Interacting composite fermion states for the second Landau level fractional quantum Hall effect

Jainendra K. Jain

 

 I will describe "bipartite" wave functions that describe complex pairing-like interactions between composite fermions. I will present evidence, based on comparisons with exact results, that these wave functions provide (i) an excellent account of the physics of a model three body interaction for which the Pfaffian wave function is the exact ground state; (ii) an excellent approximation of the ground and excited states at filling factors 2+3/5 and 2+4/7; and (iii) states of "neutral composite fermion" at 5/2 that are adiabatically connected to the actual Coulomb states. This model has interesting implications for the issue of nonabelian braid statistics of quasiparticles and quasiholes of paired composite fermion states. This work has been done in collaboration with G.J. Sreejith, C. Toke, and A. Wojs.