• 文献标题:   Energy spectrum and density of states for a graphene quantum dot in a magnetic field
  • 文献类型:   Article
  • 作  者:   HORING NJM, LIU SY
  • 作者关键词:  
  • 出版物名称:   JOURNAL OF PHYSICSCONDENSED MATTER
  • ISSN:   0953-8984
  • 通讯作者地址:   Stevens Inst Technol
  • 被引频次:   3
  • DOI:   10.1088/0953-8984/22/2/025502
  • 出版年:   2010

▎ 摘  要

In this paper, we determine the spectrum and density of states of a graphene quantum dot in a normal quantizing magnetic field. To accomplish this, we employ the retarded Green function for a magnetized, infinite-sheet graphene layer to describe the dynamics of a tightly confined graphene quantum dot subject to Landau quantization. Considering a delta((2))(r) potential well that supports just one subband state in the well in the absence of a magnetic field, the effect of Landau quantization is to 'splinter' this single energy level into a proliferation of many Landau-quantized states within the well. Treating the graphene sheet and dot as a closed system subject to a fully Hermitian Hamiltonian (including boundary conditions), there is no indication of decay of the Landau-quantized graphene dot states into the quantized states of the host graphene sheet for 'tight' confinement by the delta((2))(r) potential well, notwithstanding extension of the dot Green function (and eigenfunctions) outside the delta((2))(r) potential well.