Localization in Disordered Lattices of Classical Magnets

We have constructed a system of freely rotating 1” permanent bar magnets that can be organized in arbitrary lattices. Here, we looked for classical localization in a square lattice (of 7 x 22 sites) by driving one magnet on the boundary and observing the motion of the others in response. We began with a regularly spaced square lattice, and then looked at disordered lattices formed by introducing geometric disorder to the square lattice by displacing lattice sites by fixed distances in random directions. With larger displacements, which we characterize as larger disorder, we find that motion is localized to small regions about the moving magnet. We will share our progress in studying the dynamics of these lattices and the localization in disordered lattices.