Information Length and Localization in One Dimension

Abstract

The scaling properties of the wave functions in finite samples of the one dimensional Anderson model are analyzed. The states have been characterized using a new form of the information or entropic length, and compared with analytical results obtained by assuming an exponential envelope function. A perfect agreement is obtained already for systems of $10^3$--$10^4$ sites over a very wide range of disorder parameter $10^{-4}<W<10^4$. Implications for higher dimensions are also presented.

11 pages (+3 Figures upon request), Plain TEX

Cited by in corpus (4)

• Quantum transport and localization in 1d and 2d tight-binding lattices
• Level Repulsion and Dynamics in the Finite One-Dimensional Anderson Model
• The generalized localization lengths in one dimensional systems with correlated disorder
• Anderson and many-body localization in the presence of spatially correlated classical noise