Topological States and Adiabatic Pumping in Quasicrystals
The discovery of topological insulators has sparked considerable interest in
the study of topological phases of matter. Yet, realizations of these phases
of matter are scarce. In this talk we will show, both theoretically and
experimentally, that quasicrystals possess high-dimensional topological
phases. We will demonstrate that 1D quasicrystals exhibit topological
properties that were, thus far, thought to be limited to 2D systems. Using
photonic quasicrystals, we observe localized boundary states, which
manifest these topological properties. These states are used to realize an
adiabatic optical pumping. Generalization to various types of quasicrystals
and higher dimensions will also be discussed.
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