论文标题
无序系统中声子传输的全面计数统计数据
Full Counting Statistics of Phonon Transport in Disordered Systems
论文作者
论文摘要
完整计数统计（FCS）形式主义中的相干电位近似（CPA）被证明是研究平均电导，射击噪声以及无序系统中的高阶累积物的合适方法。我们开发出类似的FCS-CPA形式主义，用于通过无序系统传输声子传输。作为副产品，我们得出了不同声子电流累积物系数之间的关系。我们将FCS-CPA方法应用于在存在疾病的情况下研究石墨烯系统的声子传输性能。对于二进制疾病以及安德森疾病，我们计算出高达$ 8 $的声子传输矩，并证明FCS-CPA方法的数值结果与蛮力方法的数值非常吻合。基准测试表明，FCS-CPA方法达到了$ 20 $ 20 $倍的加速比。还揭示了声子电流累积物的集体特征。
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.
