Twistronics: manipulating the spectrum of Hamiltonian operators for two-dimensional layered structures through their twist angle
Mitchell Luskin, University of Minnesota

 Stacking and twisting a few layers of 2D materials such as graphene opens the possibility of tuning the electronic and optical properties
of 2D materials. One of the main issues encountered in the modeling of 2D heterostructures is that lattice mismatch and rotations between the layers destroys the periodic character of the system. I will present basic concepts and efficient computational methods for mechanical  relaxation, electronic density of states, and transport in the incommensurate setting.

  Correlated superconductivity and insulating states has recently been  discovered in twisted bilayer graphene at a “magic” twist angle with
 an isolated “flat band.”  I will describe our search for correlated  superconductivity and insulating states in twisted trilinear graphene
 in collaboration with the experimental group of Ke Wang by computing  its mechanical relaxation and the spectrum (band structure) of its