(De)Localization in the Prime Schrödinger Operator

نویسندگان

César R. de Oliveira

Giancarlo Q. Pellegrino

چکیده

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. PACS numbers: 03.65.-w, 72.20.Ee, 72.10.Bg

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