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arXiv · cond-mat/9401022

Information Length and Localization in One Dimension

Imre Varga·János Pipek
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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.

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Imre Varga, János Pipek. 1994-01-12. Information Length and Localization in One Dimension. https://doi.org/10.1088/0953-8984%2F6%2F9%2F002

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