  Topological quantum materials hold great promise for future technological
applications. Their unique electronic properties, such as protected surface
states and exotic quasiparticles, offer opportunities for designing novel
electronic devices, spintronics, and quantum information processing. The origin
of the interplay between various electronic orders in topological quantum
materials, such as superconductivity and magnetism, remains unclear,
particularly whether these electronic orders cooperate, compete, or simply
coexist. Since the 2000s, the combination of topology and matter has sparked a
tremendous surge of interest among theoreticians and experimentalists alike.
Novel theoretical descriptions and predictions, as well as complex experimental
setups confirming or refuting these theories, continuously appear in renowned
journals. This review aims to provide conceptual tools to understand the
fundamental concepts of this ever-growing field. Superconductivity and its
historical development will serve as a second pillar alongside topological
materials. While the primary focus will be on topological superconductors,
other topological materials, such as topological insulators and topological
semimetals, will also be explained phenomenologically.
