Dimension dependence of the conductance distribution in the nonmetallic regimes
Dimension dependence of the conductance distribution in the nonmetallic regimes
复制标题
非金属区域中电导分布的尺寸依赖性
DOI：
10.1103/physrevb.65.104207
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发表时间：
2000
影响因子：
3.7
通讯作者：
P. Markoš
中科院分区：
文献类型：
--
作者：
P. Markoš
数值计算了无序三维系统在临界区和绝缘区的电导分布P（g），并与弱无序准一维系统的电导分布P（g）进行了比较。虽然这两个系统表现出类似的传输特性，它们的电导分布不同的定量。特别是，$P（\mathrm{ln}g）$在三维绝缘体中并不完全是高斯分布。我们通过对传输矩阵谱的分析解释了这种差异。我们的数值计算结果证实，统计的电导是一致的单参数标度也在强本地化制度。
The conductance distribution $P(g)$ in disordered three-dimensional systems in the critical and insulating regimes is calculated numerically and compared with $P(g)$ of weakly disordered quasi-one-dimensional systems. Although both systems exhibit similar transport properties, their conductance distributions differ quantitatively. In particular, $P(\mathrm{ln}g)$ is not exactly Gaussian in three-dimensional insulators. We explain this difference by analysis of the spectrum of transfer matrix. Our numerical data confirm that the statistics of the conductance is consistent with the one-parameter scaling also in the strongly localized regime.