• 文献标题:   Zero energy states for a class of two-dimensional potentials in graphene
  • 文献类型:   Article
  • 作  者:   IOFFE MV, NISHNIANIDZE DN
  • 作者关键词:   twodimensional dirac equation, schrodinger equation, separation of variable, graphene
  • 出版物名称:   MODERN PHYSICS LETTERS B
  • ISSN:   0217-9849 EI 1793-6640
  • 通讯作者地址:   St Petersburg State Univ
  • 被引频次:   2
  • DOI:   10.1142/S0217984918503293
  • 出版年:   2018

▎ 摘  要

The excitations in graphene and some other materials are described by two-dimensional massless Dirac equation with applied external potential of some kind. Solutions of this zero energy equation are built analytically for a wide class of scalar potentials. In contrast to most publications on analytical solutions of massless two-dimensional Dirac equation, our potentials really depend on both spatial coordinates in some bounded domain. Several examples of such construction are given explicitly.