding model reproduces the band structure obtained from a DFT$+U$ 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 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.

arXiv comment9 pages, 9 figures

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• Higher-order topological phases for time-reversal-symmetry breaking superconductivity in UTe${}_2$
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• Magnetic fluctuations and anisotropy in UTe2: a multi-orbital study based on GGA+U and RPA
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