Recent progress in topological mechanics has revealed a family of Maxwell lattices that exhibit topologically protected floppy edge modes. These modes lead to a strongly asymmetric elastic wave response. In this paper, we show how topological Maxwell lattices can be used to realize nonreciprocal transmission of elastic waves. Our design leverages the asymmetry associated with the availability of topological floppy edge modes and the geometric nonlinearity built into the mechanical systems' response to achieve the desired nonreciprocal behavior, which can be further utilized to form a phonon diode via the addition of on-site pinning potentials that blocks the linear transmission and only allows the signal to transmit in one way. Finally, the nonreciprocal wave transmission can be switched on and off via topological phase transitions, paving the way to the design of cellular metamaterials that can serve as tunable topologically protected phonon diodes.

中文翻译：

---

使用非线性拓扑麦克斯韦晶格的可开关声子二极管

拓扑力学的最新进展表明，麦克斯韦晶格家族具有拓扑保护的软盘边缘模式。这些模式导致强烈的非对称弹性波响应。在本文中，我们展示了如何利用拓扑麦克斯韦格来实现弹性波的不可逆传输。我们的设计利用了与拓扑软盘边缘模式的可用性和机械系统响应中内置的几何非线性相关的不对称性，以实现所需的不可逆行为，可以通过添加现场钉扎进一步将其用于形成声子二极管阻碍线性传输的电势，仅允许信号以一种方式传输。最后，不可逆波传输可以通过拓扑相变来开启和关闭，