文摘
We calculate the interacting dynamic spin susceptibility of hole-doped cuprates in d-wave superconducting state based on spin-fermion model at zero and finite temperatures. The first-order approximation of the expansion of energy gap around the node point is used. By solving Eliashberg equations and getting Green functions, an analytic relation for non-interacting polarization operator is obtained. The temperature (T) and frequency (Ω) dependence of polarization are calculated by using Matsubara frequency sum rule. By numerical analysis, the plotted polarization with all contributed terms (real part) with respect to Ω shows that there is a broadening around the peak (corresponding to excited energy). After using the calculated analytic non-interacting polarization in one of self-consistent Eliashberg equations (self-energy), the interacting polarization is achieved. The real parts of non-interacting and interacting polarizations in terms of T and Ω are compared and discussed. One of the results shows that the effect of interaction on system leads to an increase in the value of polarization and also at fixed temperature; maximum of polarization occurs at higher Ω. Therefore, for interacting case, the start of damping part in terms of external frequency is postponed.