3:30 PM
4:30 PM
Due to their semi-metallic nature, Dirac fermions in honeycomb lattice two-dimensional (2D) crystals are ideal candidates to host topological states. Even more interesting are twisted 2D crystals which can support both topological bands and strong interactions. When two graphene sheets are rotated at a relative angle, the band dispersion undergoes a reconstruction. At certain small magic angles, bilayer graphene supports flat or weakly dispersing bands, where the kinetic energy of the Dirac fermions becomes smaller than their mutual interactions. In this situation, interactions and disorder determine the physics. Twisting and straining 2D crystals have emerged as promising routes to realize correlated states in 2D crystals. Similarly, at high magnetic fields, multi-layer graphene and twisted bilayer graphene exhibit topological bands and various correlated states. In this talk, I will discuss possibility of superconductivity in strained graphene and correlated ferromagnetic states in twisted bilayer graphene at high magnetic fields. I will also discuss a new class of interacting and non-interacting symmetry protected topological phases stabilized by mirror symmetry in 2D Dirac semi-metals. This state coined the quantum parity Hall state, exhibits two one-dimensional counter-propagating metallic edge states, distinguished by even or odd parity under the system’s mirror reflection symmetry.