Electronic structure in gapped graphene with a Coulomb potential

Wei Zhu, Zhengfei Wang, Qinwei Shi, K. Y. Szeto, Jie Chen, and J. G. Hou

Phys. Rev. B 79, 155430 – Published 17 April 2009

Abstract

In this paper, we numerically study bound electron states induced by long-range Coulomb impurities in gapped graphene and quasibound states in the supercritical region based on the lattice model. We present a detailed comparison between our numerical calculations and the prediction of quantum electrodynamics $2 + 1 (QED)$ continuum model. Furthermore, the supercritical charge has been determined by both the lattice model and the continuum model. The numerical results show that the behavior of quasibound state is consistent with the prediction using Fano’s formalism.

Received 10 December 2008

DOI:https://doi.org/10.1103/PhysRevB.79.155430

Authors & Affiliations

Wei Zhu¹, Zhengfei Wang¹, Qinwei Shi^1,2,*, K. Y. Szeto², Jie Chen^3,4, and J. G. Hou¹

¹Hefei National Laboratory for Physical Sciences at Microscale, University of Science and Technology of China, Hefei 230026, China
²Department of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
³Electrical and Computer Engineering, University of Alberta, Alberta, Canada T6G 2V4
⁴National Research Council/National Institute of Nanotechnology, Alberta, Canada T6G 2M9

^*phsqw@ustc.edu.cn

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Vol. 79, Iss. 15 — 15 April 2009

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