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Power-law singularity in the local density of states due to the point defect in graphene

Wen-Min Huang, Jian-Ming Tang, and Hsiu-Hau Lin
Phys. Rev. B 80, 121404(R) – Published 17 September 2009

Abstract

Defects in graphene give rise to zero modes that are often related to the sharp peak in the local density of states near the defect site. Here we solved all zero modes induced by a single defect in the finite-size graphene and show that their contributions to the local density of states vanish in the thermodynamic limit. Instead, lots of resonant states emerge at low energies and eventually lead to a power-law singularity in the local density of states. Our findings show that the impurity problem in graphene should be treated as a collective phenomenon rather than a single impurity state.

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  • Received 25 July 2009

DOI:https://doi.org/10.1103/PhysRevB.80.121404

©2009 American Physical Society

Authors & Affiliations

Wen-Min Huang1, Jian-Ming Tang2, and Hsiu-Hau Lin1,3

  • 1Department of Physics, National Tsing-Hua University, Hsinchu 300, Taiwan
  • 2Department of Physics, University of New Hampshire, Durham, New Hampshire 03824-3520, USA
  • 3Physics Division, National Center for Theoretical Sciences, Hsinchu 300, Taiwan

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Issue

Vol. 80, Iss. 12 — 15 September 2009

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