Topological aspects of non-centrosymmetric magnets

The concept of chirality has been influencing many branches of physics for centuries. Onthe other hand, study of topology and related concepts have recently been introduced to thephysics community. Exotic quasiparticles, such as magnetic skyrmions emerge when thesetwo elegant topics merge with each other. Among the many skyrmion hosts, Cu2OSeO3 isone of the very few insulators to host a skyrmion lattice to date. Being finite size objects,the ease of formation, stabilization as well as manipulation of skyrmions strongly dependon the boundary conditions imposed by the crystal geometry. Thus leading to the so-calledGeometrical Confinement Effects. In the first part of the thesis, this effect is explored in finedetails, starting with synthesis of Cu2OSeO3 particles in their relevant length scales. As afunction of their size, the emergent behaviour in this system of particles, is explored with helpof a number of sophisticated tools. Moreover, our experimental results are well-verified usingmicromagnetic simulations. We find distinct yet correlated signatures combining three of themost used frequency domains in physics. Our results will serve as the guiding principle forexploration of geometrical confinement effects in insulator-based application paradigms.The latter chapter deals with a higher dimensional multi-spin object, the so-called Hedgehoglattice. Discovery of a Hedgehog lattice in a novel inorganic crystal is reported in this chapter.We have combined solid-state synthesis with various bulk property measurement probesto properly characterize this system. True magnetic configuration has been determinedthrough many experiments performed at large scale facilities. Our results will not only sparkresearch interest among experimentalists, but also theorists working on emergent propertiesof topological materials.