<p>Topological insulators were originally discovered for electron waves in condensed-matter systems. Recently, this concept has been transferred to bosonic systems such as photons<sup><CitationRef CitationID="CR1">1</CitationRef></sup> and phonons<sup><CitationRef CitationID="CR2">2</CitationRef></sup>, which propagate in materials patterned with artificial lattices that emulate spin-Hall physics. This work has been motivated, in part, by the prospect of topologically protected transport along edge channels in on-chip circuits<sup><CitationRef CitationID="CR2">2</CitationRef>,<CitationRef CitationID="CR3">3</CitationRef></sup>. In principle, topology protects propagation against backscattering, but not against loss, which has remained limited to the dB cm<sup>−1</sup> level for phononic waveguides, whether topological<sup><CitationRef AdditionalCitationIDS="CR5 CR6" CitationID="CR4">4</CitationRef>–<CitationRef CitationID="CR7">7</CitationRef></sup> or not<sup><CitationRef AdditionalCitationIDS="CR9 CR10 CR11 CR12 CR13 CR14 CR15 CR16 CR17 CR18" CitationID="CR8">8</CitationRef>–<CitationRef CitationID="CR19">19</CitationRef></sup>. Here we combine advanced dissipation engineering<sup><CitationRef CitationID="CR20">20</CitationRef></sup>—in particular, the recently introduced method of soft clamping<sup><CitationRef CitationID="CR21">21</CitationRef></sup>—with the concept of valley-Hall topological insulators for phonons<sup><CitationRef AdditionalCitationIDS="CR23 CR24 CR25" CitationID="CR22">22</CitationRef>–<CitationRef CitationID="CR26">26</CitationRef></sup>. This enables on-chip phononic waveguides with propagation losses due to dissipation of 3 dB km<sup>−1</sup> at room temperature, orders of magnitude below any previous chip-scale devices. The low losses also allow us to accurately quantify backscattering protection in topological phononic waveguides, using high-resolution ultrasound spectroscopy. We infer that phonons follow a sharp, 120° bend with a 99.99% probability instead of being scattered back, and less than one phonon in a million is lost. Our work will inspire new research directions on ultralow-loss phononic waveguides and will provide a clean bosonic system for investigating topological protection and non-Hermitian topological physics.</p>

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A soft-clamped topological waveguide for phonons

  • Xiang Xi,
  • Ilia Chernobrovkin,
  • Jan Košata,
  • Mads B. Kristensen,
  • Eric Langman,
  • Anders S. Sørensen,
  • Oded Zilberberg,
  • Albert Schliesser

摘要

Topological insulators were originally discovered for electron waves in condensed-matter systems. Recently, this concept has been transferred to bosonic systems such as photons1 and phonons2, which propagate in materials patterned with artificial lattices that emulate spin-Hall physics. This work has been motivated, in part, by the prospect of topologically protected transport along edge channels in on-chip circuits2,3. In principle, topology protects propagation against backscattering, but not against loss, which has remained limited to the dB cm−1 level for phononic waveguides, whether topological47 or not819. Here we combine advanced dissipation engineering20—in particular, the recently introduced method of soft clamping21—with the concept of valley-Hall topological insulators for phonons2226. This enables on-chip phononic waveguides with propagation losses due to dissipation of 3 dB km−1 at room temperature, orders of magnitude below any previous chip-scale devices. The low losses also allow us to accurately quantify backscattering protection in topological phononic waveguides, using high-resolution ultrasound spectroscopy. We infer that phonons follow a sharp, 120° bend with a 99.99% probability instead of being scattered back, and less than one phonon in a million is lost. Our work will inspire new research directions on ultralow-loss phononic waveguides and will provide a clean bosonic system for investigating topological protection and non-Hermitian topological physics.