Insulator-metal transition and topological superconductivity in UTe2 from a first-principles calculation

Abstract

We theoretically study superconductivity in UTe${}_2$, which is a recently-discovered strong candidate for an odd-parity spin-triplet superconductor. Theoretical studies for this compound faced difficulty because first-principles calculations predict an insulating electronic state, incompatible with superconducting instability. To overcome this problem, we take into account electron correlation effects by a GGA$+U$ method and show the insulator-metal transition by Coulomb interaction. Using Fermi surfaces obtained as a function of $U$, we clarify topological properties of possible superconducting states. Fermi surface formulas for the three-dimensional winding number and three two-dimensional ${\mathbb{Z}}_2$ numbers indicate topological superconductivity at an intermediate $U$ for all the odd-parity pairing symmetry in the $Immm$ space group. Symmetry and topology of superconducting gap node are analyzed and the gap structure of UTe${}_2$ is predicted. Topologically protected low-energy excitations are highlighted, and experiments by bulk and surface probes are proposed to link Fermi surfaces and pairing symmetry. Based on the results, we also discuss multiple superconducting phases under magnetic fields, which were implied by recent experiments.

arXiv comment6 pages, 2 figures (Supplemental Material: 5 pages, 2 figures)

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• Quasi-2D Fermi surface in the anomalous superconductor UTe2
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• Evidence of Fermi-Surface Reconstruction at the Metamagnetic Transition of the Strongly Correlated Superconductor UTe2
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• Enhanced triplet superconductivity in next generation ultraclean UTe2
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• Theory of spin-polarized superconductors -- an analogue of superfluid ${}^3$He A-phase
• Core-Level Photoelectron Spectroscopy Study of UTe${}_2$
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• Expansion of the high field-boosted superconductivity in UTe2 under pressure
• Non-unitary triplet superconductivity tuned by field-controlled magnetization --URhGe, UCoGe and UTe${}_2$--
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• Spin triplet superconductivity driven by finite momentum spin fluctuations
• Pressure-induced structural phase transition and new superconducting phase in UTe2
• Pairing symmetries of multiple superconducting phases in UTe2: Competition between ferromagnetic and antiferromagnetic fluctuations
• Nonreciprocal Meissner response in parity-mixed superconductors
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• Anomalous vortex dynamics in spin-triplet superconductor UTe${}_2$
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• Paramagnetic effects of j-electron superconductivity and application to UTe2
• Topological Anomalous Skin Effect in Weyl Superconductors
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• Theory of the low- and high-field superconducting phases of UTe${}_2$
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