Exact diagonalization study of rare events in disordered conductors
Exact diagonalization study of rare events in disordered conductors
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无序导体中罕见事件的精确对角化研究
DOI：
10.1103/physrevb.63.241101
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发表时间：
2000
影响因子：
3.7
通讯作者：
M. Schreiber
中科院分区：
文献类型：
--
作者：
V. Uski;B. Mehlig;R. Römer;M. Schreiber
通过对一维、二维和准一维紧束缚哈密顿量的精确对角化，我们确定了无序量子系统中波函数的统计性质。在准一维情况下，我们发现波函数振幅分布的尾部可用非线性模型描述。在两个维度上，分布函数的尾部与最近基于直接最优波动方法的预测一致。72.15.Rn，71.23.An，05.40.-一
We determine the statistical properties of wave functions in disordered quantum systems by exact diagonalization of one-, two- and quasi-one dimensional tight-binding Hamiltonians. In the quasi-one dimensional case we find that the tails of the distribution of wave-function amplitudes are described by the non-linear �-model. In two dimensions, the tails of the distribution function are consistent with a recent prediction based on a direct optimal fluctuation method. 72.15.Rn,71.23.An,05.40.-a