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  • Letter

Existence of corner modes in elastic twisted kagome lattices

Hrishikesh Danawe1, Heqiu Li2, Hasan Al Ba'ba'a1, and Serife Tol1,*

  • 1Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 48109-2125, USA
  • 2Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-2125, USA

  • *Corresponding author: stol@umich.edu
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Phys. Rev. B 104, L241107 – Published 20 December, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.L241107

Abstract

This Letter investigates the emergence of corner modes in elastic twisted kagome lattices at a critical twist angle, known as the self-dual point. We show that special types of corner modes exist and they are localized at very specific types of corners independent of the overall shape of the finite lattice. Moreover, these modes appear even in the perturbed lattice at the corners with mirror planes. By exploring their counterparts in electronic systems, we attribute such corner modes to charge accumulation at the boundary, which is confirmed by the plot of charge distribution in a finite lattice.

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Phys. Rev. B 104, L241107– Published 20 December, 2021
  • Received 15 July 2021
  • Revised 1 November 2021
  • Accepted 17 November 2021
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