Phonon dispersion effect on the weak coupling polaron in monolayer graphene

Abstract

Abstract: The influence of the phonon dispersion on the weak coupling polaron in monolayer graphene was studied by using the linear combination operator and LLP unitary transformation method. Taking account of the longitudinal optical (LO) phonons dispersion in a parabolic approximation, the ground state energy and the zero-Landau level splitting energy in monolayer graphene as a function of the coefficient of the phonon dispersion were obtained. Numerical calculation results show that the ground state energy increases with increasing the Debye cut-off wave number, the zero-Landau level splitting energy decreases with increasing the coefficient of phonon dispersion.

Key words: optoelectronics, graphene, polaron, linear combination operator, phonon dispersion

CLC Number:

O469

YANG Hongtao, JI Wenhui, . Phonon dispersion effect on the weak coupling polaron in monolayer graphene[J]. Chinese Journal of Quantum Electronics, 2020, 37(1): 88-92.

References

Kandemir B S, Mogulkoc A. Chiral symmetry breaking by a magnetic field in graphene [J]. Physics Letters A, 2015, 379(36): 2120-2124. [2] Zhu J，Badalyan S M，Peeters F M. Electron-phonon bound states in graphene in a perpendicular magnetic field [J]. Physical Review Letters, 2012, 109(25): 256602. [3] Olsen T, Latini S, Rasmussen F, et al. Simple screened hydrogen model of excitons in two-dimensional materials [J]. Physical Review Letters, 2016, 116: 056401. [4] Wang Ziwu, Li Weiping, Xiao Yao, et al. Influence of excition-phonons coupling on the excition binding energy in monolayer transition metal dichalcogenides [J]. Applied Physics Letters, 2017, 110: 231603. [5] Jia Caihong, Ding Zhaohua, Wang Rui. The properties of weak coupling polaron in monolayer graphene [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2019, 36(3): 366-370 (in Chinese). [6] Chen Zhiguo, Shi Zhiwen, Yang Wei, et al. Observation of an intrinsic bandgap and Landau level renormalizeation in graphene/boron-nitride heterostructures [J]. Nature Communications, 2014, 5: 4461. [7] Yang Hongtao, Ji Wenhui, Huhemandula. Effect of phonon dispersion on weak-coupled polaron in a parabolic quantum dot [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2015, 32(2): 241-245 (in Chinese). [8] Yang Hongtao, Ji Wenhui, Feng Youliang, et al. The influence of phonon dispersion on the ground-state energy of magnetopolaron in a polar crystal [J]. Journal of Atomic and Molecular Physics(原子与分子物理学报), 2016, 33(2): 335-338 (in Chinese). [9] Ji Wenhui, Yang Hongtao, Huhemandula, et al. The influence of the phonon dispersion and a magnetic field on the self-trapping energy of the polaron in a polar crystal [J]. Journal of Quantum Optics (量子光学学报), 2015, 21(1): 64-68 (in Chinese). [10] Koswatta S O, Hasan S, Lundstrom M S, et al. Non-equilibrium Green's function treatment of phonon scattering in carbon nanotube transistors [J]. IEEE Transactions on Electron Devices, 2007, 54(9): 2339-2351.

[1]	LYU Haiyan, , HONG Zhanyong, DU Xianchang, . Research on refrigeration system of single−photon detector [J]. Chinese Journal of Quantum Electronics, 2023, 40(3): 400-406.
[2]	ZHANG Ruoya , ZHU Qiaofen , ZHANG Yan . Research progress of tunable terahertz metamaterial absorbers [J]. Chinese Journal of Quantum Electronics, 2023, 40(3): 301-318.
[3]	XU Jianwei , OUYANG Shoujian , DUAN Shouxin , ZOU Liner , , DENG Xiaohua , SHEN Yun, . Terahertz planar toroidal dipole metamaterial sensor for detecting gutter oil [J]. Chinese Journal of Quantum Electronics, 2023, 40(3): 333-339.
[4]	CHEN Qiming , FU Renxuan , XU Yongjun , LIU Yibiao , ZHOU Jinyun , SONG Xianwen. Fabrication of SU-8 microstructure and PDMS concentration gradient generator by moving focal plane front and back exposure [J]. Chinese Journal of Quantum Electronics, 2023, 40(3): 415-422.
[5]	PAN Xiaokai , JIANG Mengjie , , WANG Dong , , LYU Xuyang , , LAN Shiqi , , WEI Yingdong , , HE Yuan , , GUO Shuguang , , CHEN Pingping , WANG Lin ∗ , CHEN Xiaoshuang , LU Wei . Application and frontier trend of infrared-terahertz photoelectric detector [J]. Chinese Journal of Quantum Electronics, 2023, 40(2): 217-237.
[6]	DONG Qinlu, HAN Yiping ∗ , ZHANG Qifan. Transmission characteristics of terahertz waves in a hypersonic target plasma sheath [J]. Chinese Journal of Quantum Electronics, 2023, 40(2): 258-266.
[7]	YAO Bozhi , SHI Lili , WU Jingbo , , CHEN Jian , ∗ , WU Peiheng , . Readout of high-sensitive terahertz detector arrays at low temperature [J]. Chinese Journal of Quantum Electronics, 2023, 40(2): 267-274.
[8]	WANG Chenyu ♯ , LIAO Yu ♯ , MEI Zhijie, LIU Xudong, SUN Yiwen ∗. A terahertz modulator based on GaAs surface plasma grating array structure [J]. Chinese Journal of Quantum Electronics, 2023, 40(2): 275-281.
[9]	Lan -Hong. Properties of magnetopolaron in asymmetry quantum well [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 728-735.
[10]	WU Renglai∗, YU Yabin, XIAO Shifa, QUAN Jun. Correction of plasmon dispersion relation due to thickness of monolayer-atom system [J]. Chinese Journal of Quantum Electronics, 2022, 39(4): 541-548.
[11]	WANG Yang, LI Xin∗, HUANG Xionghao, LIU Enchao, Zhang Yanna. Design of wavelength scanning for solar spectral irradiance instrument [J]. Chinese Journal of Quantum Electronics, 2022, 39(4): 519-530.
[12]	MENG Weili∗, WANG Qingqing, SHAO Jing, CHENG Hongwei, GONG Hao. Device performance dependence on photoactive composition in graphene-based hybrid solar cells [J]. Chinese Journal of Quantum Electronics, 2022, 39(4): 613-619.
[13]	Zhang Li∗, Wang Qi. Fr¨ohlich electron-phonon interaction Hamiltonian in GaN nanowires with triangular cross-section [J]. Chinese Journal of Quantum Electronics, 2022, 39(4): 632-643.
[14]	XU Wenhao, SHOU Yichang, LUO Hailu∗. Spin-orbit interaction of light [J]. Chinese Journal of Quantum Electronics, 2022, 39(2): 159-181.
[15]	PEI Zhicheng, DING Zhaohua∗, GENG Yanbo, XIAO Jinling. Magnetic field effect of weak coupling polaron of monolayer transition metal dichalcogenides [J]. Chinese Journal of Quantum Electronics, 2021, 38(4): 539-544.