缩放比例
物理
电导
对数
指数函数
扩散
数学物理
凝聚态物理
功能(生物学)
量子力学
数学分析
数学
几何学
进化生物学
生物
作者
Elihu Abrahams,Philip W. Anderson,D.C. Licciardello,T. V. Ramakrishnan
标识
DOI:10.1103/physrevlett.42.673
摘要
Arguments are presented that the $T=0$ conductance $G$ of a disordered electronic system depends on its length scale $L$ in a universal manner. Asymptotic forms are obtained for the scaling function $\ensuremath{\beta}(G)=\frac{d\mathrm{ln}G}{d\mathrm{ln}L}$, valid for both $G\ensuremath{\ll}{G}_{c}\ensuremath{\simeq}\frac{{e}^{2}}{\ensuremath{\hbar}}$ and $G\ensuremath{\gg}{G}_{c}$. In three dimensions, ${G}_{c}$ is an unstable fixed point. In two dimensions, there is no true metallic behavior; the conductance crosses over smoothly from logarithmic or slower to exponential decrease with $L$.
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