massless 2D fermions in string magnetic field

This bachelor thesis discusses Dirac equation for quasi two - dimensional system.Realistic example for Such system is graphene, and other newly discovered materials. Interest in this problem is driven by the fact that the elementary excitation has massless Dirac particle characteristics and qualities, however,as we know in this system in case of a strong magnetic field we have abnormal quantum Hall effect. I have read the literature non - relativistic and relativistic task as a result got energetical spectrum, where the energy is not proportional to the quantum number itself, but the square root, as well as, getting from Dirac equation Pauli equation for fermions.