• 文献标题:   Dynamical diffusion and renormalization group equation for the Fermi velocity in doped graphene
  • 文献类型:   Article
  • 作  者:   ARDENGHI JS, BECHTHOLD P, JASEN P, GONZALEZ E, JUAN A
  • 作者关键词:   graphene, diffusion, sensor ga, fermi velocity
  • 出版物名称:   PHYSICA BCONDENSED MATTER
  • ISSN:   0921-4526 EI 1873-2135
  • 通讯作者地址:   UNS CONICET
  • 被引频次:   3
  • DOI:   10.1016/j.physb.2014.07.013
  • 出版年:   2014

▎ 摘  要

The aim of this work is to study the electron transport in graphene with impurities by introducing a generalization of linear response theory for linear dispersion relations and spinor wave functions. Current response and density response functions are derived and computed in the Boltzmann limit showing that in the former case a minimum conductivity appears in the no-disorder limit. In turn, from the generalization of both functions, an exact relation can be obtained that relates both. Combining this result with the relation given by the continuity equation it is possible to obtain general functional behavior of the diffusion pole. Finally, a dynamical diffusion is computed in the quasistatic limit using the definition of relaxation function. A lower cutoff must be introduced to regularize infrared divergences which allow us to obtain a full renormalization group equation for the Fermi velocity, which is solved up to order O(h(2)). (C) 2014 Elsevier B.V. All rights reserved.