▎ 摘　　要

This article comprehensively reviews the theoretical attempts toward prediction and subsequent realization of superconductivity in graphene and other two-dimensional (2-D) elemental materials and their compounds. From the large family of 2-D materials, a potential set of candidates were categorized by the researchers employing first principle study, mostly with density functional theory as a tool. The effect of different external chemical and physical parameters such as charge doping (through intercalation, substitution, electric field, etc.), pressure, and strain on superconducting transition of these materials was also summarized. Due to severe difficulty in the implementation techniques, only a handful of experimental authentications were reported by researchers so far. Experimental investigations on the effect of influencing external parameters mentioned above were also in a nascent state. Researchers are in search of unconventional superconductivity and Ising effect in graphene and other 2-D materials, which can eventually lead to higher critical temperature and higher limit of in-plane magnetic field. However, the implementation across the whole spectrum is still a crucial challenge.