Localization-delocalization transition in a presence of correlated disorder: The random dimer model
Localization-delocalization transition in a presence of correlated disorder: The random dimer model
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DOI：
10.1103/physrevb.69.085109
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发表时间：
2003-02
影响因子：
3.7
通讯作者：
Tigran A. Sedrakyan
中科院分区：
文献类型：
--
作者：
Tigran A. Sedrakyan
研究了一维二聚体模型，精确计算了局域化长度。当ε ∈ a -B ≤ 2时，确定了在两种可能的化学势值Ec =∈ a，B处存在离域态，并计算了相应的定域长度指数.求解了将态密度与局域化长度的倒数联系起来的奇异积分方程，并将态密度的解析表达式与数值计算结果进行了比较。
The one-dimensional dimer model is investigated and the localization length calculated exactly. The presence of delocalized states at E c =∈ a , b of two possible values of the chemical potential in case of ‖∈ a -∈ b ‖ ≤2is confirmed and the corresponding indices of the localization length were calculated. The singular integral equation connecting the density of states with the inverse of the localization length is solved and the analytic expression for the density of states compared with the numerical calculations.