There is compelling theoretical evidence1 that the ν = 5/2 fractional quantum Hall state is a Moore-Read state2 - a state which can be viewed as a spin-polarized p-wave superconductor of composite fermions. The question remains, how can one test this hypothesis experimentally? To address this we have developed a semi-phenomenological description of this state in which the Halperin-Lee-Read3 theory of the half-filled Landau level is modified by adding a p-wave pairing interaction between composite fermions by hand. The electromagnetic response functions for the resulting mean-field p-wave superconducting state are then calculated and used in an RPA calculation of the physical electronic response. In particular, we predict the wave-vector and frequency dependence of the longitudinal conductivity σxx(q,ω) which can be measured in surface-acoustic-wave propagation experiments.4
Acoustic wave absorption as a probe of dynamical geometrical response of fractional quantum Hall liquids
