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Periodic Landau-Zener problem in long-range migration

Б. Л. ОксенгендлерInstitute of Nuclear Physics, Academy of Sciences of Uzbekistan, Tashkent, 702132, UzbekistanN. N. TuraevaInstitute of Polymer Chemistry and Physics, Academy of Sciences of Uzbekistan, Tashkent, 700128, Uzbekistan
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From studies of radiation effects in semiconductors at low temperatures, it is known that an interstitial atom migrates over a distance of up to 1000 Å (Watkins effect [1]). The interpretation of this effect is based on the inversion of potential energy curves of an interstitial atom in semiconductors when it changes its charge. At low temperatures, a cascade of radiationless transitions can occur between the ground and excited states of a relocalized electron, which leads to the coherent tunneling of the interstitial atom through the lattice. The description of this effect using the scattering matrix S leads to the dispersion law and to an equation for the effective mass of such a quasiparticle called an inverson.

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