PLASMA RESONANCE AND REMAINING JOSEPHSON COUPLING IN THE DECOUPLED VORTEX LIQUID-PHASE IN LAYERED SUPERCONDUCTORS

We relate the frequency of the Josephson plasma resonance in layered s uperconductors with the frequency dependent superconducting response. We demonstrate that the sharp resonance can persist even when the glob al superconducting coherence is broken provided the resonance frequenc y is larger than the frequency of interlayer phase slips. In this situ ation the plasma frequency is determined by the average Josephson ener gy, which can be calculated using the high temperature expansion. We a lso find the temperature dependence of the average Josephson energy fr om the Monte Carlo simulations and determine the applicability region of the high temperature expansion.