Electronic transport through a graphene disk under magnetic field and strain
We consider the scattering of Dirac particles in graphene due to the superposition of an external magnetic field and mechanical strain. Since graphene can be described by a Dirac Hamiltonian in the low energy limit, we find exact analytical solutions for single-particle states inside and outside the region submitted to the fields. Finally, we obtain analytical expressions for the scattering cross-section, as well as for the Landauer current through the region. Our results suggest that measurements of the electric conductance, combined with a controlled magnetic field, may be used for the construction of a piezoelectric sensor based on this principle.