In this paper, the phonon scattering mechanisms of single-layer graphene are investigated based on the complete phonon dispersion relations. According to the selection rules that a phonon scattering process should obey the energy and momentum conservation conditions, the relaxation rates of combining and splitting umklapp processes can be calculated by integrating the intersection lines between different phonon mode surfaces in the phonon dispersion relation space. The dependence of the relaxation rates on the wave vector directions is presented with a three-dimensional surface over the first Brillouin zone. It is found that the reason for the optical phonons contributing little to heat transfer is attributed to the strong umklapp processes but not to their low phonon group velocities. The combining umklapp scattering processes involving the optical phonons mainly decrease the acoustic phonon thermal conductivity, while the splitting umklapp scattering processes of the optical phonons mainly restrict heat conduction by the optical phonons themselves. Neglecting the splitting processes, the optical phonons can contribute more energy than that carried by the acoustic phonons. Based on the calculated phonon relaxation time, the thermal conductivities contributed from different mode phonons can be evaluated. At low temperatures, both longitudinal and in-plane transverse acoustic phonon thermal conductivities have temperature dependence, and the out-of-plane transverse acoustic phonon thermal conductivity is proportion to . The calculated thermal conductivity is on the order of a few thousands W/(m K) at room temperature, depending on the sample size and the edge roughness, and is in agreement well with the recently measured data in the temperature range from about 350 K to 500 K.
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Micro/Nanoscale Heat Transfer
The Phonon Thermal Conductivity of Single-Layer Graphene From Complete Phonon Dispersion Relations
Yunfeng Gu,
Yunfeng Gu
College of Electronic and Mechanical Engineering, Nanjing Forestry University, Nanjing 210037, People’s Republic of China; Jiangsu Key Laboratory for Design and Manufacture of Micro-Nano Biomedical Instruments, Key Laboratory of MEMS of China Educational Ministry,
Southeast University
, Nanjing, 210096, People’s Republic of China
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Zhonghua Ni,
Zhonghua Ni
Jiangsu Key Laboratory for Design and Manufacture of Micro-Nano Biomedical Instruments, Key Laboratory of MEMS of China Educational Ministry,Southeast University
, Nanjing, 210096, People’s Republic of China
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Minhua Chen,
Minhua Chen
Jiangsu Key Laboratory for Design and Manufacture of Micro-Nano Biomedical Instruments, Key Laboratory of MEMS of China Educational Ministry,Southeast University
, Nanjing, 210096, People’s Republic of China
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Kedong Bi,
Kedong Bi
Jiangsu Key Laboratory for Design and Manufacture of Micro-Nano Biomedical Instruments, Key Laboratory of MEMS of China Educational Ministry,Southeast University
, Nanjing, 210096, People’s Republic of China
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Yunfei Chen
e-mail: yunfeichen@seu.edu.cn
Yunfei Chen
Jiangsu Key Laboratory for Design and Manufacture of Micro-Nano Biomedical Instruments, Key Laboratory of MEMS of China Educational Ministry,Southeast University
, Nanjing, 210096, People’s Republic of China
Search for other works by this author on:
Yunfeng Gu
College of Electronic and Mechanical Engineering, Nanjing Forestry University, Nanjing 210037, People’s Republic of China; Jiangsu Key Laboratory for Design and Manufacture of Micro-Nano Biomedical Instruments, Key Laboratory of MEMS of China Educational Ministry,
Southeast University
, Nanjing, 210096, People’s Republic of China
Zhonghua Ni
Jiangsu Key Laboratory for Design and Manufacture of Micro-Nano Biomedical Instruments, Key Laboratory of MEMS of China Educational Ministry,Southeast University
, Nanjing, 210096, People’s Republic of China
Minhua Chen
Jiangsu Key Laboratory for Design and Manufacture of Micro-Nano Biomedical Instruments, Key Laboratory of MEMS of China Educational Ministry,Southeast University
, Nanjing, 210096, People’s Republic of China
Kedong Bi
Jiangsu Key Laboratory for Design and Manufacture of Micro-Nano Biomedical Instruments, Key Laboratory of MEMS of China Educational Ministry,Southeast University
, Nanjing, 210096, People’s Republic of China
Yunfei Chen
Jiangsu Key Laboratory for Design and Manufacture of Micro-Nano Biomedical Instruments, Key Laboratory of MEMS of China Educational Ministry,Southeast University
, Nanjing, 210096, People’s Republic of China
e-mail: yunfeichen@seu.edu.cn
J. Heat Transfer. Jun 2012, 134(6): 062401 (8 pages)
Published Online: May 9, 2012
Article history
Received:
September 2, 2010
Revised:
October 7, 2011
Published:
May 9, 2012
Citation
Gu, Y., Ni, Z., Chen, M., Bi, K., and Chen, Y. (May 9, 2012). "The Phonon Thermal Conductivity of Single-Layer Graphene From Complete Phonon Dispersion Relations." ASME. J. Heat Transfer. June 2012; 134(6): 062401. https://doi.org/10.1115/1.4005743
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