Switchable phonon diodes using nonlinear topological Maxwell lattices

Di Zhou, Jihong Ma, Kai Sun, Stefano Gonella, and Xiaoming Mao
Phys. Rev. B 101, 104106 – Published 27 March 2020

Abstract

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.

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  • Received 23 December 2019
  • Revised 11 March 2020
  • Accepted 12 March 2020

DOI:https://doi.org/10.1103/PhysRevB.101.104106

©2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsNonlinear Dynamics

Authors & Affiliations

Di Zhou1,2,*, Jihong Ma3,4, Kai Sun1, Stefano Gonella3, and Xiaoming Mao1

  • 1Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA
  • 2School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
  • 3Department of Civil, Environmental, and Geo- Engineering, University of Minnesota, Minneapolis, Minnesota 55455, USA
  • 4Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA

  • *Corresponding author: dzhou90@gatech.edu

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Issue

Vol. 101, Iss. 10 — 1 March 2020

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