Abstract
Nonlinear self-trapping effects are frequently proposed in the nonlinear science community — in contexts from excitons, magnons, and polarons in solid state materials, to molecular crystals and polypeptides, to nonlinear optics. The general phenomena of self-trapping involves the selfconsistent response of one field to one or more with which it is coupled, and provides excellent examples of coexisting influences of nonlinearity, lattice discreteness, quantum and thermal fluctuations, disorder, competing timescales, etc. Correspondingly, many approximate analytical and numerical techniques have been used to approach these complex issues. Here we consider a simple copper-oxygen cluster which appears in many high-temperature superconductors, which displays unusual structural and optical behavior, and which we model in terms of “dynamic polaron tunneling.” We introduce a Peierls-Hubbard model to describe this cluster and use exact diagonalization to evaluate its properties. We emphasize the importance of nonlinear and nonadiabatic aspects of structural measurements, inelastic neutron scattering, and phonon spectroscopy (infrared and Raman).
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© 1994 Springer Science+Business Media New York
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Bishop, A.R., Mustre de Leon, J., Salkola, M.I. (1994). Polaron Tunneling in High-Temperature Superconductors. In: Spatschek, K.H., Mertens, F.G. (eds) Nonlinear Coherent Structures in Physics and Biology. NATO ASI Series, vol 329. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1343-2_30
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DOI: https://doi.org/10.1007/978-1-4899-1343-2_30
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