• 文献标题:   Quantum Transport via Evanescent Waves in Undoped Graphene
  • 文献类型:   Article
  • 作  者:   KATSNELSON MI
  • 作者关键词:   graphene, dirac equation, pseudodiffusive transport, minimal conductivity, aharonovbohm effect, conformal mapping
  • 出版物名称:   JOURNAL OF COMPUTATIONAL THEORETICAL NANOSCIENCE
  • ISSN:   1546-1955 EI 1546-1963
  • 通讯作者地址:   Radboud Univ Nijmegen
  • 被引频次:   11
  • DOI:   10.1166/jctn.2011.1770
  • 出版年:   2011

▎ 摘  要

Charge carriers in graphene are chiral quasiparticles ("massless Dirac fermions"). Graphene provides therefore an amazing opportunity to study subtle quantum relativistic effects in condensed matter experiment. Here I review a theory of one of these unusual features of graphene, a "pseudodiffusive" transport in the limit of zero charge carrier concentration, which is related to existence of zero-modes of the Dirac operator and to the Zitterbewegung of particles. A conformal mapping technique is a powerful mathematical tool to study these phenomena, as demonstrated here, using the Aharonov-Bohm effect in graphene rings with Corbino geometry as an example.