Topological properties of ferromagnetic superconductors

Abstract

A variety of heavy fermion superconductors, such as UCoGe, UGe${}_2$, and URhGe exhibit a striking coexistence of bulk ferromagnetism and superconductivity. In these systems, the magnetic moment decreases with pressure, and vanishes at a ferromagnetic quantum critical point (qcp). Remarkably, the superconductivity in UCoGe varies smoothly with pressure across the qcp and exists in both the ferromagnetic and paramagnetic regimes. We argue that in UCoGe, spin-orbit interactions stabilize a time-reversal invariant odd-parity superconductor in the high pressure paramagnetic regime. Based on a simple phenomenological model, we predict that the transition from the paramagnetic normal state to the phase where superconductivity and ferromagnetism coexist, is a first-order transition.

6 pages, 3 figures, References added

References in corpus (6)

• Superconductivity on the border of weak itinerant ferromagnetism in UCoGe
• Anisotropic magnetic fluctuations in the ferromagnetic superconductor UCoGe studied by angle-resolved ^{59}Co NMR
• Quantum transport in noncentrosymmetric superconductors and thermodynamics of ferromagnetic superconductors
• Reentrant superconductivity in URhGe
• Coexistence of itinerant ferromagnetism and a non-unitary superconducting state with line nodes: possible application to UGe${}_2$
• Superconductivity in Uranium Compounds

Cited by in corpus (11)

• Spontaneously polarized half-gapped superconductivity
• Review of U-based Ferromagnetic Superconductors: Comparison between UGe2, URhGe, and UCoGe
• Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
• $Z_4$ Topological Superconductivity in UCoGe
• Phase diagram of UCoGe
• Magnetic Response of Majorana Kramers Pairs Protected by Z2 Invariants
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Odd-Parity Spin-Triplet Superconductivity in Centrosymmetric Antiferromagnetic Metals
• Majorana fermion arcs and the local density of states of UTe${}_2$
• Theory of type-II superconductivity in ferromagnetic metals with triplet pairing
• Fulde-Ferrell state in ferromagnetic chiral superconductor with magnetic domain wall