Non-unitary triplet superconductivity tuned by field-controlled magnetization --URhGe, UCoGe and UTe${}_2$--

Abstract

We report on theoretical studies on ferromagnetic superconductors, URhGe, and UCoGe and identifies the pairing state as a non-unitary spin-triplet one, analogous to superfluid ${}^3$He-A phase. A recently found superconductor UTe${}_2$ with almost ferromagnet is analyzed by the same manner. Through investigating their peculiar upper critical field $H_{c2}$ shapes, it is shown that the pairing symmetry realized in all three compounds can be tuned by their magnetization curves under applied fields. This leads to the reentrant $H_{c2}$ in URhGe, an S-shaped in UCoGe and an L-shaped $H_{c2}$ in UTe${}_2$ observed under the field direction parallel to the magnetic hard axis in orthorhombic crystals in common. The identification with double chiral form: $\mathbf{d}(k)=(\hat{b}+i\hat{c})(k_b+i{k}_c)$ in UTe${}_2$ naturally enables us to understand (1) multiple phases with A${}_1$, A${}_2$, and A${}_0$ phases observed under pressure, (2) the enhanced reentrant $H_{c2}$ for the off-axis direction fields associated with first order meta-magnetic transition, and (3) Weyl point nodes oriented along the $a$-axis. All three compounds are found to be topologically rich solid-state materials worth further investigation.

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Cited by in corpus (17)

• Unconventional Superconductivity in UTe2
• Quasi-2D Fermi surface in the anomalous superconductor UTe2
• Single-Component Superconductivity in UTe${}_2$ at Ambient Pressure
• A review of UTe${}_2$ at high magnetic fields
• Enhanced triplet superconductivity in next generation ultraclean UTe2
• Violation of the Pauli-Clogston limit in a heavy Fermion superconductor CeRh${}_2$As${}_2$ --Duality of itinerant and localized 4f electrons--
• Slow Electronic Dynamics in the Paramagnetic State of UTe${}_2$
• Reinforcement of superconductivity by quantum critical fluctuations of metamagnetism in UTe${}_2$
• Superconducting Order Parameters in Spin Space Groups: Methodology and Application
• Violation of the orbital depairing limit in a non-unitary state --on the high field phase in the heavy Fermion superconductor UTe${}_2$--
• Reentrant proximity-induced superconductivity for GeTe semimetal
• Theoretical studies on off-axis phase diagrams and Knight shifts in UTe${}_2$ -- Tetra-critical point, d-vector rotation, and multiple phases
• Microscopic theory of pair density waves in spin-orbit coupled Kondo lattice
• Self-reconstruction of order parameter in spin-triplet superconductor UTe${}_2$
• Slow magnetic quantum oscillations in the c-axis magnetoresistance of UTe${}_2$
• A unified theoretical framework for Kondo superconductors: Periodic Anderson impurities with attractive pairing and Rashba spin-orbit coupling
• Anisotropic field response of specific heat for a ferromagnetic superconductor UCoGe in magnetic fields