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We studied the Volovik effect on the NMR measurements of the twounconventional superconducting (SC) states, the d-wave and $\pm$s-wave states.We showed the generic field dependencies of the spin-lattice relaxation rate$1/T_1$ and Knight shift $K$ at low temperature limit in the pure cases as:$1/T_1 \propto H \log H$, $K \propto \sqrt{H}$ for the d-wave, and $1/T_1\propto H$, $K \propto H$ for the $\pm$s-wave state, respectively. Performingnumerical calculations we showed that these generic power laws survive for thegood part of low field region with the realistic amount of impurities. We alsofound that the Volovik effect acts as an equivalent pair breaker as the unitaryimpurity scattering, hence induces the same temperature evolutions on $1/T_1$and $K$, respectively, as the unitary impurities in both SC states. Thisfinding implies that the Volovik effect should always be taken into account forthe analysis of the NMR measurements in the mixed state.

Volovik effect on NMR measurements of unconventional superconuctors