SNU Transformative ARchitecture Lab

Publication

Journal

Emergence of elastic chiral Landau level and snake states in origami metamaterials
Authors

S. Li, P. Kevrekidis, J. Yang* 

Journal
Physical Review B
Vol
109
Page
184109
Year
2024
In this paper, we present a method for generating a synthetic gauge field in the vertical direction by linearly modulating the mass term in a Dirac equation model. This allows for the quantization of Landau levels through the generated pseudomagnetic field, with the chiral zeroth Landau level being topologically protected. An elastic snake state is realized using the coupling between the zeroth and the first Landau levels. For demonstration, our theoretical predictions are realized numerically in an elastic medium of truss structures arranged in a honeycomb lattice. Our results, supported by theory and simulations, establish a framework for generating pseudomagnetic fields in elastic systems with potential applications in waveguides and cloaking.