Graphene-Substrate Effects on Characteristics of Weak-Coupling Bound Magnetopolaron

Graphene has many unique properties which have made it a hotbed of scientific research in recent years. However, it is not expected intuitively that the strong effects of the substrate and Coulomb doping in the center of crystal cell on the polaron in monolayer graphene. Here, the interaction energy...

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Main Authors: Zhao-Hua Ding, Yan-Bo Geng, Ying Zhao, Yong Sun, Jing-Lin Xiao
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in Condensed Matter Physics
Online Access:http://dx.doi.org/10.1155/2020/5818403
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author Zhao-Hua Ding
Yan-Bo Geng
Ying Zhao
Yong Sun
Jing-Lin Xiao
author_facet Zhao-Hua Ding
Yan-Bo Geng
Ying Zhao
Yong Sun
Jing-Lin Xiao
author_sort Zhao-Hua Ding
collection DOAJ
description Graphene has many unique properties which have made it a hotbed of scientific research in recent years. However, it is not expected intuitively that the strong effects of the substrate and Coulomb doping in the center of crystal cell on the polaron in monolayer graphene. Here, the interaction energy of surface electron (hole) in the graphene and optical phonons in the substrate, which give rise to weakly coupled polarons, is analyzed in the context of the Coulomb doping. The ground-state energy of the polaron is calculated using the Lee-Low-Pine unitary transformation and linear combination operator method. It is found that the ground-state energy is an increasing function of magnetic field strength, the bound Coulomb potential, and the cutoff wavenumber. Numerical results also reveal that the ground-state energy reduces as the distance between the graphene and the substrate is increased. Moreover, the ground energy level of polaron shows the two (+) and (−) branches and zero-Landau energy (ground) level separation in the graphene-substrate material.
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institution Kabale University
issn 1687-8108
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language English
publishDate 2020-01-01
publisher Wiley
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series Advances in Condensed Matter Physics
spelling doaj-art-dd747b571b0e42e7ad0b4d2b2bf2f1592025-08-20T03:26:05ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242020-01-01202010.1155/2020/58184035818403Graphene-Substrate Effects on Characteristics of Weak-Coupling Bound MagnetopolaronZhao-Hua Ding0Yan-Bo Geng1Ying Zhao2Yong Sun3Jing-Lin Xiao4Institute of Condensed Matter Physics, Inner Mongolia University for Nationalites, Tongliao 028043, ChinaInstitute of Condensed Matter Physics, Inner Mongolia University for Nationalites, Tongliao 028043, ChinaInstitute of Condensed Matter Physics, Inner Mongolia University for Nationalites, Tongliao 028043, ChinaInstitute of Condensed Matter Physics, Inner Mongolia University for Nationalites, Tongliao 028043, ChinaInstitute of Condensed Matter Physics, Inner Mongolia University for Nationalites, Tongliao 028043, ChinaGraphene has many unique properties which have made it a hotbed of scientific research in recent years. However, it is not expected intuitively that the strong effects of the substrate and Coulomb doping in the center of crystal cell on the polaron in monolayer graphene. Here, the interaction energy of surface electron (hole) in the graphene and optical phonons in the substrate, which give rise to weakly coupled polarons, is analyzed in the context of the Coulomb doping. The ground-state energy of the polaron is calculated using the Lee-Low-Pine unitary transformation and linear combination operator method. It is found that the ground-state energy is an increasing function of magnetic field strength, the bound Coulomb potential, and the cutoff wavenumber. Numerical results also reveal that the ground-state energy reduces as the distance between the graphene and the substrate is increased. Moreover, the ground energy level of polaron shows the two (+) and (−) branches and zero-Landau energy (ground) level separation in the graphene-substrate material.http://dx.doi.org/10.1155/2020/5818403
spellingShingle Zhao-Hua Ding
Yan-Bo Geng
Ying Zhao
Yong Sun
Jing-Lin Xiao
Graphene-Substrate Effects on Characteristics of Weak-Coupling Bound Magnetopolaron
Advances in Condensed Matter Physics
title Graphene-Substrate Effects on Characteristics of Weak-Coupling Bound Magnetopolaron
title_full Graphene-Substrate Effects on Characteristics of Weak-Coupling Bound Magnetopolaron
title_fullStr Graphene-Substrate Effects on Characteristics of Weak-Coupling Bound Magnetopolaron
title_full_unstemmed Graphene-Substrate Effects on Characteristics of Weak-Coupling Bound Magnetopolaron
title_short Graphene-Substrate Effects on Characteristics of Weak-Coupling Bound Magnetopolaron
title_sort graphene substrate effects on characteristics of weak coupling bound magnetopolaron
url http://dx.doi.org/10.1155/2020/5818403
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