Spin-orbit physics stemming from mixed parity superconductivity: A relationship between mixed parity superconductivity and magnetism with spin-orbit coupling

We show that Hamiltonian for mixed parity superconductivity can be recast into that for magnetism with spin-orbit coupling by the Schrieffer-Wolff transformation, indicating that mixed parity superconductivity and magnetism with spin-orbit coupling can share the same physics. As demonstrations, we discuss the Dzyaloshinskii-Moriya type interactions, magnetoelectric effect, supercurrent-induced spin current, and altermagnetism in mixed parity superconductors. All these effects originate purely from mixed parity superconductivity.