LOCALIZATION TRANSITION IN THE ANDERSON MODEL ON THE BETHE LATTICE - SPONTANEOUS SYMMETRY-BREAKING AND CORRELATION-FUNCTIONS
LOCALIZATION TRANSITION IN THE ANDERSON MODEL ON THE BETHE LATTICE - SPONTANEOUS SYMMETRY-BREAKING AND CORRELATION-FUNCTIONS
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DOI：
10.1016/0550-3213(91)90028-v
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发表时间：
1991-12-09
影响因子：
2.8
通讯作者：
FYODOROV, YV
中科院分区：
文献类型：
--
作者：
MIRLIN, AD;FYODOROV, YV
给出了Bethe格点上安德森模型的完整解析解。在超对称方法的范围内，离域跃迁表现为UOSP（2，2/2，2）不变性的自发破缺，并且可以通过序参数函数来描述。我们属性一个明确的物理意义，这个功能提供明确的连接与已知的行为的绿色功能在无序系统。除了再现的迁移率边缘的位置的已知结果，我们计算的密度-密度相关函数在本地化和扩展阶段。发现的临界行为相矛盾的单参数标度假设，在超矩阵西格玛模型的Bethe晶格的框架中得到的结果一致。
We present the complete analytical solution of the Anderson model on the Bethe lattice. Within the scope of the supersymmetric approach the delocalization transition manifests itself as a spontaneous breaking of the UOSP(2,2/2,2) invariance and can be described by means of the order-parameter function. We attribute a clear physical meaning to this function providing the explicit connection with the known behaviour of Green functions in disordered systems. Apart from reproducing the known results for the position of the mobility edge, we calculate the density-density correlation function in both localized and extended phases. The found critical behaviour contradicts to the one-parameter scaling hypothesis, in agreement with results obtained in the framework of the supermatrix sigma-model on the Bethe lattice.