利用声学超材料快速原型化kagome平带物理

中文摘要 AI 辅助

具有消失群速度和淬灭动能的平带为关联态和非常规超导等奇异现象提供了肥沃的土壤。然而，在量子材料中工程化和表征平带耗时且昂贵，限制了探索可能平带系统的广阔设计空间。声学超材料提供了一种易于获取的替代方案：它们易于模拟、制造成本低且测量快速。在此，我们提出一个完整的工作流程，利用声学超材料快速原型化平带系统。我们的设计直接实现紧束缚模型，以空气腔作为晶格位点，通过控制跃迁的通道连接，使其能够推广到多种晶格几何结构。以kagome晶格作为概念验证，我们展示了紧束缚理论、有限元模拟和实验测量之间的极好一致性。随后，我们设计了一系列扩展kagome晶格，其新增位点抵消了越来越长程的跃迁，从而使平带更加平坦。由于制造和测量只需数小时而非数月，且总成本比量子材料低数个数量级，我们的方法能够快速迭代候选晶格，促进量子材料中新平带物理的发现。

英文摘要

Flat bands with vanishing group velocity and quenched kinetic energy provide fertile ground for correlated states and exotic phenomena such as unconventional superconductivity. Yet, engineering and characterizing flat bands in quantum materials is time-consuming and costly, limiting the exploration of the vast design space of possible flat band systems. Acoustic metamaterials offer an accessible alternative: they can be easily simulated, cheaply fabricated, and quickly measured. Here we present a complete workflow to rapidly prototype flat band systems using acoustic metamaterials. Our design directly implements a tight-binding model using air cavities as lattice sites connected by channels that control hopping, allowing it to generalize to diverse lattice geometries. Using the kagome lattice as a proof-of-concept, we demonstrate excellent agreement between tight-binding theory, finite-element simulations, and experimental measurements. We then design a family of extended kagome lattices whose added sites cancel successively longer-range hopping, flattening the flat band. With fabrication and measurement requiring hours rather than months and a total cost orders of magnitude lower than quantum materials, our approach enables rapid iteration through candidate lattices, facilitating the discovery of new flat band physics in quantum materials.

发表机构

• Wellesley College（韦尔斯利学院）
• Harvard University（哈佛大学）
• Massachusetts Institute of Technology（麻省理工学院）
• Stanford University（斯坦福大学）
• Rice University（莱斯大学）

机构由 AI 辅助整理，请以论文原文为准。