Document Type

Article

Publication Date

9-18-2020

Department

Physics

Language

English

Publication Title

Physics Letters A

Abstract

Highlights

•We examine -experimentally and numerically- a two-dimensional nonlinear driven electrical lattice with honeycomb structure.

•We identify discrete breathers existing in the bulk and at the boundaries, either along the arm-chair or the zig-zag edges.

•Edge-localized breathers near the Dirac-point frequency while driving homogeneously the lattice subharmonically.

•This work can represent a starting point towards research of the interplay of nonlinearity and topology in a tractable system.

We examine - both experimentally and numerically - a two-dimensional nonlinear driven electrical lattice with honeycomb structure. Drives are considered over a range of frequencies both outside (below and above) and inside the band of linear modes. We identify a number of discrete breathers both existing in the bulk and also (predominantly) ones arising at the domain boundaries, localized either along the arm-chair or along the zig-zag edges. The types of edge-localized breathers observed and computed emerge in distinct frequency bands near the Dirac-point frequency of the dispersion surface while driving the lattice subharmonically (in a spatially homogeneous manner). These observations/computations can represent a starting point towards the exploration of the interplay of nonlinearity and topology in an experimentally tractable system such as the honeycomb electrical lattice.

Comments

Published as:
Palmero, F., L.Q. English, J. Cuevas-Maraver, and P.G. Kevrekidis. "Nonlinear Edge Modes in a Honeycomb Electrical Lattice Near the Dirac Points." Physics Letters A 384, no. 26 (2020): e126664. https://www.sciencedirect.com/science/article/abs/pii/S0375960120305314

© 2020 Elsevier B.V. All rights reserved.

This author post-print is made available on Dickinson Scholar with the permission of the publisher. For more information on the published version, visit Science Direct's Website.

© 2020. This post print is made available under the CC-BY-NC-ND 4.0 license: http://creativecommons.org/licenses/by-nc-nd/4.0/.

DOI

10.1016/j.physleta.2020.126664

Available for download on Sunday, September 18, 2022

Included in

Physics Commons

COinS