Conclusions
Thus, quasiparticles can be localized in chains with narrow energy bands in the presence of large quantum fluctuations if the parameter μ satisfies the restriction γ0 < μ/8 < π. With increasing temperature the degree of localization first increases but then decreases. At a temperature above the critical value the excitation is delocalized, and the energy of the system is above the bottom of the energy band of the free quasiparticle.
In chains with broad energy bands a quasiparticle can be localized and such a state is energetically stable if the quantum fluctuations in the system are small and bounded by the inequalities (4.4). At the same time, the dependence of the degree of localization on the temperature is analogous to that for the case of narrow energy bands considered above.
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Additional information
Institute of Theoretical Physics, Ukrainian SSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 77, No. 2, pp. 179–189, November, 1988.
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Brizhik, L.S., Davydov, A.S. & Pershko, I.M. Quantum theory of strong localization of a quasiparticle in a linear molecular system. Theor Math Phys 77, 1129–1136 (1988). https://doi.org/10.1007/BF01016379
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DOI: https://doi.org/10.1007/BF01016379