标题： 一维系统中长程相关无序的关键参数 显示英文标题

标题： Critical parameters for the one-dimensional systems with long-range correlated disorder

摘要： 我们研究了具有长程相关无序的紧束缚一维(1D)模型中的金属-绝缘体转变。在对角线无序情况下，站点能量位于$[-\frac{W}{2},\frac{W}{2}]$且具有幂律谱密度$S(k)\propto k^{-\alpha}$的情况下，我们研究了无序与关联之间的竞争。使用转移矩阵方法和有限尺寸标度分析，我们发现对于$\alpha>2$存在一个扩展本征态的有限范围，迁移率边位于$\pm E_{c}=\pm|2-W/2|$。此外，我们发现局域化长度（$\xi \sim |E-E_{c}|^{-\nu}$）的临界指数$\nu$为$\nu=1+1.4e^{2-\alpha}$。 因此我们的结果表明，无序强度$W$决定了迁移率边，相关性程度$\alpha$决定了临界指数。 显示英文摘要

摘要： We study the metal-insulator transition in a tight-binding one-dimensional (1D) model with long-range correlated disorder. In the case of diagonal disorder with site energy within $[-\frac{W}{2},\frac{W}{2}]$ and having a power-law spectral density $S(k)\propto k^{-\alpha}$, we investigate the competition between the disorder and correlation. Using the transfer-matrix method and finite-size scaling analysis, we find out that there is a finite range of extended eigenstates for $\alpha>2$, and the mobility edges are at $\pm E_{c}=\pm|2-W/2|$. Furthermore, we find the critical exponent $\nu$ of localization length ($\xi \sim |E-E_{c}|^{-\nu}$) to be $\nu=1+1.4e^{2-\alpha}$. Thus our results indicate that the disorder strength $W$ determines the mobility edges and the degree of correlation $\alpha$ determines the critical exponents.