中国物理B ›› 2019, Vol. 28 ›› Issue (1): 17202-017202.doi: 10.1088/1674-1056/28/1/017202

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

Semi-analytic study on the conductance of a lengthy armchair honeycomb nanoribbon including vacancies, defects, or impurities

Fateme Nadri, Mohammad Mardaani, Hassan Rabani   

  1. 1 Department of Physics, Faculty of Science, Shahrekord University, P. O. Box 115 Shahrekord, Iran;
    2 Nanotechnology Research Center, Shahrekord University, 8818634141 Shahrekord, Iran
  • 收稿日期:2018-09-09 修回日期:2018-11-06 出版日期:2019-01-05 发布日期:2019-01-05
  • 通讯作者: Mohammad Mardaani E-mail:mohammad-m@sci.sku.ac.ir

Semi-analytic study on the conductance of a lengthy armchair honeycomb nanoribbon including vacancies, defects, or impurities

Fateme Nadri1, Mohammad Mardaani1,2, Hassan Rabani1,2   

  1. 1 Department of Physics, Faculty of Science, Shahrekord University, P. O. Box 115 Shahrekord, Iran;
    2 Nanotechnology Research Center, Shahrekord University, 8818634141 Shahrekord, Iran
  • Received:2018-09-09 Revised:2018-11-06 Online:2019-01-05 Published:2019-01-05
  • Contact: Mohammad Mardaani E-mail:mohammad-m@sci.sku.ac.ir

摘要:

We present a semi-analytic method to study the electronic conductance of a lengthy armchair honeycomb nanoribbon in the presence of vacancies, defects, or impurities located at a small part of it. For this purpose, we employ the Green's function technique within the nearest neighbor tight-binding approach. We first convert the Hamiltonian of an ideal semi-infinite nanoribbon to the Hamiltonian of some independent polyacetylene-like chains. Then, we derive an exact formula for the self-energy of the perturbed part due to the existence of ideal parts. The method gives a fully analytical formalism for some cases such as an infinite ideal nanoribbon and the one including linear symmetric defects. We calculate the transmission coefficient for some different configurations of a nanoribbon with special width including a vacancy, edge geometrical defects, and two electrical impurities.

关键词: nanoribbon, conductance, vacancy, impurity, Green's function

Abstract:

We present a semi-analytic method to study the electronic conductance of a lengthy armchair honeycomb nanoribbon in the presence of vacancies, defects, or impurities located at a small part of it. For this purpose, we employ the Green's function technique within the nearest neighbor tight-binding approach. We first convert the Hamiltonian of an ideal semi-infinite nanoribbon to the Hamiltonian of some independent polyacetylene-like chains. Then, we derive an exact formula for the self-energy of the perturbed part due to the existence of ideal parts. The method gives a fully analytical formalism for some cases such as an infinite ideal nanoribbon and the one including linear symmetric defects. We calculate the transmission coefficient for some different configurations of a nanoribbon with special width including a vacancy, edge geometrical defects, and two electrical impurities.

Key words: nanoribbon, conductance, vacancy, impurity, Green's function

中图分类号:  (Electronic transport in graphene)

  • 72.80.Vp
72.10.-d (Theory of electronic transport; scattering mechanisms) 73.23.-b (Electronic transport in mesoscopic systems) 78.67.Uh (Nanowires)