![nodebox moire pattern nodebox moire pattern](https://scx2.b-cdn.net/gfx/news/hires/2019/5c827d403a6cf.jpg)
This opens up a platform for strongly correlated quantum many-body physics to take place. In fact, band structure calculations reveal that at certain twist angles (known as the magic angle), the electronic band near the Fermi energy can become very flat. This makes the interaction energy relatively more important compare to the kinetic energy, resulting in the enhanced interaction effect among the electrons. Since the kinetic energy of the electron positively correlates with its momentum, the reduced momentum on the superlattice implies a reduced kinetic energy. Exciting new physics can emerge on Moire superlattices, including Mott insulators, unconventional superconductors and possibly new topological phases.Ī simple intuition is that as the lattice length scale increases, the electronic matter wave also propagates at a longer wave length on the lattice, which corresponds to a lower momentum. Experimentally, the Moire superlattice can be realized by stacking 2D materials together, including graphene, hexagonal boron nitride (hBN), molybdenum disulfide and many others. The (quasi)periodic pattern forms a larger lattice, known as the Moire superlattice. As shown in the following figure, a Moire pattern has a spatial structure on a larger scale than either of the lattice along. When two periodic lattices lie on top of each other with a relative twist or a mismatched lattice constant, they can interfere to create a Moire pattern.