  As an important class of systems with unique topological effects beyond the
periodic lattices, quasiperiodic topological structures have attracted much
attention in recent years. Due to the quasiperiodic modulation, the topological
states in the quasiperiodic topological structures have the characteristics of
self-similarity, which can be used to observe the charming Hofstadter
butterfly. In addition, because of the asymmetric distribution, the edge states
in quasiperiodic chain can be used to realize the adiabatic pumping. When the
topological parameters in quasiperiodic topological lattices are considered as
synthetic dimensions, they can also be used to study the topological properties
with higher dimensions. Here, by using ultra-subwavelength resonators, we
design and fabricate a type of one-dimensional quasiperiodic Harper chain with
asymmetric topological edge states for the directional wireless power transfer
(WPT). By further introducing a power source into the system, we selectively
light up two Chinese characters which is composed of LED lamps at both ends of
the chain. Moreover, the directional WPT implemented by the topological
quasiperiodic chain has the property of topological protection, which is immune
to the internal disorder perturbation of the structure. Not only do we apply
the asymmetric edge state for directional WPT, but also may further actively
control the directional WPT by using the external voltage. In addition, this
work provides a flexible platform for designing new WPT devices, such as using
the corner states in high-order topological structures or the skin effect in
the non-Hermitian topological lattices.
