Electrons in disordered systems. Scaling near the mobility edge

Electrons in disordered systems. Scaling near the mobility edge
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DOI:
10.1007/bf01315248
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发表时间:
1976-12
期刊:
Zeitschrift für Physik B Condensed Matter
影响因子:
--
通讯作者:
F. Wegner
F. Wegner
中科院分区:
其他
文献类型:
--
作者:
F. Wegner

文献摘要

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重整化群自变量被应用于无序电子系统的系综(没有电子-电子相互作用)。重整化群过程包括一系列长度和能量标度的变换,以及电子态的正交变换。对于各种单粒子和双粒子关联以及迁移率边缘附近的低温电导率,得到了均匀性和幂定律。提出了两种类型的不动点系综,一种是用细胞模型近似的齐次系综,另一种是非齐次系综。
Renormalization group arguments are applied to an ensemble of disordered electronic systems (without electron-electron interaction). The renormalization group procedure consists of a sequence of transformations of the length and the energy scales, and of orthogonal transformations of the electronic states. Homogeneity and power laws are obtained for various one and two-particle correlations and for the low-temperature conductivity in the vicinity of the mobility edge. Two types of fixed point ensembles are proposed, a homogeneous ensemble which is roughly approximated by a cell model, and an inhomogeneous ensemble.