Twisted or disordered structures create moiré patterns that trap sound, light, or generate topological defects like skyrmions.Moiré patterns arise when two periodic structures are superimposed with a slight twist or mismatch, creating a new, larger-scale pattern. In physics, these patterns can dramatically alter the electronic, optical, and acoustic properties of materials. For example, twisting two layers of graphene at a 'magic angle' can turn it into a superconductor, and similar effects can trap sound waves or create topological defects like skyrmions.
Moiré patterns have been known in optics for centuries, but their application to condensed matter physics exploded after 2018, when Pablo Jarillo-Herrero's group at MIT demonstrated superconductivity in twisted bilayer graphene. The concept of topological defects like skyrmions in moiré systems is even more recent, emerging in the 2020s.
When two lattices are twisted, the local atomic alignment varies periodically, creating regions of different electronic or mechanical properties. This periodic variation acts as a superlattice potential, which can flatten electronic bands and enhance electron-electron interactions, leading to correlated states like superconductivity. For sound or light, the moiré pattern can create band gaps or waveguides, trapping waves in specific regions.
Moiré engineering is used to design novel quantum materials with tunable properties, potentially leading to new types of transistors, superconducting devices, and quantum computers.
The 'magic angle' for twisted bilayer graphene is approximately 1.1 degrees, and even a tiny deviation of 0.1 degrees destroys the superconducting state.




