Nonlinear wave dynamics in honeycomb lattices

TL;DR

This paper investigates nonlinear wave behavior in honeycomb lattices, revealing that wave packets maintain their shape during propagation, and Klein tunneling persists despite nonlinear effects, with implications for wave control in such structures.

Contribution

It introduces a new understanding of nonlinear wave dynamics in honeycomb lattices, especially the separation into left and right movers and the robustness of Klein tunneling.

Findings

Wave packets can be separated into left and right movers in honeycomb lattices.

Wave packets maintain their intensity structure despite nonlinear phase evolution.

Klein tunneling is not suppressed by nonlinearity.

Abstract

We study the nonlinear dynamics of wave packets in honeycomb lattices, and show that, in quasi-1D configurations, the waves propagating in the lattice can be separated into left-moving and right-moving waves, and any wave packet composed of left (or right) movers only does not change its intensity structure in spite of the nonlinear evolution of its phase. We show that the propagation of a general wave packet can be described, within a good approximation, as a superposition of left and right moving self-similar (nonlinear) solutions. Finally, we find that Klein tunneling is not suppressed due to nonlinearity.