Elastic chiral Landau level and snake states in origami metamaterials

TL;DR

This paper introduces a method to generate synthetic gauge fields in origami metamaterials, enabling the creation of Landau levels and chiral snake states for advanced wave manipulation applications.

Contribution

It presents a novel approach to induce pseudomagnetic fields in origami metamaterials through geometrical modulation, leading to new topological elastic phenomena.

Findings

Quantization of Landau levels achieved in origami structures

Existence and robustness of chiral zeroth Landau level demonstrated

Realization of elastic snake states via Landau level coupling

Abstract

In this study, we present a method for generating a synthetic gauge field in origami metamaterials with continuously varying geometrical parameters. By modulating the mass term in the Dirac equation linearly, we create a synthetic gauge field in the vertical direction, which allows for the quantization of Landau levels through the generated pseudomagnetic field. Furthermore, we demonstrate the existence and robustness of the chiral zeroth Landau level. The unique elastic snake state is realized using the coupling between the zeroth and the first Landau levels. Our results, supported by theory and simulations, establish a feasible framework for generating pseudomagnetic fields in origami metamaterials with potential applications in waveguides and cloaking.