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Isostaticity, auxetic response, surface modes, and conformal invariance in twisted kagome lattices
Kai Sun, Anton Souslov, Xiaoming Mao +1
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 stabili…
Effective Medium Theory of Filamentous Triangular Lattice
Xiaoming Mao, Olaf Stenull, T. C. Lubensky
We present an effective medium theory that includes bending as well as stretching forces, and we use it to calculate mechanical response of a diluted filamentous triangular lattice…
Simple lattice model for biological gels
Olaf Stenull, T. C. Lubensky
We construct a three-dimensional lattice model for biological gels in which straight lines of bonds correspond to filamentous semi-flexible polymers and lattice sites, which are ex…
Nonlinear smectic elasticity of a helical state in cholesterics and helimagnets
Leo Radzihovsky, T. C. Lubensky
General symmetry arguments, dating back to de Gennes dictate that at scales longer than the pitch, the low-energy elasticity of a chiral nematic liquid crystal (cholesteric) and of…