Thermodynamic properties of graphene nanoribbons under zero and quantizing magnetic fields
The thermodynamic properties of graphene nanoribbons under zero and finite magnetic fields have been investigated. We have obtained qualitative and quantitative results of the free energy and the magnetic susceptibility in graphene nanoribbons. The electronic states in the tight-binding approximation were used to calculate the thermal and magnetic properties. In the case of a finite magnetic field, the Harper equation was solved for the electronic state for various wave vectors. The magnetic field and temperature dependence of the magnetic susceptibility over a wide field and temperature range are presented.