We use the Green's function formalism to evaluate analytically the stationary states for an electron moving in a one-dimensional chain in the presence of one and two adiabatic Holstein-type nonlinear impurities. For the case of one nonlinear monomer we find that, contrary to what occurs in the linear impurity problem, the strength of the impurity must be greater than half the bandwidth for a bound state to exist. In the case of a nonlinear dimer resonance phenomena are observed that lead to complete transmission through the dimer.
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Molina et al. (1993) studied this question.
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