UNIVERSALITY IN DISORDERED MESOSCOPIC SYSTEMS
UNIVERSALITY IN DISORDERED MESOSCOPIC SYSTEMS
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DOI：
10.1142/s0217979292000645
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发表时间：
1992-04
影响因子：
1.7
通讯作者：
A. Cohen;B. Shapiro
中科院分区：
文献类型：
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作者：
A. Cohen;B. Shapiro
我们考虑在迁移率边缘(零温度)的无序电子样品系综，研究了尺寸为L的样品的电导分布PL(G)。对于任意初始分布P0(G)，我们导出了累积量母函数方程并求出了它的解。我们证明了当L→∞时，与P0(G)无关的分布PL(G)逼近完全泛函数P*(G)。
We consider an ensemble of disordered electronic samples at the mobility edge (at zero temperature) and study the conductance distribution PL(g), for samples of size L. We derive an equation for the cumulant generating function and find its solution, for any initial distribution P0(g). We prove that, independent of P0(g), the distribution PL(g) approaches an entirely universal function P*(g) when L→∞.