Trapping electrons in a circular graphene quantum dot with Gaussian potential
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DOI:
https://doi.org/10.15625/0868-3166/28/1/11080Keywords:
quasi-bound state, localization, trapping timeAbstract
We study the dependence of trapping time of an electron in a circular graphene quantum dot
depends on the electron's angular momentum and on the parameters of the
external Gaussian potential used to induce the dot. The trapping times are
calculated through a numerical determination of the quasi-bound states of
electron from the two-dimensional Dirac-Weyl equation. It is shown that on
increasing the angular momentum, not only does the trapping time decreases but also
the trend of how the trapping time depends on the effective radius of the dot
changes. In particular, as the dot radius increases, the trapping time
increases for m<3 but decreases for m > 3. The trapping time however always
decreases upon increasing the potential height. It is also found that the wave
functions corresponding to the states of larger trapping times or higher m
are more localized in space.
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Accepted 14-03-2018
Published 17-07-2018
