Author:
Zeng Kangshi,Xu Zhen,Guo Xinpei,Xiong Tianbai
Abstract
Abstract
The discovery of graphene strongly contradicts Landau’s viewpoint on the existence of two-dimensional (2D) crystals. In this paper, some clarification on this contradiction by simple analyses are made. Besides, the analytical expressions of 2D crystals’ critical size are derived. The result shows that the maximal size of 2D crystals is governed by out-of-plane vibration of atoms in any temperature. This research is valuable in understanding the stability and existence of 2-D crystals.
Reference18 articles.
1. Quelques propriétés typiques des corpses solides;Peierls;Ann. I. H. Poincare,1935
2. Zur Theorie der phasenumwandlungen II;Landau;Phys. Z. Sowjetunion,1937
3. Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic Heisenberg model;Mermin;Phys. Rev. Let.,1966
4. Crystalline order in two dimensions;Mermin;Phys. Rev.,1968
5. Problems of a Dynamical Theory in Statistical Physics;Bogoliubov,1962