SCALING THEORY OF LOCALIZATION - ABSENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS
SCALING THEORY OF LOCALIZATION - ABSENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS
复制标题
DOI：
10.1103/physrevlett.42.673
复制
发表时间：
1979-01-01
影响因子：
8.6
通讯作者：
RAMAKRISHNAN, TV
中科院分区：
文献类型：
--
作者：
ABRAHAMS, E;ANDERSON, PW;RAMAKRISHNAN, TV
论证了无序电子系统的T= 0电导G以普遍的方式依赖于其长度尺度L。得到了尺度函数β（G）= d lnG d lnL的渐近形式，对G G c e 2和G G c都有效。在三维空间中，Gc是一个不稳定的不动点。在二维中，没有真正的金属行为;电导随着L从对数或较慢地平滑地过渡到指数下降。
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 β (G)= d ln G d ln L, valid for both G≪ G c≃ e 2 ℏ and G≫ 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.