2010/10/31 by Baishali Chakraborty, Kumar S. Gupta, Siddhartha Sen · 17 citations
Materials Science · Mathematics · Physics and Astronomy · #Charge (physics) #Condensed matter physics #Conical surface #Dirac (video compression format) #Gapless playback #Graphene #Graphene research and applications #Materials science #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Scattering #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevb.83.115412
published in Physical Review B 83(11) (American Physical Society) · Latex file, 7 pages, Minor changes in the text
arxiv created 2010/11/18 · openalex publication_date 2011/03/10 · arxiv updated 2011/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.