  Superconductivity in topological materials has drawn a significant interest
of the scientific community as these materials provide a hint of the existence
of Majorana fermions conceived from the quantized thermal conductivity, a
zero-biased conduction peak and the anomalous Josephson effect. In this review,
we make a systematic study of recent advances in the field of topological
superconductivity. The article comprises of both bulk systems as well as
heterostructures. A brief description of Majorana fermions and their
relationship with topological superconductors and heterostructures is also
carried out. Also, this review consists of details of key experimental
techniques to characterize candidates of topological superconductivity.
Moreover, we summarize the potential material candidate that may demonstrate
topological superconductivity. We also consider some intrinsic odd-parity
superconductors, non-centrosymmetric, centrosymmetric superconductors, doped
topological insulators, doped topological crystalline insulators and some other
materials that are expected to show superconductivity along with topological
non-trivial states in bulk from. The effect of pressure, emergence of
superconductivity in topological materials and Muon Spin Rotation studies are
also summarized in this article.
