Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-10-28
Phys.Rev.B83:115412,2011
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Latex file, 7 pages, Minor changes in the text
Scientific paper
10.1103/PhysRevB.83.115412
We show that the critical charge for the Dirac excitations in gapless graphene depends on the spatial topology of the sample. In particular, for graphene cones, the effective value of the critical charge can tend towards zero for a suitable angle of the conical sample. We discuss the nature of the scattering phase shifts, quasi-bound state energies and local density of states for a gapless graphene cone and determine the dependence of these physical quantities on the sample topology.
Chakraborty Baishali
Gupta Kumar S.
Sen Siddhartha
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