Electronic properties of a graphene antidot in magnetic fields

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 o...

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Bibliographic Details
Published in:Journal of physics. Condensed matter 2010-09, Vol.22 (37), p.375302-375302
Main Authors: Park, P S, Kim, S C, Eric Yang, S-R
Format: Article
Language:English
Subjects:
Antidots
Barriers
Carbon - chemistry
Condensed matter
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electromagnetic Fields
Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures
Electronic structure of nanoscale materials : clusters, nanoparticles, nanotubes, and nanocrystals
Electronics - instrumentation
Electrons
Exact sciences and technology
Graphene
Graphite - chemistry
Magnetic fields
Magnetics
Models, Chemical
Nanocomposites
Nanomaterials
Nanostructure
Nanotechnology - methods
Nanotubes, Carbon - chemistry
Physics
Quantum Theory
Surface Properties
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Summary: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.
ISSN:0953-8984
1361-648X
DOI:10.1088/0953-8984/22/37/375302