Bulk localized transport states in infinite and finite quasicrystals via magnetic aperiodicity

Abstract

Topological edge states can form when a charged particle confined to a crystalline lattice interacts with a magnetic field. These edge states are localized to the boundary and can support transport along the edge even with an insulating bulk. Here, the authors show that a different state that supports transport in the bulk can emerge when the charged particle is on a quasicrystalline lattice. Utilizing a recently developed spectral computation technique, they show that these new bulk localized transport (BLT) states survive in the infinite-size limit.