Fractional Quantum Hall Effect: Recent Developments

Jainendra Jain

Jainendra Jain

Ganpathy N. Murthy

Using a Hamiltonian formulation of Composite Fermions that I recently developed with R. Shankar, I compute the dependence of the spin polarization on the temperature for the translationally invariant fractional quantum Hall states at $ν=1/3$ and $ν=2/5$. I compare my results to experiments at $ν=1/3$ and find reasonably good agreement.

Allan H. MacDonald

Jonathan Bain

Arkadiusz Wójs, G. J. Sreejith, Gunnar Möller +2 more

We review the recently developed bipartite composite fermion model for the excitations of the so-called Pfaffian state, a promising model for the fractional quantum Hall effect at the Landau level filling factor ν = 5/2.In particular, we demonstrate a necessary ingredient of the non-Abelian braid statistics, namely the degeneracy of spatially indistinguishable configurations of widely separated quasiparticles.