A study of magneto-optical and magnetic properties of band-engineered 2D Dirac semimetals
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This thesis investigates the electronic and magnetic properties of low-dimensional quantum materials using analytical modeling, continuum theories, and numerical simulations. The study focuses on nonsymmorphic Dirac semimetals, Bernal bilayer graphene, and twisted bilayer graphene, exploring how lattice symmetry and external perturbations, such as magnetic fields, influence the band structure and stabilize novel quantum phases, including gapped, semi-metallic, and topological states. The work begins by developing a framework to describe the magneto-optical properties of nonsymmorphic semimetals, including optical absorbance and polarization rotations (Faraday and Kerr) under magnetic fields or intrinsic magnetization coupling with the out-of-plane spin. The focus then shifts to Bernal-stacked bilayer graphene, where we analyze the insulator–metal phase transition driven by an in-plane magnetic field and an out-of-plane displacement field. This transition occurs at high magnetic fields, leading us to propose the role of trigonal warping in reducing the critical field to experimentally accessible values. Also, we explore an investigation of twisted systems, where the reduced size of the Moiré Brillouin zone further enhances tunability. While the insulator–metal transition is not observed in twisted bilayer graphene, twisted multilayer graphene could provide an excellent platform to visualize similar effects, potentially revealing unique signatures in its magnetic response.
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Ph. D.