%0 Journal Article %1 WOS:000297295400011 %A Grujic, M %A Zarenia, M %A Chaves, A %A Tadic, M %A Farias, G A %A Peeters, F M %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2011 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW B %K imported %N 20 %R 10.1103/PhysRevB.84.205441 %T Electronic and optical properties of a circular graphene quantum dot in a magnetic field: Influence of the boundary conditions %V 84 %X 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.

@article{WOS:000297295400011, abstract = {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.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Grujic, M and Zarenia, M and Chaves, A and Tadic, M and Farias, G A and Peeters, F M}, biburl = {https://www.bibsonomy.org/bibtex/255fb56e4f4392f0b86cce7c38d71b190/ppgfis_ufc_br}, doi = {10.1103/PhysRevB.84.205441}, interhash = {a9e0fb414e749afe405b2665148b0d28}, intrahash = {55fb56e4f4392f0b86cce7c38d71b190}, issn = {1098-0121}, journal = {PHYSICAL REVIEW B}, keywords = {imported}, number = 20, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Electronic and optical properties of a circular graphene quantum dot in a magnetic field: Influence of the boundary conditions}, tppubtype = {article}, volume = 84, year = 2011 }