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. 2017 Jan 23;8:14201. doi: 10.1038/ncomms14201

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Copyright © 2017, The Author(s)

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(a) Uniform soft twisting of a deformed square lattice constructed of four struts of different lengths (four different colours), with each primitive unit cell contains two hinges. The spatially varying floppy modes in the deformed square lattice when are bulk instead of floppy edge phonons. Unlike the deformed kagome lattice of Fig. 1, the shear dominant (orange) region does not contain topologically polarized lattices. (b) An example of the phonon frequency contour plot (as a function of momenta k_x, k_y), where the zero frequency phonon modes are shown in red, the two green dashed lines show the two zero speed of sound directions (1, λ_±) given by equation (3), and the yellow dots show reciprocal lattice sites.

Inline graphic — (a) Uniform soft twisting of a deformed square lattice constructed of four struts of different lengths (four different colours), with each primitive unit cell contains two hinges. The spatially varying floppy modes in the deformed square lattice when are bulk instead of floppy edge phonons. Unlike the deformed kagome lattice of Fig. 1, the shear dominant (orange) region does not contain topologically polarized lattices. (b) An example of the phonon frequency contour plot (as a function of momenta k_x, k_y), where the zero frequency phonon modes are shown in red, the two green dashed lines show the two zero speed of sound directions (1, λ_±) given by equation (3), and the yellow dots show reciprocal lattice sites.