Surface phonons, elastic response, and conformal invariance in twisted kagome lattices.

@article{Sun2012SurfacePE,
  title={Surface phonons, elastic response, and conformal invariance in twisted kagome lattices.},
  author={Kai Sun and Anton Souslov and X. M. Mao and Tom C. Lubensky},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={2012},
  volume={109 31},
  pages={12369-74}
}
Model lattices consisting of balls connected by central-force springs provide much of our understanding of mechanical response and phonon structure of real materials. Their stability depends critically on their coordination number z. d-dimensional lattices with z = 2d are at the threshold of mechanical stability and are isostatic. Lattices with z < 2d exhibit zero-frequency "floppy" modes that provide avenues for lattice collapse. The physics of systems as diverse as architectural structures… CONTINUE READING
Highly Cited
This paper has 44 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

Similar Papers

Loading similar papers…