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

dc.creatorChen, Qijin
dc.creatorSchrieffer, J. R.
dc.date2002-02-28
dc.date2002-02-28
dc.date.accessioned2026-07-07T02:44:34Z
dc.date.available2026-07-07T02:44:34Z
dc.descriptionThe 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 $μ$, $T_c$, the excitation gap $Δ(T_c)$ at $T_c$, or $μ$, the order parameter $Δ_{sc}$, and the pseudogap $Δ_{pg}$ at temperature $T<T_c$, and study the effects of impurity scattering on the density of states, $T_c$ and the order parameter, and the pseudogap. Both $T_c$ and the order parameter as well as the total excitation gap are suppressed, whereas the pseudogap is not for given $T\le T_c$. Born scatterers are about twice as effective as unitary scatterers in suppressing $T_c$ and the gap. In the strong pseudogap regime, pair excitations contribute a new $T^{3/2}$ term to the low $T$ superfluid density. The initial rapid drop of the zero $T$ superfluid density in the unitary limit as a function of impurity concentration $n_i$ also agrees with experiment.
dc.description16 journal pages with 20 figures embedded, formatted using REVTeX 4
dc.identifierhttps://arxiv.org/abs/cond-mat/0202541
dc.identifierhttp://arxiv.org/abs/cond-mat/0202541
dc.identifierPhys. Rev. B 66, 014512 (2002)
dc.identifierdoi:10.1103/PhysRevB.66.014512
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18977
dc.subjectSuperconductivity
dc.subjectStrongly Correlated Electrons
dc.titlePairing fluctuation theory of high $T_c$ superconductivity in the presence of nonmagnetic impurities
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