  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.
