Abstract
The discrete analog of the tight binding approximation is investigated. Let λ0 be some energy level of a real discrete potentialq. Then there exists an energy band for a one-dimensional 2N-periodic chain of the same atoms which lies near λ0. We study the asymptotic behavior of this band whenN tends to infinity.
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Mironov, A.L., Oleinik, V.L. The discrete tight binding approximation. J Stat Phys 75, 317–335 (1994). https://doi.org/10.1007/BF02186291
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DOI: https://doi.org/10.1007/BF02186291