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We study the temperature and doping evolution of the NMR Knight shift, spinrelaxation rate, and spin echo decay time in the pseudogap regime of thetwo-dimensional Hubbard model for parameters believed to be relevant to cupratesuperconductors using cluster dynamical mean field theory. We recover thesuppression of the Knight shift seen in experiment upon entering the pseudogapregime and find agreement between single and two-particle measures of thepseudogap onset temperature. The simulated spin-echo decay time shows a linearin T behavior at high T which flattens off as T is lowered, and increases asdoping is increased. The relaxation rate shows a marked increase as T islowered but no indication of a pseudogap on the Cu site, and a clear downturnon the O site, consistent with experimental results on single layer materialsbut different from double layer materials. The consistency of the simulatedsusceptibilities with experiment, along with similar agreement on thesingle-particle level and the absence of long-range order and symmetry breakingsuggests that the pseudogap is well described by strong short-range correlationeffects and that long-range order and multi-orbital effects are not required.

nature communications

Knight shifts, nuclear spin-relaxation rates, and spin echo decay times  in the pseudogap regime of the cuprates: Simulation and relation to  experiment