期刊
PHYSICAL REVIEW B
卷 84, 期 20, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.84.205441
关键词
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资金
- ESF
- Ministry of Education and Science of Serbia
- Belgian Science Policy (IAP)
- Flanders and Brazil
- Flemish Science Foundation (FWO-Vl)
- Brazilian Research Council (CNPq)
An analytical approach, using the Dirac-Weyl equation, is implemented to obtain the energy spectrum and optical absorption of a circular graphene quantum dot in the presence of an external magnetic field. Results are obtained for the infinite-mass and zigzag boundary conditions. We found that the energy spectrum of a dot with the zigzag boundary condition exhibits a zero-energy band regardless of the value of the magnetic field, while for the infinite-mass boundary condition, the zero-energy states appear only for high magnetic fields. The analytical results are compared to those obtained from the tight-binding model: (i) we show the validity range of the continuum model and (ii) we find that the continuum model with the infinite-mass boundary condition describes rather well its tight-binding analog, which can be partially attributed to the blurring of the mixed edges by the staggered potential.
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