Influence of hole doping on the superconducting state in graphane

The unique properties of two-dimensional materials have recently been attracting a huge amount of interest from researchers. From the point of view of potential applications in nanoelectronics, fully hydrogenated graphene (graphane) seems to be of particular interest. In the present paper, we analyze theoretically the possible superconductivity in hole-doped graphane. In particular, within the framework of the strong-coupling Eliashberg theory of superconductivity, we determine the superconducting transition temperature, the energy gap, the free energy and entropy differences between the superconducting and normal states, the thermodynamic critical field and the specific heat. The results obtained suggest that hole-doped graphane could potentially be a superconductor with a high transition temperature, T-C is an element of < 76, 108 > K, and with a large value of the superconducting energy gap, 2 Delta(0) is an element of < 27, 42 > meV. Moreover, it was shown that the thermodynamic properties of hole-doped graphane cannot be correctly described using the BCS (Bardeen-Cooper-Schrieffer) theory due to the strong-coupling and retardation effects.