Contribution of Geometry and Non-Abelian Gauge Fields to Aharonov-Bohm Scattering of Massless Fermions in Graphene with Disclinations

This work examines the effect of disclinations on the scattering of quasipaticles in graphene with the presence of a topological defect. Using the tight-binding method, the electronic properties of graphene with disclination are described, where the topological defects are introduced in the lattice via geometric theory. The massless Dirac equation is modified to account for the curvature induced by these defects, incorporating a gauge field. The results show that disclinations significantly affect the scattering process, altering phase shifts and interference patterns. The differential cross-section and its dependence on the scattering angle are analyzed, highlighting the role of geometric factors like the parameter α in shaping the scattering dynamics.