arXiv:2604.07379cond-mat.mes-hallcs.LG2026-04

用数据驱动设计准晶体结构,实现超高灵敏度纳米谐振器。

Quasicrystal Architected Nanomechanical Resonators via Data-Driven Design

  • 基于数据驱动框架,将准晶体用于纳米谐振器设计。
  • 12重对称准晶体谐振器达10⁷量级品质因数和26.4 aN/√Hz灵敏度。
  • 突破周期结构限制,适合高精度传感与量子器件研究者。

从蝴蝶翅膀到核爆残余物,非周期性有序在自然界中反复出现,常表现出对边界和对称性约束的低敏感性。受此启发,本研究提出将纳米机械谐振器设计范式从周期结构转向非周期结构,聚焦于一类特殊结构——准晶体(QCs)。尽管通过声子禁带实现软夹持已成为实现高$Q_m$纳米谐振器的核心策略,但其实现长期局限于周期性声子晶体,其带结构工程已较为成熟。而非周期架构的潜力因内在复杂性及缺乏系统性方法识别和利用禁带行为而未被充分探索。本文首次证明,准晶体架构可实现软夹持,并通过数据驱动设计框架系统构建高$Q_m$纳米谐振器。以12重对称准晶体为例,其在兆赫兹频率下实现$Q_m \sim 10^7$、有效质量低于纳克级,对应卓越的力灵敏度为$26.4\,\text{aN}/\sqrt{\text{Hz}}$,显著优于以往二维声子晶体。该结果确立了准晶体作为下一代纳米谐振器的可靠平台,开启超越周期秩序的新设计范式。

原文摘要 · Abstract (English)

From butterfly wings to remnants of nuclear detonation, aperiodic order repeatedly emerges in nature, often exhibiting reduced sensitivity to boundaries and symmetry constraints. Inspired by this principle, a paradigm shift is introduced in nanomechanical resonator design from periodic to aperiodic structures, focusing on a special class: quasicrystals (QCs). Although soft clamping enabled by phononic stopbands has become a central strategy for achieving high-$Q_m$ nanomechanical resonators, its practical realization has been largely confined to periodic phononic crystals, where band structure engineering is well established. The potential of aperiodic architectures, however, has remained largely unexplored, owing to their intrinsic complexity and the lack of systematic approaches to identifying and exploiting stopband behavior. Here we demonstrate that soft clamping can be realized in quasicrystal architectures and that high-$Q_m$ nanomechanical resonators can be systematically achieved through a data-driven design framework. As a representative demonstration, the 12-fold QC-based resonator exhibits a quality factor $Q_m \sim 10^7$ and an effective mass of sub-nanograms at MHz frequencies, corresponding to an exceptional force sensitivity of $26.4$~aN/$\sqrt{\text{Hz}}$ compared to previous 2D phononic crystals. These results establish QCs as a robust platform for next-generation nanomechanical resonators and open a new design regime beyond periodic order.

准晶体纳米谐振器数据驱动高灵敏度

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