The Properties of Weak Coupling Polaron in Monolayer Graphene

Abstract

Abstract: The LLP variational method as well as linear combination operator are used to study the properties of weak coupling polarons in monolayer graphene (MG) .It is found that the relationships between the ground state energy of weak coupling polarons and Debye wavenumber of the phonon, the vibrational frequency. At the same time, the first excited state energy and transition energy of the polaron has a linear relationship with the debye cut-off wavenumber(DW), and the vibrational frequency. The result of numerical calculation shows: The ground state energy, the first excited state energy and TE of the polaron in MG can be tunabled by controlling the DW and vibrational frequency. The the ground state energy increased with the increase of DW and vibrational frequency and the first excited state energy and transition energy are not amonotone function with DW and vibrational frequency.

Key words: monolayer graphene；weak coupling, polaron, ground state energy ;the first excited state energy

JIA Cai-Hong 1,DING Zhao-Hua1**,WANG Rui2 . The Properties of Weak Coupling Polaron in Monolayer Graphene[J]. Chinese Journal of Quantum Electronics.

References

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