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We have calculated the tunneling conductance of asuperconductor-insulator-superconductor junction based on the polaron-bipolarontheory of superconductivity. The predicted incoherent hump features are inquantitative agreement with tunneling spectra of optimally dopedBi2Sr2CaCu2O8+y and Bi2Sr2Ca2Cu3O10+y. We further show that angle-resolvedphotoemission spectra of underdoped cuprates are consistent with theBose-Einstein condensation of inter-site bipolarons and that thesuperconducting gap symmetry is d-wave, which is determined by the anomalouskinetic process rather than by the pairing interaction. In the overdopedcuprates (BCS-like superconductors), the superconducting gap symmetry is thesame as the pairing symmetry, which is found to be extended s-wave with eightline nodes in hole-doped cuprates and nodeless s-wave in electron-dopedcuprates. The polaronic effect significantly enhances the density of states atthe Fermi level and the effective electron-phonon coupling constant forlow-energy phonon modes, which is the key to the understanding ofhigh-temperature superconductivity.

Polaron-bipolaron superconductivity and the intrinsic pairing symmetry in cuprate superconductors