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(De)Localization in the Prime Schrodinger Operator

Cesar R. de Oliveira·Giancarlo Q. Pellegrino
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Abstract

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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Cesar R. de Oliveira, Giancarlo Q. Pellegrino. 2001-03-15. (De)Localization in the Prime Schrodinger Operator. https://doi.org/10.1088/0305-4470%2F34%2F16%2F103

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