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General formula for phonon-assisted n-photon absorption in solids |
Deng Hong-Xiang(邓洪祥)a), Jiang Xiao-Dong(蒋晓东)a)b)†, Xiang Xia(向霞) a), Sun Kai(孙凯)c), Yuan Xiao-Dong(袁晓东) a)b), Zheng Wan-Guo(郑万国)b), Gao Fei(高飞)d), and Zu Xiao-Tao(祖小涛) a)‡ |
a Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China; b Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China; c Department of Materials Engineering and Sciences, University of Michigan, Ann Arbor, MI 48109, USA; d Pacific Northwest National Laboratory, P. O. Box 999, Richland, WA 99352, USA |
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Abstract A general formula for phonon-assisted n-photon absorption in solids is obtained by (n+1)-th order perturbation technique. The complicated calculation process for transition element of n-photon absorption is simply demonstrated by a diagram approach that is proposed in this work. We find that the transition element for the n-photon absorption has a simple form, i.e., it is just the first term of the n-th order fist kind Bessel function.
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Received: 06 March 2010
Revised: 09 April 2010
Accepted manuscript online:
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PACS:
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63.20.K-
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(Phonon interactions)
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71.15.-m
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(Methods of electronic structure calculations)
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71.20.-b
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(Electron density of states and band structure of crystalline solids)
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Fund: Project supported by the National High Technology Research and Development Program of China (863 Program) (Grant Nos. 2007AA804233 and 2008AA804050) and by the Fundamental Research Funds for the Central Universities (Grant Nos. ZYGX2009J046 and ZYGX2009X007). |
Cite this article:
Deng Hong-Xiang(邓洪祥), Jiang Xiao-Dong(蒋晓东), Xiang Xia(向霞), Sun Kai(孙凯), Yuan Xiao-Dong(袁晓东), Zheng Wan-Guo(郑万国), Gao Fei(高飞), and Zu Xiao-Tao(祖小涛) General formula for phonon-assisted n-photon absorption in solids 2010 Chin. Phys. B 19 107801
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