• 文献标题:   Modelling electron-phonon interactions in graphene with curved space hydrodynamics
  • 文献类型:   Article
  • 作  者:   GIORDANELLI I, MENDOZA M, HERRMANN HJ
  • 作者关键词:  
  • 出版物名称:   SCIENTIFIC REPORTS
  • ISSN:   2045-2322
  • 通讯作者地址:   Swiss Fed Inst Technol
  • 被引频次:   2
  • DOI:   10.1038/s41598-018-30354-4
  • 出版年:   2018

▎ 摘  要

We introduce a different perspective describing electron-phonon interactions in graphene based on curved space hydrodynamics. Interactions of phonons with charge carriers increase the electrical resistivity of the material. Our approach captures the lattice vibrations as curvature changes in the space through which electrons move following hydrodynamic equations. In this picture, inertial corrections to the electronic flow arise naturally effectively producing electron-phonon interactions. The strength of the interaction is controlled by a coupling constant, which is temperature independent. We apply this model to graphene and recover satisfactorily the linear scaling law for the resistivity that is expected at high temperatures. Our findings open up a new perspective of treating electron-phonon interactions in graphene, and also in other materials where electrons can be described by the Fermi liquid theory.