Emergent continuous symmetry in anisotropic flexible two-dimensional materials

Abstract

We develop the theory of anomalous elasticity in two-dimensional flexible materials with orthorhombic crystal symmetry. Remarkably, in the universal region, where characteristic length scales are larger than the rather small Ginzburg scale $\sim 10\mathrm{nm}$, these materials possess an infinite set of flat phases which are connected by emergent continuous symmetry. This hidden symmetry leads to the formation of a stable line of fixed points corresponding to different phases. The same symmetry also enforces power law scaling with momentum of the anisotropic bending rigidity and Young's modulus, controlled by a single universal exponent -- the very same along the whole line of fixed points. These anisotropic flat phases are uniquely labeled by the ratio of absolute Poisson's ratios. We apply our theory to monolayer black phosphorus (phosphorene).

arXiv comment9 pages, 3 figures

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Cited by in corpus (3)

• Unconventional mechanical and thermal behaviors of MOF CALF-20
• Anisotropic effects in two-dimensional materials
• Disorder-driven transition to tubular phase in anisotropic two-dimensional materials