Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-05-04
Phys. Rev. B 84, 155437 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
8 pages, 3 figures, references added, typos corrected, discussion section expanded
Scientific paper
10.1103/PhysRevB.84.155437
We present exact analytical zero-energy solutions for a class of smooth decaying potentials, showing that the full confinement of charge carriers in electrostatic potentials in graphene quantum dots and rings is indeed possible without recourse to magnetic fields. These exact solutions allow us to draw conclusions on the general requirements for the potential to support fully confined states, including a critical value of the potential strength and spatial extent.
Downing C. A.
Portnoi Mikhail E.
Stone Douglas A.
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