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Magnetic field induced confinement–deconfinement transition in graphene quantum dots

By G. Giavaras, P.A. Maksym and Mervyn Roy

Abstract

Massless Dirac particles cannot be confined by an electrostatic potential. This is a problem for making graphene quantum dots but confinement can be achieved with a magnetic field and here general conditions for confined and deconfined states are derived. There is a class of potentials for which the character of the state can be controlled at will. Then a confinement–deconfinement transition occurs which allows the Klein paradox to be probed experimentally in graphene dots. A dot design suitable for this experiment is presented.Pre-prin

Publisher: Institute of Physics (IOP)
Year: 2009
DOI identifier: 10.1088/0953-8984
OAI identifier: oai:lra.le.ac.uk:2381/7424
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  1. Centred differences require different numbers of grid points for χ1 and χ2 and lead to unphysical solutions which are not smooth in the limit of zero step size.
  2. In many cases the anti-crosssings disappear at a sufficiently high field.
  3. The alternative choice, χ1(R) = 0 is incompatible with the discretization used in the present work.
  4. The physics of nanocrystals is expected to be different.
  5. This work was supported by the UK Engineering and Physical Sciences Research Council.
  6. (2007). Vadim Apalkov and Tapash Chakraborty, doi

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