Exact Analytic Results for Composite Fermions in a Rajaraman-Sondhi like formulation
arXiv:cond-mat/9712274 · doi:10.1142/S0217984998001426
Abstract
We obtain the exact spectrum and the unique ground state of two composite fermions (in a Rajaraman - Sondhi like formulation) in an external magnetic field $B$. We show that the energy eigenvalues decrease with increasing angular momentum, thus making it energetically favourable for composite fermions to stay apart. Generalising this result to a gas of composite fermions, we provide an energetic justification of the Laughlin and Jain wave-functions.
Technical error corrected