Information-theoretic analysis of dirac states in disclinated graphene quantum rings

Abstract In this paper, we study Dirac fermions confined in a graphene quantum ring with wedge disclinations under an external magnetic flux. The topological defect is modeled through a conical geometry, inducing effective gauge contributions in the angular sector of the Dirac Hamiltonian. In this case, analytical expressions for the energy spectrum are obtained under infinite-mass boundary conditions, revealing a nontrivial interplay between curvature, magnetic flux, and angular momentum quantization. Within an information-theoretic framework, we compute the Shannon entropies in position and momentum spaces. Also, the results show that both magnetic flux and topological charge significantly affect localization properties, redistributing uncertainty between conjugate spaces while preserving the entropic uncertainty relation. In this context, our results demonstrate that geometric defects act as tunable mechanisms for controlling spectral and informational properties in graphene-based mesoscopic systems.