Statistics of Lyapunov exponents of quasi-one-dimensional disordered systems

被引：9
|
作者：
Zhang, YY [1 ]
Xiong, SJ
机构：
[1] Nanjing Univ, Natl Lab Solid State Microstruct, Nanjing 210093, Peoples R China
[2] Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China
来源：
PHYSICAL REVIEW B | 2005年 / 72卷 / 13期
关键词：
D O I：
10.1103/PhysRevB.72.132202
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Statistical properties of Lyapunov exponents (LE) are numerically calculated in a quasi-one-dimensional (1D) Anderson model, which is in a 2D or 3D lattice with a finite cross section. The single-parameter scaling (SPS) variable tau relating the Lyapunov exponents gamma and their variances sigma by tau=sigma L-2/<gamma > is calculated for different lateral coupling t and disorder strength W. In a wide range of t, tau is approximately independent of W, but it has different values for LEs in different channels. For small t, the distribution of the smallest LE is non-Gaussian and tau strongly depends on W, remarkably different from the 1D SPS hypothesis.
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页数：4
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