Correlation energy of fractional-quantum-Hall-effect systems of composite fermions

Abstract

We find the RPA correlation energy and collective modes of the systems of composite fermions corresponding to the fillings of $1/3$, $1/5$, $2/5$ in the fractional quantum Hall effect. It is verified that transmutations to composite fermions do not change the ground-state energy.

8 pages (Latex), 3 figures available upon request, accepted for publication in Phys.Lett.A

References in corpus (3)

• Response functions and Spectrum of Collective Excitations of Fractional Quantum Hall Effect Systems
• Hartree-Fock ground-state energy of anyons with no Coulomb interaction in the zero effective field
• Statistics transmutations in two-dimensional systems and the fractional quantum Hall effect