Delocalization in the 1D Anderson model with long-range correlated disorder

被引:410
作者
de Moura, FABF [1 ]
Lyra, ML [1 ]
机构
[1] Univ Fed Alagoas, Dept Fis, BR-57072970 Maceio, AL, Brazil
关键词
D O I
10.1103/PhysRevLett.81.3735
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the nature of electronic states in a tight-binding one-dimensional model with the on-site energies exhibiting long-range correlated disorder and nonrandom hopping amplitudes. The site energies describe the trace of a fractional Brownian motion with a specified spectral density S(k) proportional to 1/k(alpha). Using a renormalization group technique, we show that for long-range correlated energy sequences with persistent increments (alpha > 2) the Lyapunov coefficient (inverse localization length) vanishes within a finite range of energy values revealing the presence of an Anderson-like metal-insulator transition. [S0031-9007(98)07502-4].
引用
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页码:3735 / 3738
页数:4
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