Nonlinear statistics of quantum transport in chaotic cavities
Nonlinear statistics of quantum transport in chaotic cavities
复制标题
混沌腔中量子输运的非线性统计
DOI：
10.1103/physrevb.77.125332
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发表时间：
2007
影响因子：
3.7
通讯作者：
W. Wieczorek
中科院分区：
文献类型：
--
作者：
D. Savin;H. Sommers;W. Wieczorek
在随机矩阵方法的框架下，我们将Selberg积分理论应用于混沌空腔中的量子输运问题。所有的传递矩特征值都是解析计算到四阶的。结果，我们得到了混沌腔中电导和透射电荷的偏度和峰度以及弹噪声功率方差的精确显式表达式。所得结果一般适用于连接的两根引线中任意数量的传播通道。在大（且相等）信道数的特定极限下，散噪声方差服从于普适值$1∕64\ensuremath{\beta}$，该普适值决定了在这种情况下散噪声波动的普适高斯统计量。
In the framework of the random matrix approach, we apply the theory of Selberg's integral to problems of quantum transport in chaotic cavities. All the moments of transmission eigenvalues are calculated analytically up to the fourth order. As a result, we derive exact explicit expressions for the skewness and kurtosis of the conductance and transmitted charge as well as for the variance of the shot-noise power in chaotic cavities. The obtained results are generally valid at arbitrary numbers of propagating channels in the two attached leads. In the particular limit of large (and equal) channel numbers, the shot-noise variance attends the universal value $1∕64\ensuremath{\beta}$ that determines a universal Gaussian statistics of shot-noise fluctuations in this case.
影响因子：
3.7
作者：
M. Novaes
通讯作者：
M. Novaes