Probability distribution and new scaling law for the resistance of a one-dimensional Anderson model
Probability distribution and new scaling law for the resistance of a one-dimensional Anderson model
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一维安德森模型电阻的概率分布和新标度定律
DOI：
10.1103/physrevb.24.3592
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发表时间：
1981
影响因子：
3.7
通讯作者：
J. Joannopoulos
中科院分区：
文献类型：
--
作者：
A. Stone;J. Joannopoulos
电阻 ρ、电导和 ln (1+ ρ) 的精确概率分布是针对 E= 0 处具有纯非对角无序的一维安德森模型计算的。对分布的分析产生了令人惊讶的结果，< ρ> 随长度呈指数增长，尽管之前的研究表明 E= 0 处的状态被扩展，并且典型电阻 ρ ̃ 随着 exp (L 1 2) 增加。讨论了这种行为与细线电阻的温度依赖性之间的关系。
The exact probability distributions of the resistance ρ, the conductance, and ln (1+ ρ) are calculated for the 1D Anderson model with purely off-diagonal disorder at E= 0. Analysis of the distribution yields the surprising results that< ρ> grows exponentially with length, despite previous studies indicating that the state at E= 0 is extended, and the typical resistance ρ ̃ increases as exp (L 1 2). The relationship between this behavior and the temperature dependence of the resistance of thin wires is discussed.