Effect of phase fluctuations on INS and NMR experiments in the pseudo-gap regime of the underdoped cuprates

Abstract

We present a theory for inelastic neutron scattering (INS) and nuclear magnetic resonance (NMR) experiments in the pseudo-gap regime of the underdoped high-$T_c$ cuprates. We show that superconducting phase fluctuations greatly affect the temperature and frequency dependence of the spin-susceptibility, ${\chi }^{\prime \prime }$, probed by both experimental techniques. This result explains the appearance of a {\it resonance peak}, observed in INS experiments, below a temperature $T_0>T_c$. In the same temperature regime, we find that the ${}^{63}$Cu spin-lattice relaxation rate, $1/T_1$, measured in NMR experiments, is suppressed. Our results are in qualitative agreement with the available experimental data.

5 pages, RevTeX, 3 eps figures embedded in the text