• 文献标题:   Quasiclassical Theory of the Josephson Effect in Ballistic Graphene Junctions
  • 文献类型:   Article
  • 作  者:   TAKANE Y, IMURA KI
  • 作者关键词:   josephson current, multilayer graphene, quasiclassical green s function
  • 出版物名称:   JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
  • ISSN:   0031-9015
  • 通讯作者地址:   Hiroshima Univ
  • 被引频次:   6
  • DOI:   10.1143/JPSJ.81.094707
  • 出版年:   2012

▎ 摘  要

The stationary Josephson effect in a system of ballistic graphene is studied in the framework of quasiclassical Green's function theory. Reflecting the ultimate two-dimensionality of graphene, a Josephson junction involving a graphene sheet embodies what we call a planar Josephson junction, in which superconducting electrodes partially cover the two-dimensional graphene layer, achieving a planar contact with it. For capturing this feature we employ a model of tunneling Hamiltonian that also takes account of the effects of inhomogeneous carrier density. Within the effective mass approximation we derive a general formula for the Josephson current, revealing characteristic features of the superconducting proximity effect in the planar Josephson junction. The same type of analysis has been equally applied to mono-, bi-, and arbitrary N-layer cases.