Superconductivity and magnetism are antagonistic states of matter. The presence of spontaneous magnetic fields inside the superconducting state is, therefore, an intriguing phenomenon prompting extensive experimental and theoretical research. In this talk, I will discuss our recent theoretical proposals of Loop-super current order  and Internally antisymmetric nonunitary triplet state  which can be realized in two different classes of these materials. We make predictions of definitive experimental signatures that are well within the reach of present experimental technology.
 S. K. Ghosh et al. arXiv: 1803.02618.
 S. K. Ghosh et al. arXiv: 1912.08160.