论文标题
关键的安德森电子的低维生活
Low-Dimensional Life of Critical Anderson Electron
论文作者
论文摘要
我们表明，在其空间有效支持中存在3个维度的关键安德森电子，最近被确定为分形维度$ \ of \！ 8/3 $，无限量的概率为1。因此，其物理学完全局限于该较低维度的空间。陈述不同，对关键的安德森电子占用的空间的有效描述成为无限体积的完整描述。然后，我们表明，这是这些概念基础的有效计数维度的一般特征，其亚规值意味着通过有效支持的确切描述。
We show that critical Anderson electron in 3 dimensions is present in its spatial effective support, which was recently determined to be a region of fractal dimension $\approx \! 8/3$, with probability 1 in infinite volume. Hence, its physics is fully confined to space of this lower dimension. Stated differently, effective description of space occupied by critical Anderson electron becomes a full description in infinite volume. We then show that it is a general feature of the effective counting dimension underlying these concepts, that its subnominal value implies an exact description by effective support.
