Nonlinear Refractive Index in Rectangular Graphene Quantum Dots

Alongside its other favorable properties, the large refraction nonlinearity of graphene-related material makes it ideal for use in optoelectronics applications. Numerous experimental studies about nonlinear optical refraction have been conducted, but theoretical verification is lacking. In this pape...

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Main Authors: Yonggang Qin, Xiaobo Feng, Yu Liu
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Applied Sciences
Subjects:
Online Access:http://www.mdpi.com/2076-3417/9/2/325
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author Yonggang Qin
Xiaobo Feng
Yu Liu
author_facet Yonggang Qin
Xiaobo Feng
Yu Liu
author_sort Yonggang Qin
collection DOAJ
description Alongside its other favorable properties, the large refraction nonlinearity of graphene-related material makes it ideal for use in optoelectronics applications. Numerous experimental studies about nonlinear optical refraction have been conducted, but theoretical verification is lacking. In this paper the nonlinear refractive index for rectangular graphene quantum dots (RGQDs) was calculated using the relationship between nonlinear refractive index and the third-order nonlinear optical susceptibility. The third-order nonlinear optical susceptibility for third harmonic generation was derived employing the electronic states obtained from the Dirac equation around K point in RGQDs under hard wall boundary conditions. Results revealed that the calculated nonlinear refractive index, n 2 , was in the magnitude of 10−14 m2/W in the visible region, which is nearly five orders larger than conventional semiconductor quantum dots, while in the infrared region the nonlinear refractive index reached up to the magnitude of 10−11 m2/W for M = 3M0 sized RGQDs where the resonance enhancement occurred. The nonlinear refractive index could be tuned both by the edges and sizes.
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spelling doaj.art-d8990b1424984ac4a1f1113ce8882e332022-12-21T19:52:58ZengMDPI AGApplied Sciences2076-34172019-01-019232510.3390/app9020325app9020325Nonlinear Refractive Index in Rectangular Graphene Quantum DotsYonggang Qin0Xiaobo Feng1Yu Liu2School of Physics and Electronic Information, Yunnan Normal University, Kunming 650500, ChinaSchool of Physics and Electronic Information, Yunnan Normal University, Kunming 650500, ChinaSchool of Physics and Electronic Information, Yunnan Normal University, Kunming 650500, ChinaAlongside its other favorable properties, the large refraction nonlinearity of graphene-related material makes it ideal for use in optoelectronics applications. Numerous experimental studies about nonlinear optical refraction have been conducted, but theoretical verification is lacking. In this paper the nonlinear refractive index for rectangular graphene quantum dots (RGQDs) was calculated using the relationship between nonlinear refractive index and the third-order nonlinear optical susceptibility. The third-order nonlinear optical susceptibility for third harmonic generation was derived employing the electronic states obtained from the Dirac equation around K point in RGQDs under hard wall boundary conditions. Results revealed that the calculated nonlinear refractive index, n 2 , was in the magnitude of 10−14 m2/W in the visible region, which is nearly five orders larger than conventional semiconductor quantum dots, while in the infrared region the nonlinear refractive index reached up to the magnitude of 10−11 m2/W for M = 3M0 sized RGQDs where the resonance enhancement occurred. The nonlinear refractive index could be tuned both by the edges and sizes.http://www.mdpi.com/2076-3417/9/2/325nonlinear refractive indexgraphenequantum dot
spellingShingle Yonggang Qin
Xiaobo Feng
Yu Liu
Nonlinear Refractive Index in Rectangular Graphene Quantum Dots
Applied Sciences
nonlinear refractive index
graphene
quantum dot
title Nonlinear Refractive Index in Rectangular Graphene Quantum Dots
title_full Nonlinear Refractive Index in Rectangular Graphene Quantum Dots
title_fullStr Nonlinear Refractive Index in Rectangular Graphene Quantum Dots
title_full_unstemmed Nonlinear Refractive Index in Rectangular Graphene Quantum Dots
title_short Nonlinear Refractive Index in Rectangular Graphene Quantum Dots
title_sort nonlinear refractive index in rectangular graphene quantum dots
topic nonlinear refractive index
graphene
quantum dot
url http://www.mdpi.com/2076-3417/9/2/325
work_keys_str_mv AT yonggangqin nonlinearrefractiveindexinrectangulargraphenequantumdots
AT xiaobofeng nonlinearrefractiveindexinrectangulargraphenequantumdots
AT yuliu nonlinearrefractiveindexinrectangulargraphenequantumdots