Application of the Fermi Hypernetted-Chain theory and effective correlation factor method for Laughlin Quantum Hall states

The Fermi Hypernetted-Chain theory and the Effective Correlation Factor method is applied to study the Laughlin states describing the fractional quantum Hall effect. Employing this formalism we evaluate the correlation energy, the radial distribution function, and the static structure factor, in the thermodynamic limit. The results obtained are similar to the boson Hypernetted-Chain treatment, usually adopted. The approach can be generalized to treat other correlated wave functions, such as wave functions of the composite fermion type for the fractional quantum Hall effect, in the thermodynamic limit