Emergent Continuous Symmetry in Anisotropic Flexible TwoDimensional Materials
Abstract
We develop the theory of anomalous elasticity in twodimensional flexible materials with orthorhombic crystal symmetry. Remarkably, in the universal region, where characteristic length scales are larger than the rather small Ginzburg scale ∼10 nm , these materials possess an infinite set of flat phases. These phases corresponds to a stable line of fixed points and are connected by an emergent continuous symmetry. This symmetry 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 phosphorene.
 Publication:

Physical Review Letters
 Pub Date:
 March 2022
 DOI:
 10.1103/PhysRevLett.128.096101
 arXiv:
 arXiv:2108.10325
 Bibcode:
 2022PhRvL.128i6101B
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics;
 Condensed Matter  Soft Condensed Matter;
 Condensed Matter  Statistical Mechanics
 EPrint:
 9 pages, 3 figures