• 文献标题:   POLYNOMIAL SOLUTIONS OF HEUN EQUATION DESCRIBING FERMIONS IN GRAPHENE
  • 文献类型:   Article
  • 作  者:   DARIESCU MA, DARIESCU C
  • 作者关键词:   relativistic dirac equation, heun function, quantum hall effect, graphene
  • 出版物名称:   INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • ISSN:   0217-9792 EI 1793-6578
  • 通讯作者地址:   Alexandru Ioan Cuza Univ
  • 被引频次:   2
  • DOI:   10.1142/S0217979213501907
  • 出版年:   2013

▎ 摘  要

The wavefunctions describing the massless fermions evolving in a static magnetic field orthogonal to a radially planar electric field are obtained, as solutions to Dirac equation. In the case of the magnetic field alone, the corresponding HeunB confluent functions turn into the usual Hermite polynomials and the energy spectrum has the familiar form which has been reported for graphene samples. Within a more involved analysis with both electric and magnetic orthogonal static fields, we compute the conserved current density component and the quantized off-diagonal conductivity.