• 文献标题:   Confinement of Dirac electrons in graphene magnetic quantum dots
  • 文献类型:   Article
  • 作  者:   KURU S, NEGRO J, SOURROUILLE L
  • 作者关键词:   graphene, supersymmetric quantum mechanic, magnetic quantum dot, zero mode
  • 出版物名称:   JOURNAL OF PHYSICSCONDENSED MATTER
  • ISSN:   0953-8984 EI 1361-648X
  • 通讯作者地址:   Univ Valladolid
  • 被引频次:   0
  • DOI:   10.1088/1361-648X/aad656
  • 出版年:   2018

▎ 摘  要

We characterize the confinement of massless Dirac electrons under axially symmetric magnetic fields in graphene, including zero energy modes and higher energy levels. In particular, we analyze in detail the Aharonov-Casher theorem, on the existence of zero modes produced by magnetic fields with finite flux in two dimensions. We apply techniques of supersymmetric quantum mechanics to determine the confined states by means of the quantum number j associated to isospin and angular momentum. We focus on magnetic fields, regular at the origin, whose asymptotic behaviour is B(r) similar to r(alpha), with a a real number. A confinement of infinite zero-energy modes and excited states is possible as long as alpha >= -1. When -2