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

doi:10.1088/1674-1056/28/1/017202

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.

Keywords: nanoribbon conductance vacancy impurity Green's function

Received: 09 September 2018
Revised: 06 November 2018
Accepted manuscript online:

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

Corresponding Authors: Mohammad Mardaani
E-mail: mohammad-m@sci.sku.ac.ir

Cite this article:

Fateme Nadri, Mohammad Mardaani, Hassan Rabani Semi-analytic study on the conductance of a lengthy armchair honeycomb nanoribbon including vacancies, defects, or impurities 2019 Chin. Phys. B 28 017202

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

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