准一维线中局域态密度的关联
Correlations of the local density of states in quasi-one-dimensional wires
摘要：
本文计算了小能量差下幺正对称类准一维无序金属丝的局域态密度的关联函数。利用超对称σ模型的一个表达式，我们得到了两点关联函数对点间距离的完全依赖性。在零能量差的极限下，我们的计算再现了单个局域波函数的统计特性。在Mott标度的顺序，我们得到了一个重入行为类似于严格的一维链的grammically大的距离。
英文摘要：
We report a calculation of the correlation function of the local density of states in a disordered quasi-one-dimensional wire in the unitary symmetry class at a small energy difference. Using an expression from the supersymmetric sigma-model, we obtain the full dependence of the two-point correlation function on the distance between the points. In the limit of zero energy difference, our calculation reproduces the statistics of a single localized wave function. At logarithmically large distances of the order of the Mott scale, we obtain a reentrant behavior similar to that in strictly one-dimensional chains.
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