Mathematical Modeling and Numerical Analysis for Incommensurate 2D Materials

This lecture covers real space and momentum space methods for relaxed 2D heterostructures, incommensurate lattices, tight-binding model, equidistribution of lattice shifts, density of states approximation, shifted Hamiltonian, thermodynamic limit, exponential convergence of local density of states, mechanical relaxation, energy landscape in bilayer graphene, and error estimates for Hamiltonian domain reduction.