Magnetic induction of high angular momentum pairing symmetry

We show that two g-wave components of the order parameter are induced by the internal orbital motion of d-wave pairing electrons in the presence of a magnetic field without assuming additional pairing interactions. Near a d-wave vortex center, the g-wave components with a relative phase π/2 have an opposite winding number with respect to the dominant d-wave component. The spatial dependence of the magnetically induced g-wave components is the same as that of an induced s-wave component by spatial variation of the d-wave component and each g-wave component has a fourfold symmetry. Therefore, the vortex has an eight-lobe profile.