Electronic properties of a graphene antidot in magnetic fields

Details Electronic properties of a graphene antidot in magnetic fields Electronic properties of a graphene antidot in magnetic fields

2010-06-16

arxiv.org/abs/1006.3136v2

Journal of Physics: Condensed Matter 22 375302 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1088/0953-8984/22/37/375302

We report on several unusual properties of a graphene antidot created by a piecewise constant potential in a magnetic field. We find that the total probability of finding the electron in the barrier can be nearly one while it is almost zero outside the barrier. In addition, for each electron state of a graphene antidot there is a dot state with exactly the same wavefunction but with a different energy. This symmetry is a consequence of Klein tunneling of Dirac electrons. Moreover, in zigzag nanoribbons we find strong coupling between some antidot states and zigzag edge states. Experimental tests of these effects are proposed.

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