Influence of Magnetic Field on The Properties of Weak-coupling Polaron in Graphene

DING Zhao-hua; PEI Zhi-cheng; ZHAO Ying; XIAO Jing-lin

doi:10.3788/fgxb20183912.1669

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Influence of Magnetic Field on The Properties of Weak-coupling Polaron in Graphene

更新时间：2020-08-12

- Influence of Magnetic Field on The Properties of Weak-coupling Polaron in Graphene
- Chinese Journal of Luminescence Vol. 39, Issue 12, Pages: 1669-1673(2018)
- 作者机构：
  
  内蒙古民族大学物理与电子信息学院,内蒙古通辽,028043
- 作者简介：
- 基金信息：
  
  Supported by National Natural Science Foundation of China(11464033)
- DOI：10.3788/fgxb20183912.1669
  CLC： O469
- Received：28 February 2018，
  
  Revised：26 May 2018，
  
  Published Online：13 June 2018，
  
  Published：05 December 2018
- 稿件说明：
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丁朝华, 裴志成, 赵颖等. 磁场对石墨烯中弱耦合极化子性质的影响[J]. 发光学报, 2018,39(12): 1669-1673

DING Zhao-hua, PEI Zhi-cheng, ZHAO Ying etc. Influence of Magnetic Field on The Properties of Weak-coupling Polaron in Graphene[J]. Chinese Journal of Luminescence, 2018,39(12): 1669-1673
丁朝华, 裴志成, 赵颖等. 磁场对石墨烯中弱耦合极化子性质的影响[J]. 发光学报, 2018,39(12): 1669-1673 DOI： 10.3788/fgxb20183912.1669.

DING Zhao-hua, PEI Zhi-cheng, ZHAO Ying etc. Influence of Magnetic Field on The Properties of Weak-coupling Polaron in Graphene[J]. Chinese Journal of Luminescence, 2018,39(12): 1669-1673 DOI： 10.3788/fgxb20183912.1669.

摘要

研究了磁场作用下石墨烯中电子与表面光学声子弱耦合情况下的极化子的性质。采用线性组合算符和Pekar变分法分别推导出了石墨烯中弱耦合极化子的基态能量

、第一激发态能量

和跃迁频率

随磁场强度

和德拜截止波数

之间的变化关系。数值计算结果表明，极化子的基态能量

随磁场强度

变化的曲线（

一定时）和

随

的变化曲线（

一定时）均会分裂成对称的两条，并且当

一定时

的绝对值随

的增加而增加。在

一定时，极化子的第一激发态能量

和跃迁频率

均为磁场

的增函数；在

一定时，

和

均随

的增加而增大。

Abstract

The influence of magnetic field on the polaron properties in the weak coupling of electron and surface optical phonons in monolayer graphene was investigated by using the improved linear combination operator method and the Pekar variational method. The dependences of the energies of the ground state

the first excited state

and the transition frequency

of weak-coupling polaron on magnetic field

and Debye cut-off wavenumber

were derived. Numerical calculations show that the ground state energy

of weak-coupling polaron near the Dirac point is an increasing function of strength of magnetic field

and Debye cut-off wavenumber

the curves of the polaron's ground state energy

of weak-coupling polaron will split into two equal and opposite band; both the first excited state energy

and the transition frequency

are also an increasing function with strength of magnetic field

and Debye cutoff wavenumbers

关键词

Keywords

references

STAUBER T, PERES N M. Effect of Holstein phonons on the electronic properties of graphene[J]. J. Phys.:Condens. Matter, 2008, 20(5):055002-1-7.

HENRIKSEN E A, CADDEN Z P, JIANG Z, et al.. Interaction-induced shift of the cyclotron resonance of graphene using infrared spectroscopy[J]. Phys. Rev. Lett., 2010, 104(6):067404.

ZHAO Y, CADDEN Z P, JIANG Z, et al.. Symmetry breaking in the zero-energy landau level in bilayer graphene[J]. Phys. Rev. Lett., 2010, 104(6):066801.

WANG Z W, LI S S. Lattice relaxation of the graphene under high magnetic field[J]. J. Phys.:Condens. Matter, 2012, 24:265302.

ZHU J, BADALYAN S M, PEETERS F M. Plasmonic excitations in coulomb-coupled N-layer graphene structures[J]. Phys. Rev. B, 2013, 87(8):085401.

LI W P, WANG Z W, YIN J W. The effects of the magnetopolaron on the energy gap opening in graphene[J]. J. Phys.:Condens. Matter, 2012, 24(13):135301-1-5.

WANG Z W, LIU L, LI Z. Energy gap induced by the surface optical polaron in graphene on polar substrates[J]. Appl. Phys. Lett., 2015, 106(10):1016011-1-4.

DING Z H, ZHAO Y, XIAO J L. The magnetic effect of polaron in monolayer graphene[J]. J. Low Temp. Phys., 2016,182(5):162-169.

DING Z H, ZHAO Y, XIAO J L. The properties of strong couple bound polaron in monolayer graphene[J]. Superlatt. Microstruct., 2016, 97:298-302.

杨杨, 吴丽娜, 祁立娜, 等. 自旋对量子线中强耦合磁极化子的影响[J]. 内蒙古民族大学学报(自然科学版),2014, 29(1):7-10. YANG Y, WU L N, QI L N, et al.. Effect of spin of strong-coupled magnetopolaron in quantum wire[J]. J. Inner Mongolia Univ. Nation., 2014, 29(1):7-10. (in Chinese)

FUCHS J N, LEDER P. Spontaneous parity breaking of graphene in the quantum Hall regime[J]. Phys. Rev. Lett., 2007, 98(1):016803.

LI W P, WANG Z W, YIN J W. The effects of the magnetopolaron on the energy gap opening in graphene[J]. J. Phys.:Condens. Matter, 2012, 24(13):135301-135305.

HUYBRECHTS W J. Internal excited state of the optical polaron[J]. J. Phys. C:Solid State Phys., 1977, 10(19):3761-3768.

LEE T D, LOW F E, PINES D. The motion of slow electrons in a polar crystal[J]. Phys. Rev., 1953, 90(2):297-302.

VILJAS J K, HEIKKILA T T. Electron-phonon heat transfer in monolayer and bilayer graphene[J]. Phys. Rev. B, 2010, 81(24):245404.

MILLER D L, KUBISTA K D, RUTTER G M, et al.. Observing the quantization of zero mass carriers in graphene[J]. Sci. Mag., 2009, 324(5929):924-927.

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