Magnetic susceptibility of graphene in non-commutative phase-space: Extensive and non-extensive entropy

.In this work, we consider a non-commutative description of graphene. We have employed extensive and non-extensive entropies to study magnetic susceptibility of graphene in non-commutative phase-space. To this end, we have used the Shannon and Tsallis entropies. According to the obtained results, we have found that the magnetic susceptibility has a positive value by using the Shannon entropy. But, by using the Tsallis entropy, we have obtained both positive and negative values for the magnetic susceptibility of graphene. Also, we have found a transition between positive and negative susceptibility by using the Tsallis entropy which depends on both temperature and non-extensive parameter. There is not any transition by using the Shannon entropy.