Effect of topology on the critical charge in graphene

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.83.115412· OSTI ID:21538190

Chakraborty, Baishali; Gupta, Kumar S ^[1]; Sen, Siddhartha ^[2]

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1. Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta 700064 (India)
2. CRANN School of Physics, Trinity College, Dublin 2 (Ireland)

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 toward zero for a suitable angle of the conical sample. We discuss the nature of the scattering phase shifts, quasibound state energies, and local density of states for a gapless graphene cone and determine the dependence of these physical quantities on the sample topology.

• OSTI ID: 21538190
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 83, Issue 11; Other Information: DOI: 10.1103/PhysRevB.83.115412; (c) 2011 American Institute of Physics; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CARBON
DENSITY
EXCITATION
HONEYCOMB STRUCTURES
LAYERS
PHASE SHIFT
QUASIBOUND STATE
SCATTERING
TOPOLOGY
ELEMENTS
ENERGY-LEVEL TRANSITIONS
MATHEMATICS
MECHANICAL STRUCTURES
NONMETALS
PHYSICAL PROPERTIES