• 文献标题:   Simplified model for the energy levels of quantum rings in single layer and bilayer graphene
  • 文献类型:   Article
  • 作  者:   ZARENIA M, PEREIRA JM, CHAVES A, PEETERS FM, FARIAS GA
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Univ Antwerp
  • 被引频次:   65
  • DOI:   10.1103/PhysRevB.81.045431
  • 出版年:   2010

▎ 摘  要

Within a minimal model, we present analytical expressions for the eigenstates and eigenvalues of carriers confined in quantum rings in monolayer and bilayer graphene. The calculations were performed in the context of the continuum model by solving the Dirac equation for a zero width ring geometry, i.e., by freezing out the carrier radial motion. We include the effect of an external magnetic field and show the appearance of Aharonov-Bohm oscillations and of a nonzero gap in the spectrum. Our minimal model gives insight on the energy spectrum of graphene-based quantum rings and models different aspects of finite width rings.