Chiral Superconductivity in UTe${}_2$ via Emergent $C_4$ Symmetry and Spin Orbit Coupling

Abstract

A lot of attention has been drawn to superconductivity in UTe${}_2$, with suggestions of time-reversal symmetry breaking triplet chiral superconducting order parameter. The chirality of the order parameter has been attributed to an accidental near degeneracy of two superconducting components belonging to 1D irreps $B_{2u}$ and $B_{3u}$ of the relevant $D_{2h}$ point group, and it has been argued that the chiral $B_{2u}+i{B}_{3u}$ combination is selected by ferromagnetic fluctuations. In this work we present a possible explanation of the near-degeneracy as a result of an accidental $C_4$ symmetry of the band structure, with the superconducting order parameter belonging the 2D $E_u$ irrep of $D_{4h}$ that uniquely descends to the sought after $B_{2u}+i{B}_{3u}$ combination. We show that the $C_4$ symmetry is emergent at the level of the interactions using a renormalization group calculation and argue that the chiral combination of the order parameter is favored when spin-orbit coupling is added to the model.

12 pages, 10 figures

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• Single-Component Superconductivity in UTe${}_2$ at Ambient Pressure
• Triplet pairing mechanisms from Hund's-Kondo models: applications to UTe${}_2$ and CeRh${}_2$As${}_2$
• Enhanced triplet superconductivity in next generation ultraclean UTe2
• Quantum interference between quasi-2D Fermi surface sheets in UTe2
• Possible Realization of Topological Crystalline Superconductivity with Time-Reversal Symmetry in UTe2
• Superconducting Diode Effect in Multiphase Superconductors
• ${\mu }^{+}$ Knight Shift in UTe${}_2$: Evidence for Relocalization in a Kondo Lattice
• Pair-Kondo effect: a mechanism for time-reversal broken superconductivity in UTe${}_2$
• Microscopic theory of pair density waves in spin-orbit coupled Kondo lattice
• Slow magnetic quantum oscillations in the c-axis magnetoresistance of UTe${}_2$
• Pressure-enhanced $f$-electron orbital weighting in UTe2 mapped by quantum interferometry