Contribution of geometry and non-Abelian gauge fields to Aharonov-Bohm scattering of massless fermions in graphene with disclinations

We investigate the scattering of massless Dirac quasiparticles in graphene in the presence of topological disclinations. The defects are modeled within the framework of the geometric theory of defects, modifying the underlying lattice structure through a conical geometry. Starting from the tight-binding approach, we derive an effective Dirac equation that incorporates both the curvature induced by the disclination and an associated non-Abelian gauge field. Analytical solutions are obtained, and the resulting phase shifts and differential cross-sections are computed. Our findings reveal that the disclination strongly modifies the interference pattern, with the parameter $\alpha$ playing a central role in controlling the angular structure of the scattering. These results highlight the interplay between geometry and gauge fields in determining quantum transport in defected graphene.