• 文献标题:   Third-order elastic moduli of single-layer graphene
  • 文献类型:   Article
  • 作  者:   DAVYDOV SY
  • 作者关键词:  
  • 出版物名称:   PHYSICS OF THE SOLID STATE
  • ISSN:   1063-7834
  • 通讯作者地址:   Russian Acad Sci
  • 被引频次:   19
  • DOI:   10.1134/S1063783411030073
  • 出版年:   2011

▎ 摘  要

In the framework of the Keating model with allowance made for the anharmonic constant of the central interaction between the nearest neighbors mu, analytical expressions have been obtained for three third-order independent elastic constants c (ijk) (mu, zeta) of single-layer graphene, where zeta = (2 alpha - beta)/(4 alpha + beta) is the Kleinman internal displacement parameter and alpha and beta are the harmonic constants of the central interaction between the nearest neighbors and the noncentral interaction between the next-nearest neighbors, respectively. The dependences of the second-order elastic constants on the pressure p have been determined. It has been shown that the moduli c (11) and c (22) differently respond to the pressure. Therefore, graphene is isotropic in the harmonic approximation, whereas the inclusion of anharmonicity leads to the appearance of the anisotropy.