Non-inertial effects in gapped graphene

Several studies emphasize the importance of accounting for non-inertial effects in curved space, particularly in the context of relativistic quantum mechanics and its practical applications. Notably, the background provided by graphene has demonstrated significant enhancements in various evolving quantum technologies. In light of this, we explore the non-inertial effects in gapped graphene, also known as massive graphene, wherein the mass term is contingent solely upon the separation between the valence and conduction bands in this semiconductor material. Our investigation focuses on analyzing the behavior and frequency of the Dirac oscillator when applied to a gapped graphene sheet subject to a topological defect known as a disclination in a rotating frame. Additionally, we explore the topological ramifications on relativistic energy levels, alongside deriving the Dirac spinors for positive energy solutions. Furthermore, we investigate the persistent current and magnetization within the rotating frame, providing a comprehensive analysis of the system’s dynamics and properties.