Pairing fluctuation theory of high $T_c$ superconductivity in the presence of nonmagnetic impurities

Physics – Condensed Matter – Superconductivity

Scientific paper

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16 journal pages with 20 figures embedded, formatted using REVTeX 4

Scientific paper

10.1103/PhysRevB.66.014512

The pseudogap phenomena in the cuprate superconductors requires a theory beyond the mean field BCS level. A natural candidate is to include strong pairing fluctuations, and treat the two-particle and single particle Green's functions self-consistently. At the same time, impurities are present in even the cleanest samples of the cuprates. Some impurity effects can help reveal whether the pseudogap has a superconducting origin and thus test various theories. Here we extend the pairing fluctuation theory for a clean system [Phys. Rev. Lett. 81, 4708 (1998)] to the case with nonmagnetic impurities. Both the pairing and the impurity $T$ matrices are included and treated self-consistently. We obtain a set of three equations for the chemical potential $\mu$, $T_c$, the excitation gap $\Delta(T_c)$ at $T_c$, or $\mu$, the order parameter $\Delta_{sc}$, and the pseudogap $\Delta_{pg}$ at temperature $T

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