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. |