▎ 摘　　要

Starting from the Holstein model, we have investigated the effects of Rashba spin orbit coupling (RSOC) on density of states (DOS), electronic heat capacity (EHC) and magnetic susceptibility (MS) of boron nitride -doped (BN-doped) graphene beyond the Dirac cone approximation within the Green's function approach. By using the self-consistent perturbation theory, retarded self -energy can be calculated. We have found that the band gap (the peak of EHC and MS) of the system increases (decreases) with RSOC and electron phonon (e-ph) interaction. Also, the Schottky anomaly moves only to the higher temperatures for strong RSOCs and e ph interactions. Also, our results show that the response of the system to an external magnetic field is scaled down in the presence of RSOC and e ph interaction.