The statistics of the conductance of one-dimensional disordered chains
The statistics of the conductance of one-dimensional disordered chains
复制标题
一维无序链的电导统计
DOI：
10.1088/0022-3719/17/32/007
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发表时间：
1984
期刊：
影响因子：
--
通讯作者：
J. Pendry
中科院分区：
文献类型：
--
作者：
P. Kirkman;J. Pendry
以前用于求传输系数（tx）的任意幂的平均值的“广义传输矩阵”方法，在y=0, -2， -4的情况下被应用于求（t模y）。和我的宝贝。这些情况包括电导的所有整数矩，对t模2，和它的倒数，电阻。电导是物理上更重要的量，并且发现它与链长有复杂的关系。该公式适用于任何无序分布和所有样本长度。给出了极限情况和数值结果。发现了二元合金电导能量依赖的异常现象。
The method of 'generalised transfer matrices' previously used to find the average of any power of the transmission coefficient, (tx) is applied to finding ( mod t mod y) in the cases y=0, -2, -4 . . . and Re y>1. These cases include all the integer moments of the conductance, mod t mod 2, and its reciprocal, the resistance. The conductance is the more physically important quantity and is found to have a complicated dependence on chain length. The formulae are valid for any distribution of disorder and all lengths of sample. Limiting cases and numerical results are presented. An anomaly in the energy dependence of the conductance of a binary alloy is discovered.