Nodal correlations in the incompressible composite fermion liquid

To search for possible correlations in the system of interpenetrating liquids of zeroes and electrons in the fractional quantum Hall effect, this paper studies several ground state correlation functions involving particles and zeroes in the incompressible states of composite fermions at filling factors $\nu =2/5,$ 3/7, and 4/9. It is found that the zeroes form a liquid of their own in which they repel one another at short distances, and also repel particles (with the obvious exception of the Pauli zeroes that are tied to the particles). For certain states, it is found that three body configurations containing two nearby electrons and a zero in the middle are highly probable, indicating that the zeroes tend to insert themselves between nearby particles in an effort to keep them apart.