Conductivity of Paired Composite Fermions
25 July 2003
We develop a phenomenological description of the $nu=5/2$ quantum Hall state in which the Halperin-Lee-Read theory of the half-filled Landau level is combined with a $p$-wave pairing interaction between composite fermions (CFs). The electromagnetic response functions for the resulting mean-field superconducting state of the CFs are calculated and used in an RPA calculation of the $q$ and $omega$ dependent longitudinal conductivity of the physical electrons, a quantity which can be measured experimentally.