First principle exploration of magnetism andtopology*

Recently there has been a surge in exploring the interplay between magnetism and topology. In the last decade an intensive investigation has been carried out as far as nonmagnetic topological systems are concerned, both from theoretical as well as from experimental perspective. As far as discussing the nontrivial properties of topological systems are concerned, the concept of band inversion, hybridization effect will be of utmost importance. While discussing these, we would also like to mention the effects due to change in the lattice parameters, how the overall topological properties will change, the manifestation of the same will then be reflected in the calculated band structures. The reason being, change in lattice parameters will basically hints towards a change in the hopping terms, if we consider things within the perspective of tight binding model, these along with the influence by different correlation parameters, such as 'Hubbard U' will lead to the emergence of various nontrivial properties. Apart from discussing topological properties with pristine structures, we would also like to discuss some of the newly emerging phenomena, while considering hetero-structures. The advantages of using hetero-structures in discussing these new physics, is that it gives us a freedom to manipulate the distance between one-type of systems to other-type of systems, such as for example we can vary the distance between a non-magnetic systems and a magnetic systems, and hence can observe the proximity effect and related features. We can also prepare low-dimensional hetero-structures, i.e slab consist of different type of systems and can in principle manipulate the magnetic correlation in order to get ferromagnetic, antiferromagnetic systems.