• 文献标题:   ELECTRONIC TRANSPORT IN GRAPHENE: QUANTUM EFFECTS AND ROLE OF LOCAL DEFECTS
  • 文献类型:   Article, Proceedings Paper
  • 作  者:   DE LAISSARDIERE GT, MAYOU D
  • 作者关键词:   graphene, quantum transport, numerical calculation
  • 出版物名称:   MODERN PHYSICS LETTERS B
  • ISSN:   0217-9849 EI 1793-6640
  • 通讯作者地址:   CNRS
  • 被引频次:   17
  • DOI:   10.1142/S0217984911026747
  • 出版年:   2011

▎ 摘  要

In this paper, we present generic properties of quantum transport in mono-layer graphene. In the scheme of the Kubo-Geenwood formula, we compute the square spreading of wave packets of a given energy with is directly related to conductivity. As a to result, we compute analytically the time-dependent diffusion for pure graphene. In addition to the semi classical term, a second term exists that is due to matrix elements of the velocity operator between electron and hole bands. This term is related to velocity fluctuations, i.e. Zitterbewegung effect. Secondly, we study numerically the quantum diffusion in graphene with simple Vacancies and pair of neighboring vacancies (divacancies), that simulate schematically oxidation, hydrogenation and other functionalizations of graphene. We analyze in particular the time-dependence of the diffusion and its dependence on energy in relation with the electronic structure. We compute also the mean free path and the semi-classical value of the conductivity as a. function of energy in the limit of small concentration of defects.