Abstract
The negative eigenvalue theorem is used to obtain an analytic result for the integrated density of electron states in several types of low-dimensional lattices with two impurities in the tight binding approximation. From this expression, analytic conditions for the existence of localized electronic states are obtained. The result is directly applicable to the problem of surface states and that of chemisorption on a linear chain.
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References
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The author would like to thank Prof. Dr. L.Valenta for suggesting the problem and for constant encouragement.
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Skála, L. Analytic conditions for the existence of localized electron states in linear chains with two impurities. Czech J Phys 26, 199–207 (1976). https://doi.org/10.1007/BF01595354
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DOI: https://doi.org/10.1007/BF01595354