Effective cluster typical medium theory for the diagonal Anderson disorder model in one- and two-dimensions
Effective cluster typical medium theory for the diagonal Anderson disorder model in one- and two-dimensions
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DOI：
10.1088/0953-8984/26/27/274209
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发表时间：
2013-06
期刊：
影响因子：
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通讯作者：
C. Ekuma;H. Terletska;Z. Meng;J. Moreno;M. Jarrell;S. Mahmoudian;V. Dobrosavljević
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文献类型：
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作者：
C. Ekuma;H. Terletska;Z. Meng;J. Moreno;M. Jarrell;S. Mahmoudian;V. Dobrosavljević
我们发展了一个团簇典型介质理论来研究无序电子系统中的局域化。我们的形式主义是能够纳入非本地相关性超出当地的典型介质理论在一个系统的方式。集团典型介质理论利用动量分辨的典型态密度和杂化函数来描述局域化跃迁。我们适用于形式主义的安德森模型的本地化在一个和两个维度。在一维情况下，临界无序强度与线性团簇尺寸成反比，且服从幂律Wc <$（1/Lc）1/ν;而在二维情况下，临界无序强度与线性团簇尺寸成反比.我们的结果与以前的数值计算结果一致，并与单参数标度理论相一致。
We develop a cluster typical medium theory to study localization in disordered electronic systems. Our formalism is able to incorporate non-local correlations beyond the local typical medium theory in a systematic way. The cluster typical medium theory utilizes the momentum-resolved typical density of states and hybridization function to characterize the localization transition. We apply the formalism to the Anderson model of localization in one- and two-dimensions. In one-dimension, we find that the critical disorder strength scales inversely with the linear cluster size with a power law, Wc ∼ (1/Lc)1/ν, whereas in two-dimensions, the critical disorder strength decreases logarithmically with the linear cluster size. Our results are consistent with previous numerical work and are in agreement with the one-parameter scaling theory.