论文标题
随机带矩阵中介质能量尺度上状态的局部密度的相关性
Correlation of local densities of states on mesoscopic energy scales in random band matrices
论文作者
论文摘要
我们对状态局部密度的相关函数的相关函数感兴趣，该量的介质量表是宽度$ w $ in Dimension $ 2 $的随机带矩阵。结果，我们表明，在扩散状态$ o（\ log（l/w））$ times $ o（$ l $）中，状态的本地密度交替呈阳性和负相关，是HE系统的大小。
We are interested in the phase transition of the correlation function of local densities of states at mesoscopic scales of random band matrices of width $W$ in dimension $2$. As a result, we show that the local densities of states are alternately positively and negatively correlated in the diffusive regime $O(\log(L/W))$ times, $L$ being the size of he system.
