• 文献标题:   Electron confinement in single layer graphene quantum dots: Semiclassical approach
  • 文献类型:   Article, Proceedings Paper
  • 作  者:   GIAVARAS G, MAKSYM PA, ROY M
  • 作者关键词:   graphene, quantum dot
  • 出版物名称:   PHYSICA ELOWDIMENSIONAL SYSTEMS NANOSTRUCTURES
  • ISSN:   1386-9477 EI 1873-1759
  • 通讯作者地址:   Univ Leicester
  • 被引频次:   4
  • DOI:   10.1016/j.physe.2009.11.013
  • 出版年:   2010

▎ 摘  要

A semiclassical approach is used to investigate the physics of electrons confined in a graphene quantum dot in a magnetic field. The states near the gap in the spectrum are localised between the turning points for classical massless particles. This fact is used to obtain approximate energies and states in the case of non-zero, positive angular momentum. The agreement with exact numerical energies is about 1.5% or better and the nodal structure of the exact states is predicted correctly. The exact and approximate quantum states also agree well. The approach is most accurate in the regime of large angular momentum, large magnetic field and small radial quantum number. (C) 2009 Elsevier B.V. All rights reserved.