Disorder-driven transition to tubular phase in anisotropic two-dimensional materials
Abstract
We develop a theory of anomalous elasticity in disordered two-dimensional flexible materials with orthorhombic crystal symmetry. Similar to the clean case, we predict the existence of infinitely many flat phases with anisotropic bending rigidity and Young's modulus showing power-law scaling with momentum controlled by a single universal exponent the very same as in the clean isotropic case. With an increase of temperature or disorder, these flat phases undergo a crumpling transition. Remarkably, in contrast to the isotropic materials where crumpling occurs in all spatial directions simultaneously, the anisotropic materials crumple into a tubular phase. In distinction to the clean case in which the crumpling transition happens at unphysically high temperatures, a disorder-induced tubular crumpled phase can exist even at room-temperature conditions. Our results are applied to anisotropic atomic single layers doped by adatoms or disordered by heavy ions bombarding.
- Publication:
-
Physical Review B
- Pub Date:
- December 2022
- DOI:
- 10.1103/PhysRevB.106.235415
- arXiv:
- arXiv:2209.04790
- Bibcode:
- 2022PhRvB.106w5415P
- Keywords:
-
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Soft Condensed Matter;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 18 LaTex pages, 6 figures