Mean Field Superconductivity Approach in Two Dimensions

Within the BCS theory of superconductivity we calculate the superconducting gap at a zero-temperature for metallic hydrogen–graphene system in order to estimate the superconducting critical temperature of quasi-two-dimensional highly oriented pyrolytic graphite. The obtained results are given as a function of the hydrogen-induced density of carriers n and their effective mass m ^⋆ . The obtained gap shows a Maxwell-like distribution with a maximum of ∼60 K at n∼3×10¹⁴ cm⁻² and m ^⋆ /m=1. The theoretical results are discussed taking into account recent experimental evidence for granular superconductivity in graphite.