• 文献标题:   Levy Flights and Hydrodynamic Superdiffusion on the Dirac Cone of Graphene
  • 文献类型:   Article
  • 作  者:   KISELEV EI, SCHMALIAN J
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW LETTERS
  • ISSN:   0031-9007 EI 1079-7114
  • 通讯作者地址:   Karlsruher Inst Technol
  • 被引频次:   2
  • DOI:   10.1103/PhysRevLett.123.195302
  • 出版年:   2019

▎ 摘  要

We show that the hydrodynamic collision processes of graphene electrons at the neutrality point can be described in terms of a Fokker-Planck equation with a fractional derivative, corresponding to a Levy flight in momentum space. Thus, electron-electron collisions give rise to frequent small-angle scattering processes that are interrupted by rare large-angle events. The latter give rise to superdiffusive dynamics of collective excitations. We argue that such superdiffusive dynamics is of more general importance to the out-of-equilibrium dynamics of quantum-critical systems.