Theory of spin-polarized superconductors -- an analogue of superfluid ${}^3$He A-phase

Abstract

It is shown theoretically that ferromagnetic superconductors, UGe${}_2$, URhGe, and UCoGe can be described in terms of the A-phase like triplet pairing similar to superfluid ${}^3$He in a unified way, including peculiar reentrant, S-shape, or L-shape $H_{c2}$ curves. The associated double transition inevitable between the A${}_1$ and A${}_2$-phases in the $H$-$T$ plane is predicted, both of which are characterized by non-unitary state with broken time reversal symmetry and the half-gap. UTe${}_2$, which has been discovered quite recently to be a spin-polarized superconductor, is analyzed successively in the same view point, pointing out that the expected A${}_1$-A${}_2$ transition is indeed emerging experimentally. Thus the four heavy Fermion compounds all together are entitled to be topologically rich solid state materials worth further investigating together with superfluid ${}^3$He A-phase.

6 pages, 2 figures

References in corpus (10)

• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Unconventional Superconductivity in Heavy Fermion UTe2
• Review of U-based Ferromagnetic Superconductors: Comparison between UGe2, URhGe, and UCoGe
• Metamagnetic Transition in Heavy Fermion Superconductor UTe2
• 125Te-NMR Study on a Single Crystal of Heavy Fermion Superconductor UTe2
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Dimensionality driven enhancement of ferromagnetic superconductivity in URhGe
• Superconducting Gap of UCoGe probed by Thermal Transport
• Coexistent spin-triplet superconducting and ferromagnetic phases induced by the Hund's rule coupling and electronic correlations II: Effect of applied magnetic field
• Superconductivity at the Pressure-Induced Ferromagnetic Critical Region in UCoGe

Cited by in corpus (23)

• Unconventional Superconductivity in UTe2
• Multiple Superconducting Phases and Unusual Enhancement of the Upper Critical Field in UTe2
• Periodic Anderson model for magnetism and superconductivity in UTe2
• Topological band and superconductivity in UTe${}_2$
• Low-dimensional antiferromagnetic fluctuations in the heavy-fermion paramagnetic ladder UTe${}_2$
• Orientation of point nodes and nonunitary triplet pairing tuned by the easy-axis magnetization in UTe2
• Quasi-2D Fermi surface in the anomalous superconductor UTe2
• Single-Component Superconductivity in UTe${}_2$ at Ambient Pressure
• Field-Induced Superconductivity near the Superconducting Critical Pressure in UTe2
• Triplet pairing mechanisms from Hund's-Kondo models: applications to UTe${}_2$ and CeRh${}_2$As${}_2$
• Violation of the Pauli-Clogston limit in a heavy Fermion superconductor CeRh${}_2$As${}_2$ --Duality of itinerant and localized 4f electrons--
• Heat capacity double transitions in time-reversal symmetry broken superconductors
• Non-unitary triplet superconductivity tuned by field-controlled magnetization --URhGe, UCoGe and UTe${}_2$--
• Longitudinal spin fluctuations driving field-reinforced superconductivity in UTe${}_2$
• Notes on multiple superconducting phases in UTe${}_2$ ---Third transition---
• Topological Anomalous Skin Effect in Weyl Superconductors
• Multiphase superconductivity in PdBi2
• Violation of the orbital depairing limit in a non-unitary state --on the high field phase in the heavy Fermion superconductor UTe${}_2$--
• Theoretical studies on off-axis phase diagrams and Knight shifts in UTe${}_2$ -- Tetra-critical point, d-vector rotation, and multiple phases
• 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${}_2$
• Nodal Superconductivity of UTe${}_2$ Probed by Field-Angle-Resolved Specific Heat on a Crystal with $T_{\mathrm{c}}=2.1$ K