Topological surface states and superconductivity in non-centrosymmetric PbTaSe₂

A topological superconductor exhibits chiral p-wave pairing symmetry and hosts Majorana fermions. The predicted emergent phenomena in such a system and its application for topological quantum computation make it a pivotal focus of research. Stoichiometric non-centrosymmetric superconductor PbTaSe₂ has emerged as a strong candidate material due to possible parity mixing in bulk superconductivity and superconducting topological surface state (TSS). In this review, we summarize recent progress on the study of PbTaSe₂, including bulk superconductivity, topological band structure, superconducting TSS and the elusive Majorana bound state within.