• 文献标题:   Dirac electron in graphene under supersymmetry generated magnetic fields
  • 文献类型:   Article
  • 作  者:   MIDYA B, FERNANDEZ DJ
  • 作者关键词:   diracweyl equation, supersymmetric quantum mechanic, dirac electron, graphene
  • 出版物名称:   JOURNAL OF PHYSICS AMATHEMATICAL THEORETICAL
  • ISSN:   1751-8113 EI 1751-8121
  • 通讯作者地址:   Univ Libre Bruxelles
  • 被引频次:   16
  • DOI:   10.1088/1751-8113/47/28/285302
  • 出版年:   2014

▎ 摘  要

We use supersymmetry transformations to obtain new one parameter families of inhomogeneous magnetic fields B = beta(chi, lambda)ez for which the massless Dirac electron possesses exact solutions. The inhomogeneity appearing in beta(x, lambda) can be controlled by the parameter.. The obtained magnetic fields are interpreted as deformed variants of some physically attainable well known magnetic fields. A particular example, that of a constant magnetic field being deformed, is considered to show that equidistant Landau levels exist even in the presence of an infinite number of specially designed inhomogeneous magnetic fields.