非均匀无序系统中Anderson局域化的标度理论——实空间重整化群途径

针对大量具有空间调制的无序系统,本文提出一种实空间重整化群变换方案。这个方案保证了在空间映象下相对的空间调制结构不变,因此可用以研究非均匀无序系统Anderson局域化的临界性质。在有限晶格近似下,我们对无序金属超晶格的一个简化模型求解了RG方程,得到不动点和临界指数的近似值,并发现空间调制在一定程度上引起无序系统电子局域化性质的改变。 关键词：

SCALING THEORY OF ANDERSON LOCALIZATION IN DISORDERED SYSTEMS WITH SPACE MODULATIONS A REAL SPACE RENORMALIZATION GROUP APPROACH

We developed a method of real space renormalization group transformation, suitable to handle a variety of space-modulated disordered systems. By this method, maintaining the relative space-modulation structures unchanged under transformation, we could study the critical properties of Anderson localization of these systems. By solving the RG equations for disordered metallic superlattices with finite-lattice approximation, the fixed point and critical exponent have been calculated approximately. It is found that space-modulation may change the properties of electronic localization in disordered systems to some extent.