Black rubber and the non-linear elastic response of scale invariant solids

Matteo Baggioli, Víctor Cáncer Castillo, Oriol Pujolàs
2020 Journal of High Energy Physics  
We discuss the nonlinear elastic response in scale invariant solids. Following previous work, we split the analysis into two basic options: according to whether scale invariance (SI) is a manifest or a spontaneously broken symmetry.In the latter case, one can employ effective field theory methods, whereas in the former we use holographic methods. We focus on a simple class of holographic models that exhibit elastic behaviour, and obtain their nonlinear stress-strain curves as well as an
more » ... of the elasticity bounds -the maximum possible deformation in the elastic (reversible) regime. The bounds differ substantially in the manifest or spontaneously broken SI cases, even when the same stressstrain curve is assumed in both cases. Additionally, the hyper-elastic subset of models (that allow for large deformations) is found to have stress-strain curves akin to natural rubber. The holographic instances in this category, which we dub black rubber, display richer stressstrain curves -with two different power-law regimes at different magnitudes of the strain.
doi:10.1007/jhep09(2020)013 fatcat:ucxwqeiwzvcvrgsrgmt4jxw65q