Abstract
The possibility of existing lengthy objects that fundamentally cannot be observed in low-energy electron scattering has been demonstrated. It has been shown in the one-dimensional strong coupling model that a pair of defects can be constructed so that the electron transmission coefficient in the low-energy limit (in the framework of the applicability of the effective mass method) is equal to one. In this limit, these objects are described not as a certain reflectionless potential, but as a homogeneous medium, where the effective size of an object vanishes; i.e., its collapse occurs.
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Original Russian Text © A.A. Gorbatsevich, 2006, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2006, Vol. 84, No. 11, pp. 708–713.
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Gorbatsevich, A.A. “Dark matter” in crystals: Objects invisible in low-energy electron scattering. Jetp Lett. 84, 593–597 (2007). https://doi.org/10.1134/S0021364006230056
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DOI: https://doi.org/10.1134/S0021364006230056