Abstract
The coherent potential approximation (CPA) within full counting statistics (FCS) formalism is shown to be a suitable method to investigate average electric conductance, shot noise as well as higher order cumulants in disordered systems. We develop a similar FCS-CPA formalism for phonon transport through disordered systems. As a byproduct, we derive relations among coefficients of different phonon current cumulants. We apply the FCS-CPA method to investigate phonon transport properties of graphene systems in the presence of disorders. For binary disorders as well as Anderson disorders, we calculate up to the 8-th phonon transmission moments and demonstrate that the numerical results of the FCS-CPA method agree very well with that of the brute force method. The benchmark shows that the FCS-CPA method achieves 20 times more speedup ratio. Collective features of phonon current cumulants are also revealed.
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Acknowledgements
This work was financially supported by the National Natural Science Foundation of China (Grant No. 12034014) and the Natural Science Foundation of Guangdong Province (Grant No. 2020A1515011418).
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This article can also be found at http://journal.hep.com.cn/fop/EN/https://doi.org/10.1007/s11467-020-1027-8.
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Zhang, C., Xu, F. & Wang, J. Full counting statistics of phonon transport in disordered systems. Front. Phys. 16, 33502 (2021). https://doi.org/10.1007/s11467-020-1027-8
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DOI: https://doi.org/10.1007/s11467-020-1027-8