Abstract
The purpose of this paper is to explain the unusual isotope coefficients of cuprates by considering the influence of a pseudogap and phononic and electronic interactions in weak-coupling limit. Exact analytic expressions of the isotope exponent (a) for the s- and d-wave pairing symmetry are derived. It is found that α can fit the experimental data well and that the presence of the pseudogap increases a in the low-T c region, but has no effect in the high-T c region.
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