Twistronics in bilayer graphene and other systems

The discovery of twisted bilayer graphene initiated the idea that a novel platform with unprecedented tunability can be garnered with a simple relative twist between two layers. For graphene systems, this technology has generated a versatile system where flat band, superconductivity and magnetism are intertwined. We present our work on the theory of Wannier pair in twisted bilayer graphene. For comparisons, we also study graphene on boron-nitride (GBN) possessing a different Moire pattern, and single-layer graphene (SLG) without a Moire pattern. We will also present novel properties emanating from similar bi-layer systems.

[1] S. Ray, J. Jung, and T. Das, Wannier pairs in the superconducting twisted bilayer graphene and related systems, Phys. Rev. B, 99, 134515 (2019).