Observation of Gigahertz Topological Valley Hall Effect in Nanoelectromechanical Phononic Crystals
Qicheng Zhang, Daehun Lee, Lu Zheng, Xuejian Ma, Shawn I. Meyer, Li, He, Han Ye, Ze Gong, Bo Zhen, Keji Lai, A. T. Charlie Johnson

TL;DR
This paper demonstrates gigahertz topological valley Hall effect in nanoelectromechanical phononic crystals, visualizing elastic wave propagation with microwave microscopy and showing robust, disorder-resistant edge states for potential quantum and classical information applications.
Contribution
It reports the first nanoscale realization and direct visualization of gigahertz topological valley Hall effect in nanoelectromechanical systems.
Findings
Visualization of elastic wave propagation at nanoscale.
Observation of topologically protected valley Hall edge states.
Robust wave transmission despite disorder and sharp corners.
Abstract
Topological phononics offers numerous opportunities in manipulating elastic waves that can propagate in solids without being backscattered. Due to the lack of nanoscale imaging tools that aid the system design, however, acoustic topological metamaterials have been mostly demonstrated in macroscale systems operating at low (kilohertz to megahertz) frequencies. Here, we report the realization of gigahertz topological valley Hall effect in nanoelectromechanical AlN membranes. Propagation of elastic wave through phononic crystals is directly visualized by microwave microscopy with unprecedented sensitivity and spatial resolution. The valley Hall edge states, protected by band topology, are vividly seen in both real- and momentum-space. The robust valley-polarized transport is evident from the wave transmission across local disorder and around sharp corners, as well as the power distribution…
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