Optical properties of dirac electrons in a parabolic well

S. C. Kim, J. W. Lee, S. R. Eric Yang

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


A single electron transitor may be fabricated using qunatum dots. A good model for the confinement potential of a quantum dot is a parabolic well. Here we consider such a parabolic dot made of graphene. Recently, we found counter intuitively that resonant quasi-boundstates of both positive and negative energies exist in the energy spectrum. The presence of resonant quasi-boundstates of negative energies is a unique property of massless Dirac fermions. As magnetic field B gets smaller the energy width of these states become broader and for sufficiently weak value of B resonant quasi-bound states disappear into a quasi-continuum. In the limit of small B resonant and nonresonant states transform into discrete anomalous states with a narrow probability density peak inside the well and another broad peak under the potential barrier. In this paper we compute the optical strength between resonant quasi-bound states as a function of B, and investigate how the signature of resonant quasi-bound states of Dirac electrons may appear in optical measurements.

Original languageEnglish
Pages (from-to)6345-6348
Number of pages4
JournalJournal of Nanoscience and Nanotechnology
Issue number9
Publication statusPublished - 2013 Sept


  • Dirac electron
  • Graphene
  • Parabolic well

ASJC Scopus subject areas

  • Bioengineering
  • Chemistry(all)
  • Biomedical Engineering
  • Materials Science(all)
  • Condensed Matter Physics


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