Odd-parity magnetism constitutes an intriguing phase of matter which breaks inversion symmetry while preserving time-reversal symmetry. Here we demonstrate that the Fe-based superconductors exhibiting coplanar magnetic order realize an odd-parity magnetic state by combining low-energy modeling with density functional theory. In the absence of spin-orbit coupling, the electronic spins are polarized along the $k_z$ direction and the splitting of the up and down states exhibits an $h$-wave form factor. The magnitude of the splitting depends sensitively on specific parameters of the low-energy model, including specific out-of-plane hopping parameters and the Fermi energies of the hole- and electron-pockets. Interestingly, despite this state breaking inversion symmetry and exhibiting a finite out-of-plane Berry curvature and nonlinear anomalous Hall effect, the Edelstein effect vanishes. Incorporating spin-orbit coupling tilts the momentum-space electronic spins into the $(k_x,k_y)$ plane and imparts finite in-plane components to the Edelstein response. Our findings highlight the Fe-based superconductors as platforms for exploring odd-parity magnetism both on its own and coexisting with unconventional superconductivity.

Close

PrevNext

View figure in article

• Magnetic order
• Iron-based superconductors
• Noncollinear magnets
• Unconventional superconductors
• Density functional theory
• k dot p method