标题： 关于条带上的安德森模型的涨落和局域化长度 显示英文标题

标题： On fluctuations and localization length for the Anderson model on a strip

摘要： 我们考虑条带上的安德森模型。 假设势具有有界密度且尾部显著，我们得到了有限区域内格林函数对数波动的下界。 这表明了条带宽度为$ W $的安德森模型的局域化长度有一个有效的估计，即$ \exp(CW^2) $。 实际上，这些结果是针对一个更一般的模型得到的，该模型在垂直方向上具有非局部算子。 显示英文摘要

摘要： We consider the Anderson model on a strip. Assuming that potentials have bounded density with considerable tails we get a lower bound for the fluctuations of the logarithm of the Green's function in a finite box. This implies an effective estimate by $ \exp(CW^2) $ for the localization length of the Anderson model on the strip of width $ W $. The results are obtained, actually, for a more general model with a non-local operator in the vertical direction.