(De)Localization in the Prime Schrodinger Operator

Details (De)Localization in the Prime Schrodinger Operator (De)Localization in the Prime Schrodinger Operator

2001-03-15

arxiv.org/abs/cond-mat/0103313v1

J. Phys. A: Math. Gen. 34(16), L239-L243 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 4 figures; to be published in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/34/16/103

It is reported a combined numerical approach to study the localization
properties of the one-dimensional tight-binding model with potential modulated
along the prime numbers. A localization-delocalization transition was found as
function of the potential intensity; it is also argued that there are
delocalized states for any value of the potential intensity.

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