Topological quantum states have emerged as a transformative class of materials within condensed matter physics, profoundly extending its traditional boundaries. The revolutionary concept of topological order, first conceptualized through the exploration of the quantum Hall effect, represents a significant departure from Landau's symmetry-breaking paradigm. This new classification system distinguishes materials based on their electronic properties in momentum space into topologically trivial and non-trivial categories. This shift has led to the discovery of diverse novel topological quantum states, such as quantum Hall states, quantum anomalous Hall states, topological insulators (TI), Weyl and Dirac semimetals, and axion insulators. The search for new topological quantum states, the realization of theoretical predictions, and the potential for spintronic applications drive the need for innovative material platforms. Often, these exotic topological states emerge from the complex interplay between non-trivial topology and other physical phenomena, including superconductivity and magnetism.

This dissertation is dedicated to exploring new magnetic quantum materials that exhibit intricate interactions between non-trivial topology and magnetism, which are pivotal for advancing our understanding and application of topological phenomena. Our research scrutinizes four materials, each with distinctive magnetic and topological properties: the intrinsic magnetic topological insulator Mn(Bi,Sb)4Te7, the potential ferrovalley candidate Cr0.32Ga0.68Te2.33, the well-established topological insulator Bi2Se3, and SnMnBi2Te5, notable for its high Curie temperature ferromagnetism and prospective non-trivial topological states.