Abstract
In this paper, the renormalized frequency spectrum and one-particle spectral function of a high temperature superconductor (HTS) is studied using double time thermodynamic Green's function approach via a newly formulated Hamiltonian (without considering BCS type Hamiltonian) which includes the effects of electron–phonon interactions, anharmonicities and that of isotopic impurities. It is investigated that the renormalized frequency further invokes the appearance of energy gap and functional dependence of dx2-y2 wave pairing in the superconducting state in cuprates. The salient feature of the present theory is the electron–phonon interaction in the vicinity of the impurity atoms reveals four-fold symmetric quasiparticle "cloud" aligned with the nodes of d-wave superconducting gap, which is believed to characterize superconductivity in high temperature superconducting materials. It has been further inferred that, a modest contribution of anharmonicity can also induce superconductivity.
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